10142132822037440
10,142,132,822,037,440 is an even composite number composed of six prime numbers multiplied together.
What does the number 10142132822037440 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 336 divisors.
10142132822037440 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred thirty-six divisors.
Prime factorization of 10142132822037440:
26 × 5 × 72 × 19 × 73 × 466344409
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 7 × 19 × 73 × 466344409)See below for interesting mathematical facts about the number 10142132822037440 from the Numbermatics database.
Names of 10142132822037440
- Cardinal: 10142132822037440 can be written as Ten quadrillion, one hundred forty-two trillion, one hundred thirty-two billion, eight hundred twenty-two million, thirty-seven thousand, four hundred forty.
Scientific notation
- Scientific notation: 1.014213282203744 × 1016
Factors of 10142132822037440
Divisors of 10142132822037440
- Number of divisors d(n): 336
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 19 20 28 32 35 38 40 49 56 64 70 73 76 80 95 98 112 133 140 146 152 160 190 196 224 245 266 280 292 304 320 365 380 392 448 490 511 532 560 584 608 665 730 760 784 931 980 1022 1064 1120 1168 1216 1330 1387 1460 1520 1568 1862 1960 2044 2128 2240 2336 2555 2660 2774 2920 3040 3136 3577 3724 3920 4088 4256 4655 4672 5110 5320 5548 5840 6080 6935 7154 7448 7840 8176 8512 9310 9709 10220 10640 11096 11680 13870 14308 14896 15680 16352 17885 18620 19418 20440 21280 22192 23360 27740 28616 29792 32704 35770 37240 38836 40880 42560 44384 48545 55480 57232 59584 67963 71540 74480 77672 81760 88768 97090 110960 114464 135926 143080 148960 155344 163520 194180 221920 228928 271852 286160 297920 310688 339815 388360 443840 543704 572320 621376 679630 776720 1087408 1144640 1359260 1553440 2174816 2718520 3106880 4349632 5437040 10874080 21748160 466344409 932688818 1865377636 2331722045 3264410863 3730755272 4663444090 6528821726 7461510544 8860543771 9326888180 13057643452 14923021088 16322054315 17721087542 18653776360 22850876041 26115286904 29846042176 32644108630 34043141857 35442175084 37307552720 44302718855 45701752082 52230573808 62023806397 65288217260 68086283714 70884350168 74615105440 88605437710 91403504164 104461147616 114254380205 124047612794 130576434520 136172567428 141768700336 149230210880 170215709285 177210875420 182807008328 208922295232 228508760410 238301992999 248095225588 261152869040 272345134856 283537400672 310119031985 340431418570 354421750840 365614016656 434166644779 457017520820 476603985998 496190451176 522305738080 544690269712 567074801344 620238063970 646819695283 680862837140 708843501680 731228033312 868333289558 914035041640 953207971996 992380902352 1044611476160 1089380539424 1191509964995 1240476127940 1293639390566 1361725674280 1417687003360 1462456066624 1668113950993 1736666579116 1828070083280 1906415943992 1984761804704 2170833223895 2178761078848 2383019929990 2480952255880 2587278781132 2723451348560 2835374006720 3234098476415 3336227901986 3473333158232 3656140166560 3812831887984 3969523609408 4341666447790 4527737866981 4766039859980 4961904511760 5174557562264 5446902697120 6468196952830 6672455803972 6946666316464 7312280333120 7625663775968 8340569754965 8683332895580 9055475733962 9532079719960 9923809023520 10349115124528 10893805394240 12936393905660 13344911607944 13893332632928 15251327551936 16681139509930 17366665791160 18110951467924 19064159439920 19847618047040 20698230249056 22638689334905 25872787811320 26689823215888 27786665265856 31694165068867 33362279019860 34733331582320 36221902935848 38128318879840 41396460498112 45277378669810 51745575622640 53379646431776 63388330137734 66724558039720 69466663164640 72443805871696 76256637759680 90554757339620 103491151245280 106759292863552 126776660275468 133449116079440 138933326329280 144887611743392 158470825344335 181109514679240 206982302490560 253553320550936 266898232158880 289775223486784 316941650688670 362219029358480 507106641101872 533796464317760 633883301377340 724438058716960 1014213282203744 1267766602754680 1448876117433920 2028426564407488 2535533205509360 5071066411018720 10142132822037440
- Sum of all divisors σ(n): 29977700593831200
- Sum of proper divisors (its aliquot sum) s(n): 19835567771793760
- 10142132822037440 is an abundant number, because the sum of its proper divisors (19835567771793760) is greater than itself. Its abundance is 9693434949756320
Bases of 10142132822037440
- Binary: 1001000000100000110111010100000001111101010011110000002
- Hexadecimal: 0x240837501F53C0
- Base-36: 2RV33HW4QM8
Squares and roots of 10142132822037440
- 10142132822037440 squared (101421328220374402) is 102862858179849126589712761753600
- 10142132822037440 cubed (101421328220374403) is 1043248770114430191203812279832971682459254784000
-
The
square root of 10142132822037440 is 100708156.6807646421 -
The
cube root of 10142132822037440 is 216459.3905135357
Scales and comparisons
How big is 10142132822037440?- 10,142,132,822,037,440 seconds is equal to 322,488,452 years, 3 weeks, 2 days, 8 hours, 37 minutes, 20 seconds.
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To count from 1 to 10,142,132,822,037,440 would take you about nine hundred sixty-seven million, four hundred sixty-five thousand, three hundred fifty-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 10142132822037440 cubic inches would be around 18038.3 feet tall.
Recreational maths with 10142132822037440
- 10142132822037440 backwards is 04473022823124101
- The number of decimal digits it has is: 17
- The sum of 10142132822037440's digits is 44
- More coming soon!
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