1148372637321728
1,148,372,637,321,728 is an even composite number composed of five prime numbers multiplied together.
What does the number 1148372637321728 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 320 divisors.
1148372637321728 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred twenty divisors.
Prime factorization of 1148372637321728:
29 × 73 × 13 × 631 × 797161
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 7 × 13 × 631 × 797161)See below for interesting mathematical facts about the number 1148372637321728 from the Numbermatics database.
Names of 1148372637321728
- Cardinal: 1148372637321728 can be written as One quadrillion, one hundred forty-eight trillion, three hundred seventy-two billion, six hundred thirty-seven million, three hundred twenty-one thousand, seven hundred twenty-eight.
Scientific notation
- Scientific notation: 1.148372637321728 × 1015
Factors of 1148372637321728
Divisors of 1148372637321728
- Number of divisors d(n): 320
-
Complete list of divisors:
1 2 4 7 8 13 14 16 26 28 32 49 52 56 64 91 98 104 112 128 182 196 208 224 256 343 364 392 416 448 512 631 637 686 728 784 832 896 1262 1274 1372 1456 1568 1664 1792 2524 2548 2744 2912 3136 3328 3584 4417 4459 5048 5096 5488 5824 6272 6656 8203 8834 8918 10096 10192 10976 11648 12544 16406 17668 17836 20192 20384 21952 23296 25088 30919 32812 35336 35672 40384 40768 43904 46592 57421 61838 65624 70672 71344 80768 81536 87808 114842 123676 131248 141344 142688 161536 163072 175616 216433 229684 247352 262496 282688 285376 323072 326144 401947 432866 459368 494704 524992 565376 570752 797161 803894 865732 918736 989408 1049984 1130752 1141504 1594322 1607788 1731464 1837472 1978816 2099968 2261504 2283008 2813629 3188644 3215576 3462928 3674944 3957632 4199936 5580127 5627258 6377288 6431152 6925856 7349888 7915264 10363093 11160254 11254516 12754576 12862304 13851712 14699776 15830528 20726186 22320508 22509032 25509152 25724608 27703424 29399552 39060889 41452372 44641016 45018064 51018304 51449216 55406848 72541651 78121778 82904744 89282032 90036128 102036608 102898432 110813696 145083302 156243556 165809488 178564064 180072256 204073216 205796864 273426223 290166604 312487112 331618976 357128128 360144512 408146432 503008591 507791557 546852446 580333208 624974224 663237952 714256256 720289024 1006017182 1015583114 1093704892 1160666416 1249948448 1326475904 1428512512 1440578048 2012034364 2031166228 2187409784 2321332832 2499896896 2652951808 2857025024 3521060137 3554540899 4024068728 4062332456 4374819568 4642665664 4999793792 5305903616 6539111683 7042120274 7109081798 8048137456 8124664912 8749639136 9285331328 9999587584 13078223366 14084240548 14218163596 16096274912 16249329824 17499278272 18570662656 19999175168 24647420959 26156446732 28168481096 28436327192 32192549824 32498659648 34998556544 37141325312 45773781781 49294841918 52312893464 56336962192 56872654384 64385099648 64997319296 69997113088 91547563562 98589683836 104625786928 112673924384 113745308768 128770199296 129994638592 139994226176 172531946713 183095127124 197179367672 209251573856 225347848768 227490617536 257540398592 259989277184 320416472467 345063893426 366190254248 394358735344 418503147712 450695697536 454981235072 640832944934 690127786852 732380508496 788717470688 837006295424 901391395072 909962470144 1281665889868 1380255573704 1464761016992 1577434941376 1674012590848 1802782790144 1819924940288 2242915307269 2563331779736 2760511147408 2929522033984 3154869882752 3348025181696 4485830614538 5126663559472 5521022294816 5859044067968 6309739765504 8971661229076 10253327118944 11042044589632 11718088135936 12619479531008 17943322458152 20506654237888 22084089179264 23436176271872 35886644916304 41013308475776 44168178358528 71773289832608 82026616951552 88336356717056 143546579665216 164053233903104 287093159330432 574186318660864 1148372637321728
- Sum of all divisors σ(n): 2886206012659200
- Sum of proper divisors (its aliquot sum) s(n): 1737833375337472
- 1148372637321728 is an abundant number, because the sum of its proper divisors (1737833375337472) is greater than itself. Its abundance is 589460738015744
Bases of 1148372637321728
- Binary: 1000001010001110000010101110001111000001010000000002
- Hexadecimal: 0x41470571E0A00
- Base-36: BB2B3U5PFK
Squares and roots of 1148372637321728
- 1148372637321728 squared (11483726373217282) is 1318759714149261032616980905984
- 1148372637321728 cubed (11483726373217283) is 1514427570931235028941518827485291192728420352
-
The
square root of 1148372637321728 is 33887647.2674295877 -
The
cube root of 1148372637321728 is 104719.5125419845
Scales and comparisons
How big is 1148372637321728?- 1,148,372,637,321,728 seconds is equal to 36,514,697 years, 37 weeks, 2 days, 2 minutes, 8 seconds.
-
To count from 1 to 1,148,372,637,321,728 would take you about one hundred nine million, five hundred forty-four thousand and ninety-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 1148372637321728 cubic inches would be around 8726.6 feet tall.
Recreational maths with 1148372637321728
- 1148372637321728 backwards is 8271237362738411
- The number of decimal digits it has is: 16
- The sum of 1148372637321728's digits is 65
- More coming soon!
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