42380017680
42,380,017,680 is an even composite number composed of eight prime numbers multiplied together.
42380017680 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 42380017680:
24 × 3 × 5 × 72 × 112 × 13 × 29 × 79
(2 × 2 × 2 × 2 × 3 × 5 × 7 × 7 × 11 × 11 × 13 × 29 × 79)See below for interesting mathematical facts about the number 42380017680 from the Numbermatics database.
Names of 42380017680
- Cardinal: 42380017680 can be written as Forty-two billion, three hundred eighty million, seventeen thousand, six hundred eighty.
Scientific notation
- Scientific notation: 4.238001768 × 1010
Factors of 42380017680
Divisors of 42380017680
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 13 14 15 16 20 21 22 24 26 28 29 30 33 35 39 40 42 44 48 49 52 55 56 58 60 65 66 70 77 78 79 80 84 87 88 91 98 104 105 110 112 116 120 121 130 132 140 143 145 147 154 156 158 165 168 174 176 182 195 196 203 208 210 220 231 232 237 240 242 245 260 264 273 280 286 290 294 308 312 316 319 330 336 348 363 364 377 385 390 392 395 406 420 429 435 440 455 462 464 474 484 490 520 528 539 546 553 560 572 580 588 605 609 616 624 632 637 638 660 696 715 726 728 735 754 770 780 784 790 812 840 847 858 869 870 880 910 924 948 957 968 980 1001 1015 1027 1040 1078 1092 1106 1131 1144 1155 1160 1176 1185 1210 1218 1232 1264 1274 1276 1320 1365 1392 1421 1430 1452 1456 1470 1508 1540 1560 1573 1580 1595 1617 1624 1659 1680 1694 1716 1738 1740 1815 1820 1848 1885 1896 1911 1914 1936 1960 2002 2030 2054 2145 2156 2184 2212 2233 2262 2288 2291 2310 2320 2352 2370 2420 2436 2541 2548 2552 2607 2639 2640 2695 2730 2765 2842 2860 2904 2940 3003 3016 3045 3080 3081 3120 3146 3160 3185 3190 3234 3248 3318 3388 3432 3476 3480 3509 3630 3640 3696 3770 3792 3822 3828 3871 3920 4004 4060 4108 4147 4235 4263 4290 4312 4345 4368 4424 4466 4524 4582 4620 4719 4740 4785 4840 4872 5005 5082 5096 5104 5135 5214 5278 5390 5460 5530 5655 5684 5720 5808 5880 5929 6006 6032 6083 6090 6160 6162 6292 6320 6370 6380 6468 6636 6699 6776 6864 6873 6952 6960 7007 7018 7105 7189 7260 7280 7540 7644 7656 7742 7865 7917 8008 8085 8120 8216 8294 8295 8470 8526 8580 8624 8690 8848 8932 9048 9164 9240 9438 9480 9555 9559 9570 9680 9744 10010 10164 10192 10270 10428 10527 10556 10780 10920 11011 11060 11165 11297 11310 11368 11440 11455 11613 11760 11858 12012 12166 12180 12324 12441 12584 12705 12740 12760 12936 13035 13195 13272 13398 13552 13746 13904 14014 14036 14210 14378 14520 15015 15080 15288 15312 15405 15484 15631 15730 15834 16016 16037 16170 16240 16432 16588 16590 16940 17052 17160 17380 17545 17787 17864 18096 18249 18328 18473 18480 18876 18960 19110 19118 19140 19355 20020 20328 20540 20735 20856 21021 21054 21112 21315 21560 21567 21840 22022 22120 22330 22594 22620 22736 22910 23226 23595 23716 24024 24332 24360 24563 24648 24882 25168 25201 25410 25480 25520 25872 26070 26390 26544 26796 27492 28028 28072 28420 28677 28756 29029 29040 29645 29783 30030 30160 30415 30576 30810 30968 31262 31460 31668 32074 32340 33033 33176 33180 33495 33880 33891 34104 34320 34365 34760 35035 35090 35574 35728 35945 36498 36656 36946 37752 38220 38236 38280 38710 39585 40040 40656 41080 41470 41712 42042 42108 42224 42581 42630 43120 43134 44044 44240 44660 45188 45240 45617 45820 46452 46893 47190 47432 47795 48048 48111 48664 48720 49126 49296 49764 50323 50402 50820 50960 52140 52635 52780 53592 54984 55055 55419 56056 56144 56485 56840 57354 57512 58058 58065 59290 59566 60060 60830 61620 61936 62205 62524 62920 63336 64148 64680 66066 66352 66360 66913 66990 67760 67782 68208 68730 69520 70070 70180 71148 71890 72996 73689 73892 75504 75603 76440 76472 76560 77077 77420 78155 79079 79170 80080 80185 82160 82940 84084 84216 85162 85260 86268 87087 88088 88935 89320 89349 90376 90480 91234 91245 91640 92365 92904 93786 94380 94864 95590 96222 97328 98252 99528 100646 100804 101640 104280 105105 105270 105560 107184 107835 109968 110110 110838 112112 112259 112970 113680 114708 115024 116116 116130 118580 119132 120120 121660 122815 123240 124267 124410 125048 125840 126005 126672 127743 128296 129360 132132 132720 133826 133980 135564 136851 137460 140140 140360 142296 143385 143780 145145 145992 147378 147784 148915 150969 151206 152880 152944 154154 154840 156310 158158 158340 160370 165165 165880 168168 168432 169455 170324 170520 171941 172536 174174 176176 176407 177870 178640 178698 180752 182468 182490 183280 184730 185808 187572 188760 191180 192444 196504 199056 200739 201292 201608 203203 203280 208481 208560 210210 210540 211120 212905 215670 220220 221676 224518 225940 228085 229416 231231 232232 232260 234465 237160 237237 238264 240240 240555 243320 245630 246480 248534 248820 250096 251615 252010 255486 256592 264264 267652 267960 271128 273702 274920 277095 277211 280280 280720 284592 286770 287560 290290 291984 294756 295568 297830 301938 302412 308308 309680 312620 316316 316680 319319 320740 327613 330330 331760 334565 336336 336777 338910 340648 341040 343882 345072 348348 352814 355740 357396 364936 364980 368445 369460 372801 375144 377520 378015 382360 384888 385385 393008 395395 401478 402584 403216 406406 416962 420420 421080 425810 431340 435435 440440 443352 446745 449036 451880 456170 458832 462462 464464 464520 468391 468930 474320 474474 476528 481110 486640 491260 497068 497640 503230 504020 510972 515823 528528 529221 535304 535920 542256 547404 549840 553553 554190 554422 560560 561295 573540 575120 580580 589512 595660 603876 604824 609609 616616 621335 625240 625443 632632 633360 638638 638715 641480 655226 660660 669130 673554 677820 681296 684255 687764 696696 705628 711480 714792 729872 729960 736890 738920 745602 750288 754845 756030 764720 769776 770770 790790 802956 805168 812812 831633 833924 840840 842160 851620 859705 862680 869869 870870 880880 882035 886704 893490 898072 903760 912340 924924 929040 936782 937860 948948 957957 962220 982520 982839 994136 995280 1003695 1006460 1008040 1016015 1021944 1031646 1042405 1058442 1070608 1094808 1107106 1108380 1108844 1122590 1147080 1156155 1161160 1179024 1186185 1191320 1207752 1209648 1219218 1233232 1234849 1242670 1250480 1250886 1265264 1277276 1277430 1282960 1310452 1321320 1338260 1347108 1355640 1368510 1375528 1386055 1393392 1405173 1411256 1422960 1429584 1459367 1459920 1473780 1477840 1491204 1509690 1512060 1541540 1581580 1596595 1605912 1625624 1638065 1660659 1663266 1667848 1681680 1683885 1703240 1719410 1725360 1739738 1741740 1764070 1786980 1796144 1824680 1849848 1864005 1873564 1875720 1897896 1915914 1924440 1940477 1965040 1965678 1988272 2007390 2012920 2016080 2032030 2043888 2063292 2084810 2116884 2189616 2214212 2216760 2217688 2235233 2245180 2293291 2294160 2312310 2322320 2341955 2372370 2382640 2415504 2438436 2469698 2485340 2501772 2554552 2554860 2579115 2609607 2620904 2642640 2646105 2676520 2694216 2711280 2737020 2751056 2767765 2772110 2810346 2822512 2918734 2947560 2982408 3019380 3024120 3048045 3083080 3127215 3163160 3193190 3211824 3251248 3276130 3321318 3326532 3335696 3367770 3406480 3438820 3479476 3483480 3528140 3573960 3603743 3649360 3699696 3704547 3728010 3747128 3751440 3795792 3831828 3848880 3880954 3931356 4014780 4025840 4064060 4126584 4158165 4169620 4233768 4349345 4378101 4428424 4433520 4435376 4470466 4490360 4586582 4624620 4683910 4744740 4789785 4876872 4914195 4939396 4970680 5003544 5109104 5109720 5158230 5219214 5241808 5292210 5353040 5388432 5474040 5535530 5544220 5620692 5821431 5837468 5895120 5964816 6038760 6048240 6089083 6096090 6166160 6174245 6254430 6326320 6386380 6552260 6642636 6653064 6705699 6735540 6877640 6879873 6958952 6966960 7025865 7056280 7147920 7207486 7296835 7409094 7456020 7494256 7663656 7761908 7862712 8029560 8128120 8253168 8303295 8316330 8339240 8467536 8698690 8756202 8856848 8940932 8980720 9173164 9249240 9367820 9489480 9579570 9702385 9753744 9828390 9878792 9941360 10007088 10219440 10316460 10438428 10584420 10811229 10948080 11071060 11088440 11176165 11241384 11466455 11642862 11674936 12077520 12178166 12192180 12348490 12508860 12772760 13048035 13104520 13285272 13306128 13411398 13471080 13583339 13755280 13759746 13917904 14051730 14112560 14414972 14593670 14818188 14912040 15327312 15523816 15725424 16053037 16059120 16256240 16606590 16632660 16678480 17397380 17512404 17881864 18018715 18267249 18346328 18498480 18522735 18735640 18978960 19159140 19404770 19656780 19757584 20632920 20876856 21168840 21622458 21890505 22142120 22176880 22352330 22482768 22932910 23285724 23349872 24356332 24384360 24696980 25017720 25226201 25545520 26096070 26209040 26570544 26822796 26942160 27166678 27519492 28103460 28829944 29107155 29187340 29636376 29824080 30445415 31047632 32106074 33213180 33265320 33528495 34399365 34794760 35024808 35763728 36037430 36534498 36692656 37045470 37471280 38318280 38809540 39313560 40750017 41265840 41753712 42337680 43244916 43781010 44284240 44704660 45865820 46571448 48159111 48712664 48768720 49393960 50035440 50452402 52192140 53645592 54056145 54333356 55038984 56206920 57659888 58214310 58374680 59272752 60890830 64212148 66426360 66530640 67056990 67916695 68798730 69589520 70049616 72074860 73068996 74090940 75678603 76636560 77619080 78627120 80265185 81500034 86489832 87562020 89409320 91336245 91731640 93142896 96318222 97425328 98787920 100904804 104384280 107291184 108112290 108666712 110077968 112413840 116428620 116749360 121781660 126131005 128424296 132852720 134113980 135833390 137597460 144149720 146137992 148181880 151357206 155238160 160530370 163000068 172979664 175124040 176583407 178818640 182672490 183463280 192636444 201809608 203750085 208768560 216224580 217333424 232857240 240795555 243563320 252262010 256848592 268227960 271666780 275194920 288299440 292275984 296363760 302714412 321060740 326000136 350248080 353166814 365344980 378393015 385272888 403619216 407500170 432449160 465714480 481591110 487126640 504524020 529750221 536455920 543333560 550389840 605428824 642121480 652000272 706333628 730689960 756786030 770545776 815000340 864898320 882917035 963182220 1009048040 1059500442 1086667120 1210857648 1284242960 1412667256 1461379920 1513572060 1630000680 1765834070 1926364440 2018096080 2119000884 2648751105 2825334512 3027144120 3260001360 3531668140 3852728880 4238001768 5297502210 6054288240 7063336280 8476003536 10595004420 14126672560 21190008840 42380017680
- Sum of all divisors σ(n): 189512870400
- Sum of proper divisors (its aliquot sum) s(n): 147132852720
- 42380017680 is an abundant number, because the sum of its proper divisors (147132852720) is greater than itself. Its abundance is 104752835040
Bases of 42380017680
- Binary: 1001110111100000101111000000000100002
- Hexadecimal: 0x9DE0BC010
- Base-36: JGVYUXC
Squares and roots of 42380017680
- 42380017680 squared (423800176802) is 1796065898557112582400
- 42380017680 cubed (423800176803) is 76117304535295517731862456832000
-
The
square root of 42380017680 is 205864.0757393093 -
The
cube root of 42380017680 is 3486.4789264737
Scales and comparisons
How big is 42380017680?- 42,380,017,680 seconds is equal to 1,347 years, 28 weeks, 5 days, 11 hours, 8 minutes.
-
To count from 1 to 42,380,017,680 would take you about two thousand, six hundred ninety-five years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 42380017680 cubic inches would be around 290.5 feet tall.
Recreational maths with 42380017680
- 42380017680 backwards is 08671008324
- 42380017680 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 42380017680's digits is 39
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 42380017680 - Facts about the integer". Numbermatics.com. 2024. Web. 21 September 2024.
APA style:
Numbermatics. (2024). Number 42380017680 - Facts about the integer. Retrieved 21 September 2024, from https://numbermatics.com/n/42380017680/
Chicago style:
Numbermatics. 2024. "Number 42380017680 - Facts about the integer". https://numbermatics.com/n/42380017680/
The information we have on file for 42380017680 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
Keywords: Divisors of 42380017680, math, Factors of 42380017680, curriculum, school, college, exams, university, Prime factorization of 42380017680, STEM, science, technology, engineering, physics, economics, calculator, forty-two billion, three hundred eighty million, seventeen thousand, six hundred eighty.