42406055112960
42,406,055,112,960 is an even composite number composed of eight prime numbers multiplied together.
What does the number 42406055112960 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1728 divisors.
42406055112960 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 42406055112960:
28 × 32 × 5 × 7 × 11 × 61 × 281 × 2789
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 11 × 61 × 281 × 2789)See below for interesting mathematical facts about the number 42406055112960 from the Numbermatics database.
Names of 42406055112960
- Cardinal: 42406055112960 can be written as Forty-two trillion, four hundred six billion, fifty-five million, one hundred twelve thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 4.240605511296 × 1013
Factors of 42406055112960
Divisors of 42406055112960
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 18 20 21 22 24 28 30 32 33 35 36 40 42 44 45 48 55 56 60 61 63 64 66 70 72 77 80 84 88 90 96 99 105 110 112 120 122 126 128 132 140 144 154 160 165 168 176 180 183 192 198 210 220 224 231 240 244 252 256 264 280 281 288 305 308 315 320 330 336 352 360 366 384 385 396 420 427 440 448 462 480 488 495 504 528 549 560 562 576 610 616 630 640 660 671 672 693 704 720 732 768 770 792 840 843 854 880 896 915 924 960 976 990 1008 1056 1098 1120 1124 1152 1155 1220 1232 1260 1280 1281 1320 1342 1344 1386 1405 1408 1440 1464 1540 1584 1680 1686 1708 1760 1792 1830 1848 1920 1952 1967 1980 2013 2016 2112 2135 2196 2240 2248 2304 2310 2440 2464 2520 2529 2562 2640 2684 2688 2745 2772 2789 2810 2816 2880 2928 3080 3091 3168 3355 3360 3372 3416 3465 3520 3660 3696 3840 3843 3904 3934 3960 4026 4032 4215 4224 4270 4392 4480 4496 4620 4697 4880 4928 5040 5058 5124 5280 5368 5376 5490 5544 5578 5620 5760 5856 5901 6039 6160 6182 6336 6405 6710 6720 6744 6832 6930 7040 7320 7392 7686 7808 7868 7920 8052 8064 8367 8430 8448 8540 8784 8960 8992 9240 9273 9394 9760 9835 9856 10065 10080 10116 10248 10560 10736 10980 11088 11156 11240 11520 11712 11802 12078 12320 12364 12645 12672 12810 13420 13440 13488 13664 13860 13945 14080 14091 14640 14784 15372 15455 15616 15736 15840 16104 16128 16734 16860 17080 17141 17568 17703 17984 18480 18546 18788 19215 19520 19523 19670 19712 20130 20160 20232 20496 21120 21472 21637 21960 22176 22312 22480 23424 23485 23604 24156 24640 24728 25101 25290 25344 25620 26840 26880 26976 27328 27720 27819 27890 28182 29280 29505 29568 30195 30679 30744 30910 31472 31680 32208 33468 33720 34160 34282 35136 35406 35968 36960 37092 37576 38430 39040 39046 39340 40260 40320 40464 40992 41835 42240 42273 42944 43274 43920 44352 44624 44960 46365 46848 46970 47208 48312 49280 49456 50202 50580 51240 51423 53680 53952 54656 55440 55638 55780 56364 58560 58569 59010 59136 60390 61358 61488 61820 62944 63360 64416 64911 66936 67440 68320 68564 70272 70455 70812 71936 73920 74184 75152 76860 78080 78092 78680 80520 80640 80928 81984 83670 84546 85705 85888 86548 87840 88515 88704 89248 89920 92037 92730 93940 94416 96624 97615 98560 98912 100404 101160 102480 102846 107360 107904 108185 109312 110880 111276 111560 112728 117120 117138 118020 119987 120780 122716 122976 123640 125505 125888 126720 128832 129822 133872 134880 136640 137128 139095 140544 140910 141624 147840 148368 150304 153395 153720 154269 156184 157360 161040 161856 163968 167340 169092 170129 171410 171776 173096 175680 175707 177030 177408 178496 179840 184074 185460 187880 188551 188832 193248 194733 195230 197824 200808 202320 204960 205692 211365 214720 214753 215808 216370 221760 222552 223120 225456 234240 234276 236040 239974 241560 245432 245952 247280 251010 251776 257115 257664 259644 267744 269760 273280 274256 276111 278190 281820 283248 292845 295680 296736 300608 306790 307440 308538 312368 314720 322080 323712 324555 327936 334680 338184 340258 342820 346192 351360 351414 354060 356992 359680 359961 368148 370920 375760 377102 377664 386496 389466 390460 395648 401616 404640 409920 411384 422730 429440 429506 432740 443520 445104 446240 450912 460185 468552 472080 479948 483120 490864 491904 494560 502020 503552 510387 514230 515328 519288 535488 539520 546560 548512 552222 556380 563640 565653 566496 585690 593472 599935 601216 613580 614880 617076 624736 629440 644160 644259 647424 649110 669360 676368 680516 685640 692384 702720 702828 708120 713984 719922 736296 741840 751520 754204 755328 771345 772992 778932 780920 783709 791296 803232 809280 819840 822768 845460 850645 858880 859012 865480 878535 887040 890208 892480 901824 920370 937104 942755 944160 959896 966240 973665 981728 983808 989120 1004040 1020774 1028460 1038576 1070976 1073765 1079040 1079883 1097024 1104444 1112760 1127280 1131306 1132992 1171380 1186944 1190903 1199870 1202432 1227160 1229760 1234152 1249472 1258880 1288320 1288518 1298220 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69518123136 73621623460 75455614080 75725098416 77242359040 80314498320 84138998240 85668798208 86897653920 88345948152 91787998080 94656373020 96377397984 99311604480 100966797888 107085997760 110145597696 110432435190 115863538560 117794597536 120471747480 126208497360 128503197312 132518922228 134622397184 137681997120 139036246272 147243246920 150911228160 151450196832 160628996640 165648652785 168277996480 173795307840 176691896304 183575996160 189312746040 192754795968 201933595776 214171995520 220864870380 231727077120 235589195072 240943494960 252416994720 257006394624 265037844456 275363994240 294486493840 302900393664 321257993280 331297305570 336555992960 347590615680 353383792608 378625492080 385509591936 403867191552 428343991040 441729740760 471178390144 481886989920 504833989440 530075688912 550727988480 588972987680 605800787328 642515986560 662594611140 673111985920 695181231360 706767585216 757250984160 771019183872 883459481520 942356780288 963773979840 1009667978880 1060151377824 1177945975360 1211601574656 1285031973120 1325189222280 1413535170432 1514501968320 1766918963040 1927547959680 2019335957760 2120302755648 2355891950720 2650378444560 2827070340864 3029003936640 3533837926080 3855095919360 4240605511296 4711783901440 5300756889120 6058007873280 7067675852160 8481211022592 10601513778240 14135351704320 21203027556480 42406055112960
- Sum of all divisors σ(n): 186651608532480
- Sum of proper divisors (its aliquot sum) s(n): 144245553419520
- 42406055112960 is an abundant number, because the sum of its proper divisors (144245553419520) is greater than itself. Its abundance is 101839498306560
Bases of 42406055112960
- Binary: 10011010010001011011011101100111110001000000002
- Hexadecimal: 0x26916DD9F100
- Base-36: F152MBLS0
Squares and roots of 42406055112960
- 42406055112960 squared (424060551129602) is 1798273510243400958359961600
- 42406055112960 cubed (424060551129603) is 76257685583557700144359813663829262336000
-
The
square root of 42406055112960 is 6511993.1751315587 -
The
cube root of 42406055112960 is 34871.9278787739
Scales and comparisons
How big is 42406055112960?- 42,406,055,112,960 seconds is equal to 1,348,381 years, 19 weeks, 6 days, 1 hour, 36 minutes.
-
To count from 1 to 42,406,055,112,960 would take you about three million, three hundred seventy thousand, nine hundred fifty-three 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 42406055112960 cubic inches would be around 2906 feet tall.
Recreational maths with 42406055112960
- 42406055112960 backwards is 06921155060424
- 42406055112960 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42406055112960's digits is 45
- More coming soon!
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"Number 42406055112960 - Facts about the integer". Numbermatics.com. 2024. Web. 15 June 2024.
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Numbermatics. (2024). Number 42406055112960 - Facts about the integer. Retrieved 15 June 2024, from https://numbermatics.com/n/42406055112960/
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The information we have on file for 42406055112960 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!
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