138942329344

Names of 138942329344

• Cardinal: 138942329344 can be written as One hundred thirty-eight billion, nine hundred forty-two million, three hundred twenty-nine thousand, three hundred forty-four.

Scientific notation

• Scientific notation: 1.38942329344 × 10¹¹

Factors of 138942329344

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 216

Divisors of 138942329344

• Number of divisors d(n): 640
• Complete list of divisors:
  1 2 4 7 8 13 14 16 19 26 28 31 32 38 52 56 61 62 64 76 83 91 104 112 122 124 128 133 152 166 182 208 217 224 244 247 248 256 266 304 332 364 403 416 427 434 448 488 494 496 512 532 581 589 608 664 728 793 806 832 854 868 896 976 988 992 1064 1079 1159 1162 1178 1216 1328 1456 1577 1586 1612 1664 1708 1729 1736 1792 1891 1952 1976 1984 2128 2158 2318 2324 2356 2432 2573 2656 2821 2912 3154 3172 3224 3328 3416 3458 3472 3584 3782 3904 3952 3968 4123 4256 4316 4636 4648 4712 4864 5063 5146 5312 5551 5642 5824 6308 6344 6448 6656 6832 6916 6944 7553 7564 7657 7808 7904 7936 8113 8246 8512 8632 9272 9296 9424 9728 10126 10292 10624 11039 11102 11284 11648 12616 12688 12896 13237 13664 13832 13888 15067 15106 15128 15314 15616 15808 15872 16226 16492 17024 17264 18011 18544 18592 18848 20252 20501 20584 21248 22078 22204 22568 23296 24583 25232 25376 25792 26474 27328 27664 27776 30134 30212 30256 30628 31232 31616 32452 32984 33449 34048 34528 35441 35929 36022 37088 37184 37696 40504 41002 41168 42496 44156 44408 45136 46592 48887 49166 50464 50752 51584 52948 53599 54656 55328 55552 60268 60424 60512 61256 63232 64904 65819 65968 66898 68096 69056 70882 71858 72044 74176 74368 75392 81008 82004 82336 88312 88816 90272 96197 97774 98332 100928 101504 103168 105469 105896 107198 109312 110656 111104 120536 120848 121024 122512 126464 129808 131638 131936 133796 138112 141764 143507 143716 144088 148352 148736 150784 156953 162016 164008 164672 172081 176624 177632 180544 192394 195548 196664 201856 203008 206336 210938 211792 214396 218624 221312 234143 241072 241696 242048 245024 251503 259616 263276 263872 267592 276224 283528 287014 287432 288176 296704 297472 301568 313906 324032 328016 329344 342209 344162 353248 355264 361088 384788 391096 393328 403712 406016 421876 423584 428792 442624 460733 467077 468286 482144 483392 484096 490048 503006 519232 526552 527744 535184 552448 567056 574028 574864 576352 593408 627812 635531 648064 656032 658688 673379 684418 688324 706496 710528 722176 769576 782192 786656 807424 843752 847168 857584 885248 921466 934154 936572 964288 966784 968192 980096 1006012 1038464 1053104 1055488 1070368 1098671 1134112 1148056 1149728 1152704 1250561 1255624 1271062 1296128 1312064 1317376 1346758 1368836 1376648 1412992 1421056 1444352 1539152 1564384 1573312 1687504 1694336 1715168 1842932 1868308 1873144 1928576 1933568 1960192 2012024 2040389 2076928 2106208 2110976 2140736 2197342 2268224 2296112 2299456 2305408 2501122 2511248 2542124 2592256 2624128 2693516 2737672 2753296 2825984 2842112 2982107 3078304 3128768 3146624 3269539 3375008 3388672 3430336 3685864 3736616 3746288 3857152 3867136 3920384 4024048 4080778 4153856 4212416 4281472 4394684 4448717 4536448 4592224 4598912 4610816 5002244 5022496 5084248 5248256 5387032 5475344 5506592 5651968 5964214 6156608 6257536 6293248 6539078 6750016 6777344 6860672 7371728 7473232 7492576 7714304 8048096 8161556 8424832 8562944 8753927 8789368 8897434 9072896 9184448 9197824 9221632 10004488 10044992 10168496 10496512 10774064 10950688 11013184 11928428 12313216 12515072 12586496 13078156 13500032 13721344 14282723 14743456 14946464 14985152 16096192 16323112 16849664 17125888 17507854 17578736 17794868 18145792 18368896 18395648 20008976 20089984 20336992 20874749 21548128 21901376 22026368 23856856 24626432 25030144 26156312 27000064 27442688 28565446 29486912 29892928 29970304 32192384 32646224 33699328 35015708 35157472 35589736 36737792 38767391 40017952 40179968 40673984 41749498 43096256 43802752 44052736 47713712 49252864 52312624 54000128 57130892 58973824 59785856 59940608 64384768 65292448 70031416 70314944 71179472 73475584 77534782 80035904 80359936 81347968 83498996 86192512 87605504 88105472 95427424 104625248 114261784 117947648 119571712 119881216 128769536 130584896 140062832 140629888 142358944 155069564 160071808 162695936 166997992 172385024 175211008 190854848 209250496 228523568 235895296 239143424 261169792 271371737 280125664 281259776 284717888 310139128 320143616 325391872 333995984 344770048 381709696 418500992 457047136 522339584 542743474 560251328 562519552 569435776 620278256 640287232 667991968 763419392 837001984 914094272 1044679168 1085486948 1120502656 1138871552 1240556512 1335983936 1526838784 1674003968 1828188544 2170973896 2241005312 2277743104 2481113024 2671967872 3656377088 4341947792 4482010624 4962226048 5343935744 7312754176 8683895584 9924452096 10687871488 17367791168 19848904192 34735582336 69471164672 138942329344
• Sum of all divisors σ(n): 381895557120
• Sum of proper divisors (its aliquot sum) s(n): 242953227776
• 138942329344 is an abundant number, because the sum of its proper divisors (242953227776) is greater than itself. Its abundance is 104010898432

Bases of 138942329344

• Binary: 10000001011001100110111011001000000000₂
• Hexadecimal: 0x20599BB200
• Base-36: 1RTUOBGG

Squares and roots of 138942329344

• 138942329344 squared (138942329344²) is 19304970883536563470336
• 138942329344 cubed (138942329344³) is 2682277622476667869161384086339584
• The square root of 138942329344 is 372749.6872486951
• The cube root of 138942329344 is 5179.3849657623

Scales and comparisons

• 138,942,329,344 seconds is equal to 4,417 years, 48 weeks, 4 days, 19 hours, 29 minutes, 4 seconds.
• To count from 1 to 138,942,329,344 would take you about eight thousand, eight hundred thirty-five 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 138942329344 cubic inches would be around 431.6 feet tall.

Recreational maths with 138942329344

• 138942329344 backwards is 443923249831
• 138942329344 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 138942329344's digits is 52
• More coming soon!