42688134473920
42,688,134,473,920 is an even composite number composed of seven prime numbers multiplied together.
What does the number 42688134473920 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1008 divisors.
42688134473920 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand and eight divisors.
Prime factorization of 42688134473920:
26 × 5 × 132 × 17 × 19 × 37 × 2572
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 13 × 13 × 17 × 19 × 37 × 257 × 257)See below for interesting mathematical facts about the number 42688134473920 from the Numbermatics database.
Names of 42688134473920
- Cardinal: 42688134473920 can be written as Forty-two trillion, six hundred eighty-eight billion, one hundred thirty-four million, four hundred seventy-three thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 4.268813447392 × 1013
Factors of 42688134473920
Divisors of 42688134473920
- Number of divisors d(n): 1008
-
Complete list of divisors:
1 2 4 5 8 10 13 16 17 19 20 26 32 34 37 38 40 52 64 65 68 74 76 80 85 95 104 130 136 148 152 160 169 170 185 190 208 221 247 257 260 272 296 304 320 323 338 340 370 380 416 442 481 494 514 520 544 592 608 629 646 676 680 703 740 760 832 845 884 962 988 1028 1040 1088 1105 1184 1216 1235 1258 1285 1292 1352 1360 1406 1480 1520 1615 1690 1768 1924 1976 2056 2080 2210 2368 2405 2470 2516 2570 2584 2704 2720 2812 2873 2960 3040 3145 3211 3230 3341 3380 3515 3536 3848 3952 4112 4160 4199 4369 4420 4810 4883 4940 5032 5140 5168 5408 5440 5624 5746 5920 6080 6253 6290 6422 6460 6682 6760 7030 7072 7696 7904 8177 8224 8398 8738 8840 9139 9509 9620 9766 9880 10064 10280 10336 10816 11248 11492 11840 11951 12506 12580 12844 12920 13364 13520 14060 14144 14365 15392 15808 16055 16354 16448 16705 16796 17476 17680 18278 19018 19240 19532 19760 20128 20560 20672 20995 21845 22496 22984 23902 24415 25012 25160 25688 25840 26728 27040 28120 28730 30784 31265 32110 32708 33410 33592 34952 35360 36556 38036 38480 39064 39520 40256 40885 41120 41990 43433 43690 44992 45695 45968 47545 47804 48830 50024 50320 51376 51680 53456 54080 54587 56240 56797 57460 59755 62530 63479 64220 65416 66049 66820 67184 69904 70720 73112 76072 76960 78128 79040 81770 82240 83011 83980 86866 87380 91390 91936 95090 95608 97660 100048 100640 102752 103360 106301 106912 109174 112480 113594 114920 118807 119510 123617 125060 126958 128440 130832 132098 133640 134368 139808 146224 152144 153920 155363 156256 161653 163540 166022 167960 173732 174760 180671 182780 183872 190180 191216 195320 200096 201280 205504 212602 213824 217165 218348 224960 227188 229840 237614 239020 247234 250120 253916 256880 261664 264196 267280 268736 272935 279616 283985 292448 304288 310726 312512 317395 323306 327080 330245 332044 335920 347464 349520 361342 365560 380360 382432 390640 400192 415055 425204 434330 436696 454376 459680 475228 478040 494468 500240 507832 513760 523328 528392 531505 534560 545870 567970 584896 594035 608576 618085 621452 634790 646612 654160 660490 664088 671840 694928 699040 722684 731120 738361 760720 764864 776815 781280 808265 825227 830110 850408 858637 868660 873392 903355 908752 919360 950456 956080 988936 1000480 1015664 1027520 1056784 1063010 1069120 1079143 1091740 1122833 1135940 1188070 1236170 1242904 1254931 1269580 1293224 1308320 1320980 1328176 1343680 1389856 1398080 1445368 1462240 1476722 1521440 1553630 1562560 1607021 1616530 1650454 1660220 1700816 1717274 1737320 1746784 1806710 1817504 1900912 1912160 1977872 2000960 2019719 2031328 2101489 2113568 2126020 2158286 2183480 2245666 2271880 2348723 2376140 2443813 2472340 2485808 2509862 2539160 2586448 2616640 2641960 2656352 2779712 2890736 2924480 2953444 3042880 3071407 3107260 3214042 3233060 3300908 3320440 3401632 3434548 3474640 3493568 3613420 3635008 3691805 3801824 3824320 3955744 4039438 4062656 4126135 4202978 4227136 4252040 4293185 4316572 4366960 4491332 4543760 4697446 4752280 4887626 4944680 4971616 5019724 5078320 5172896 5283920 5312704 5395715 5614165 5781472 5906888 6142814 6214520 6274655 6428084 6466120 6601816 6640880 6803264 6869096 6949280 7226840 7383610 7603648 7911488 8035105 8078876 8252270 8405956 8504080 8586370 8633144 8733920 8982664 9087520 9394892 9504560 9775252 9889360 9943232 10039448 10098595 10156640 10345792 10507445 10567840 10791430 11162281 11228330 11562944 11743615 11813776 12219065 12285628 12429040 12549310 12856168 12932240 13203632 13281760 13738192 13898560 14028859 14453680 14596829 14767220 15357035 16070210 16157752 16314103 16504540 16811912 17008160 17172740 17266288 17467840 17965328 18175040 18789784 19009120 19550504 19778720 20078896 20197190 20313280 21014890 21135680 21333827 21582860 22324562 22456660 23487230 23627552 24438130 24571256 24858080 25098620 25712336 25864480 26407264 26563520 27319357 27476384 28057718 28907360 29193658 29534440 30533399 30714070 31769569 32140420 32315504 32628206 33009080 33623824 34016320 34345480 34532576 35930656 37579568 38018240 39101008 39557440 39928291 40157792 40394380 41544821 42029780 42667654 43165720 44649124 44913320 46432447 46974460 47255104 48876260 49142512 49716160 50197240 51424672 51728960 52814528 54638714 54952768 55811405 56115436 57814720 58387316 59068880 61066798 61428140 63539138 64280840 64631008 65256412 66018160 67247648 68690960 69065152 70144295 71861312 72984145 75159136 78202016 79856582 80315584 80788760 81570515 83089642 84059560 85335308 86331440 89298248 89826640 92864894 93948920 97752520 98285024 100394480 102849344 106669135 109277428 111622810 112230872 116774632 118137760 122133596 122856280 127078276 128561680 129262016 130512824 132036320 134495296 136596785 137381920 140288590 145968290 150318272 152666995 156404032 158847845 159713164 161577520 163141030 166179284 168119120 170670616 172662880 178596496 179653280 185729788 187897840 189758777 195505040 196570048 199641455 200788960 207724105 212083339 213338270 218554856 223245620 224461744 232162235 233549264 236275520 244267192 245712560 254156552 257123360 261025648 264072640 273193570 274763840 277339751 280577180 291936580 305333990 317695690 319426328 323155040 326282060 332358568 336238240 341341232 345325760 357192992 359306560 371459576 375795680 379517554 391010080 399282910 401577920 413004397 415448210 424166678 426676540 437109712 446491240 448923488 464324470 467098528 488534384 491425120 508313104 514246720 519067783 522051296 540082673 546387140 554679502 561154360 583873160 603621811 610667980 635391380 638852656 646310080 652564120 664717136 672476480 682682464 714385984 742919152 751591360 759035108 782020160 789351599 798565820 826008794 830896420 848333356 853353080 874219424 892982480 897846976 928648940 934197056 948793885 977068768 982850240 1016626208 1038135566 1044102592 1060416695 1080165346 1092774280 1109359004 1122308720 1167746320 1207243622 1221335960 1270782760 1277705312 1305128240 1329434272 1365364928 1386698755 1485838304 1518070216 1578703198 1597131640 1652017588 1661792840 1696666712 1706706160 1748438848 1785964960 1857297880 1897587770 1954137536 2033252416 2065021985 2076271132 2120833390 2160330692 2185548560 2218718008 2244617440 2335492640 2414487244 2442671920 2541565520 2555410624 2595338915 2610256480 2658868544 2700413365 2773397510 2971676608 3018109055 3036140432 3157406396 3194263280 3304035176 3323585680 3393333424 3413412320 3571929920 3605416763 3714595760 3795175540 3946757995 4130043970 4152542264 4241666780 4320661384 4371097120 4437436016 4489234880 4670985280 4828974488 4885343840 5083131040 5190677830 5220512960 5400826730 5546795020 6036218110 6072280864 6314812792 6388526560 6608070352 6647171360 6786666848 6826824640 7021074749 7210833526 7429191520 7590351080 7847083543 7893515990 8260087940 8305084528 8483333560 8641322768 8742194240 8874872032 9657948976 9770687680 10166262080 10261570787 10381355660 10801653460 11093590040 12072436220 12144561728 12629625584 12777053120 13216140704 13294342720 13573333696 14042149498 14421667052 14858383040 15180702160 15694167086 15787031980 16520175880 16610169056 16966667120 17282645536 17749744064 18027083815 19315897952 20523141574 20762711320 21603306920 22187180080 24144872440 25259251168 26432281408 28084298996 28843334104 30361404320 31388334172 31574063960 33040351760 33220338112 33933334240 34565291072 35105373745 36054167630 38631795904 39235417715 41046283148 41525422640 43206613840 44374360160 48289744880 50518502336 51307853935 56168597992 57686668208 60722808640 62776668344 63148127920 66080703520 67866668480 70210747490 72108335260 78470835430 82092566296 83050845280 86413227680 88748720320 96579489760 102615707870 112337195984 115373336416 125553336688 126296255840 132161407040 133400420231 140421494980 144216670520 156941670860 164185132592 166101690560 172826455360 193158979520 205231415740 224674391968 230746672832 251106673376 252592511680 266800840462 280842989960 288433341040 313883341720 328370265184 410462831480 449348783936 502213346752 533601680924 561685979920 576866682080 627766683440 656740530368 667002101155 820925662960 1067203361848 1123371959840 1153733364160 1255533366880 1334004202310 1641851325920 2134406723696 2246743919680 2511066733760 2668008404620 3283702651840 4268813447392 5336016809240 8537626894784 10672033618480 21344067236960 42688134473920
- Sum of all divisors σ(n): 126488644212960
- Sum of proper divisors (its aliquot sum) s(n): 83800509739040
- 42688134473920 is an abundant number, because the sum of its proper divisors (83800509739040) is greater than itself. Its abundance is 41112375265120
Bases of 42688134473920
- Binary: 10011011010011000110110001011101101000110000002
- Hexadecimal: 0x26D31B1768C0
- Base-36: F4QNP39OG
Squares and roots of 42688134473920
- 42688134473920 squared (426881344739202) is 1822276824863477155160166400
- 42688134473920 cubed (426881344739203) is 77789598148480077344715068119003660288000
-
The
square root of 42688134473920 is 6533615.7274452557 -
The
cube root of 42688134473920 is 34949.0781871303
Scales and comparisons
How big is 42688134473920?- 42,688,134,473,920 seconds is equal to 1,357,350 years, 32 weeks, 6 days, 11 hours, 38 minutes, 40 seconds.
-
To count from 1 to 42,688,134,473,920 would take you about three million, three hundred ninety-three thousand, three hundred seventy-six 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 42688134473920 cubic inches would be around 2912.4 feet tall.
Recreational maths with 42688134473920
- 42688134473920 backwards is 02937443188624
- The number of decimal digits it has is: 14
- The sum of 42688134473920's digits is 61
- 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 42688134473920 - Facts about the integer". Numbermatics.com. 2024. Web. 12 June 2024.
APA style:
Numbermatics. (2024). Number 42688134473920 - Facts about the integer. Retrieved 12 June 2024, from https://numbermatics.com/n/42688134473920/
Chicago style:
Numbermatics. 2024. "Number 42688134473920 - Facts about the integer". https://numbermatics.com/n/42688134473920/
The information we have on file for 42688134473920 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 42688134473920, math, Factors of 42688134473920, curriculum, school, college, exams, university, Prime factorization of 42688134473920, STEM, science, technology, engineering, physics, economics, calculator, forty-two trillion, six hundred eighty-eight billion, one hundred thirty-four million, four hundred seventy-three thousand, nine hundred twenty.