137973743712
137,973,743,712 is an even composite number composed of five prime numbers multiplied together.
What does the number 137973743712 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 432 divisors.
137973743712 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 137973743712:
25 × 35 × 72 × 257 × 1409
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 7 × 7 × 257 × 1409)See below for interesting mathematical facts about the number 137973743712 from the Numbermatics database.
Names of 137973743712
- Cardinal: 137973743712 can be written as One hundred thirty-seven billion, nine hundred seventy-three million, seven hundred forty-three thousand, seven hundred twelve.
Scientific notation
- Scientific notation: 1.37973743712 × 1011
Factors of 137973743712
Divisors of 137973743712
- Number of divisors d(n): 432
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 72 81 84 96 98 108 112 126 144 147 162 168 189 196 216 224 243 252 257 288 294 324 336 378 392 432 441 486 504 514 567 588 648 672 756 771 784 864 882 972 1008 1028 1134 1176 1296 1323 1409 1512 1542 1568 1701 1764 1799 1944 2016 2056 2268 2313 2352 2592 2646 2818 3024 3084 3402 3528 3598 3888 3969 4112 4227 4536 4626 4704 5292 5397 5636 6048 6168 6804 6939 7056 7196 7776 7938 8224 8454 9072 9252 9863 10584 10794 11272 11907 12336 12593 12681 13608 13878 14112 14392 15876 16191 16908 18144 18504 19726 20817 21168 21588 22544 23814 24672 25186 25362 27216 27756 28784 29589 31752 32382 33816 37008 37779 38043 39452 41634 42336 43176 45088 47628 48573 50372 50724 54432 55512 57568 59178 62451 63504 64764 67632 69041 74016 75558 76086 78904 83268 86352 88767 95256 97146 100744 101448 111024 113337 114129 118356 124902 127008 129528 135264 138082 145719 151116 152172 157808 166536 172704 177534 190512 194292 201488 202896 207123 222048 226674 228258 236712 249804 259056 266301 276164 291438 302232 304344 315616 333072 340011 342387 355068 362113 381024 388584 402976 405792 414246 437157 453348 456516 473424 499608 518112 532602 552328 582876 604464 608688 621369 666144 680022 684774 710136 724226 777168 798903 828492 874314 906696 913032 946848 999216 1020033 1065204 1086339 1104656 1165752 1208928 1217376 1242738 1360044 1369548 1420272 1448452 1554336 1597806 1656984 1748628 1813392 1826064 1864107 1998432 2040066 2130408 2172678 2209312 2331504 2396709 2485476 2534791 2720088 2739096 2840544 2896904 3060099 3195612 3259017 3313968 3497256 3626784 3652128 3728214 4080132 4260816 4345356 4663008 4793418 4970952 5069582 5440176 5478192 5592321 5793808 6120198 6391224 6518034 6627936 6994512 7456428 7604373 8160264 8521632 8690712 9586836 9777051 9941904 10139164 10880352 10956384 11184642 11587616 12240396 12782448 13036068 13989024 14912856 15208746 16320528 16776963 17381424 17743537 19173672 19554102 19883808 20278328 22369284 22813119 24480792 25564896 26072136 29331153 29825712 30417492 32641056 33553926 34762848 35487074 38347344 39108204 40556656 44738568 45626238 48961584 52144272 53230611 58662306 59651424 60834984 67107852 68439357 70974148 76694688 78216408 81113312 87993459 89477136 91252476 97923168 104288544 106461222 117324612 121669968 134215704 136878714 141948296 156432816 159691833 175986918 178954272 182504952 205318071 212922444 234649224 243339936 268431408 273757428 283896592 312865632 319383666 351973836 365009904 410636142 425844888 469298448 479075499 536862816 547514856 567793184 615954213 638767332 703947672 730019808 821272284 851689776 938596896 958150998 1095029712 1231908426 1277534664 1407895344 1437226497 1642544568 1703379552 1916301996 2190059424 2463816852 2555069328 2815790688 2874452994 3285089136 3832603992 4311679491 4927633704 5110138656 5748905988 6570178272 7665207984 8623358982 9855267408 11497811976 15330415968 17246717964 19710534816 22995623952 34493435928 45991247904 68986871856 137973743712
- Sum of all divisors σ(n): 475505568720
- Sum of proper divisors (its aliquot sum) s(n): 337531825008
- 137973743712 is an abundant number, because the sum of its proper divisors (337531825008) is greater than itself. Its abundance is 199558081296
Bases of 137973743712
- Binary: 100000000111111110000001000000011000002
- Hexadecimal: 0x201FE04060
- Base-36: 1RDU0600
Squares and roots of 137973743712
- 137973743712 squared (1379737437122) is 19036753953904659538944
- 137973743712 cubed (1379737437123) is 2626572211144444156908875539120128
-
The
square root of 137973743712 is 371448.1709633257 -
The
cube root of 137973743712 is 5167.3214941677
Scales and comparisons
How big is 137973743712?- 137,973,743,712 seconds is equal to 4,387 years, 7 weeks, 1 day, 7 hours, 55 minutes, 12 seconds.
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To count from 1 to 137,973,743,712 would take you about eight thousand, seven hundred seventy-four 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 137973743712 cubic inches would be around 430.6 feet tall.
Recreational maths with 137973743712
- 137973743712 backwards is 217347379731
- 137973743712 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 137973743712's digits is 54
- More coming soon!
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