138145984616704

Names of 138145984616704

• Cardinal: 138145984616704 can be written as One hundred thirty-eight trillion, one hundred forty-five billion, nine hundred eighty-four million, six hundred sixteen thousand, seven hundred four.

Scientific notation

• Scientific notation: 1.38145984616704 × 10¹⁴

Factors of 138145984616704

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 85

Divisors of 138145984616704

• Number of divisors d(n): 405
• Complete list of divisors:
  1 2 4 8 16 19 23 32 38 41 46 64 76 82 92 128 152 164 184 256 304 328 361 368 437 529 608 656 722 736 779 874 943 1058 1216 1312 1444 1472 1558 1681 1748 1886 2116 2432 2624 2888 2944 3116 3362 3496 3772 4232 4864 5248 5776 5888 6232 6724 6992 7544 8303 8464 10051 10496 11552 12464 13448 13984 14801 15088 16606 16928 17917 20102 21689 23104 24928 26896 27968 29602 30176 31939 33212 33856 35834 38663 40204 43378 46208 49856 53792 55936 59204 60352 63878 66424 67712 68921 71668 77326 80408 86756 92416 99712 107584 111872 118408 120704 127756 132848 135424 137842 143336 154652 160816 173512 190969 199424 215168 236816 241408 255512 265696 275684 286672 309304 321632 340423 347024 381938 412091 430336 473632 511024 531392 551368 573344 606841 618608 643264 680846 694048 734597 763876 824182 889249 947264 1022048 1062784 1102736 1146688 1213682 1237216 1286528 1309499 1361692 1388096 1469194 1527752 1585183 1648364 1778498 1894528 2044096 2125568 2205472 2293376 2427364 2474432 2573056 2618998 2723384 2776192 2825761 2938388 3055504 3170366 3296728 3556996 3789056 4088192 4410944 4586752 4854728 4948864 5237996 5446768 5552384 5651522 5876776 6111008 6340732 6593456 7113992 7829729 8176384 8821888 9709456 9897728 10475992 10893536 11303044 11753552 12222016 12681464 13186912 13957343 14227984 15659458 16895731 17643776 19418912 20951984 21787072 22606088 23507104 24444032 24880481 25362928 26373824 27914686 28455968 30118477 31318916 33791462 36459209 38837824 41903968 43574144 45212176 47014208 48888064 49760962 50725856 52747648 53689459 55829372 56911936 60236954 62637832 64992503 67582924 72918418 77675648 83807936 87148288 90424352 94028416 99521924 101451712 105495296 107378918 111658744 113823872 120473908 125275664 129985006 135165848 145836836 155351296 167615872 180848704 188056832 199043848 202903424 214757836 223317488 227647744 240947816 250551328 259970012 270331696 291673672 321018889 335231744 361697408 398087696 405806848 429515672 446634976 481895632 501102656 519940024 540663392 572251063 583347344 642037778 692724971 723394816 796175392 859031344 893269952 963791264 1002205312 1020099721 1039880048 1081326784 1144502126 1166694688 1234857557 1284075556 1385449942 1494827569 1592350784 1718062688 1786539904 1927582528 2004410624 2040199442 2079760096 2162653568 2289004252 2333389376 2469715114 2568151112 2770899884 2989655138 3184701568 3436125376 3573079808 3855165056 4080398884 4159520192 4325307136 4578008504 4666778752 4939430228 5136302224 5541799768 5979310276 6369403136 6872250752 7710330112 8160797768 8319040384 9156017008 9333557504 9878860456 10272604448 11083599536 11958620552 13161774449 13744501504 16321595536 16638080768 18312034016 19757720912 20545208896 22167199072 23462293583 23917241104 26323548898 28401723811 32643191072 36624068032 39515441824 41090417792 44334398144 46924587166 47834482208 52647097796 56803447622 65286382144 73248136064 79030883648 82180835584 88668796288 93849174332 95668964416 105294195592 113606895244 130572764288 146496272128 158061767296 177337592576 187698348664 191337928832 210588391184 227213790488 261145528576 316123534592 375396697328 382675857664 421176782368 454427580976 539632752409 750793394656 842353564736 908855161952 1079265504818 1501586789312 1684707129472 1817710323904 2158531009636 3003173578624 3369414258944 3635420647808 4317062019272 6006347157248 7270841295616 8634124038544 17268248077088 34536496154176 69072992308352 138145984616704
• Sum of all divisors σ(n): 311838904177815
• Sum of proper divisors (its aliquot sum) s(n): 173692919561111
• 138145984616704 is an abundant number, because the sum of its proper divisors (173692919561111) is greater than itself. Its abundance is 35546934944407

Bases of 138145984616704

• Binary: 11111011010010010011110010101110001100100000000₂
• Hexadecimal: 0x7DA49E571900
• Base-36: 1CYVE0F0N4

Squares and roots of 138145984616704

• 138145984616704 squared (138145984616704²) is 19084313065718618213795823616
• 138145984616704 cubed (138145984616704³) is 2636421219197127385146081155443497751281664
• 138145984616704 is a perfect square number. Its square root is 11753552
• The cube root of 138145984616704 is 51694.7082588085

Scales and comparisons

• 138,145,984,616,704 seconds is equal to 4,392,614 years, 51 weeks, 5 days, 23 hours, 45 minutes, 4 seconds.
• To count from 1 to 138,145,984,616,704 would take you about ten million, nine hundred eighty-one thousand, five hundred thirty-seven 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 138145984616704 cubic inches would be around 4307.9 feet tall.

Recreational maths with 138145984616704

• 138145984616704 backwards is 407616489541831
• The number of decimal digits it has is: 15
• The sum of 138145984616704's digits is 67
• More coming soon!