138433893312

Names of 138433893312

• Cardinal: 138433893312 can be written as One hundred thirty-eight billion, four hundred thirty-three million, eight hundred ninety-three thousand, three hundred twelve.

Scientific notation

• Scientific notation: 1.38433893312 × 10¹¹

Factors of 138433893312

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 222

Divisors of 138433893312

• Number of divisors d(n): 672
• Complete list of divisors:
  1 2 3 4 6 8 11 12 13 16 22 24 26 29 32 33 37 39 44 48 52 58 64 66 74 78 87 88 96 104 111 116 127 132 143 148 156 174 176 192 208 222 232 254 264 286 296 312 319 348 352 377 381 407 416 429 444 464 481 508 528 572 592 624 638 696 704 754 762 814 832 858 888 928 957 962 1016 1056 1073 1131 1144 1184 1221 1248 1276 1369 1392 1397 1443 1508 1524 1628 1651 1716 1776 1856 1914 1924 2032 2112 2146 2262 2288 2368 2442 2496 2552 2738 2784 2794 2886 3016 3048 3219 3256 3302 3432 3552 3683 3828 3848 4064 4107 4147 4191 4292 4524 4576 4699 4884 4953 5104 5291 5476 5568 5588 5772 6032 6096 6438 6512 6604 6864 7104 7366 7656 7696 8128 8214 8294 8382 8584 9048 9152 9398 9768 9906 10208 10582 10952 11049 11176 11544 11803 12064 12192 12441 12876 13024 13208 13728 13949 14097 14732 15059 15312 15392 15873 16428 16588 16764 17168 17797 18096 18161 18796 19536 19812 20416 21164 21904 22098 22352 23088 23606 24128 24384 24882 25752 26048 26416 27456 27898 28194 29464 30118 30624 30784 31746 32856 33176 33528 34336 35409 35594 36192 36322 37592 39072 39624 39701 40513 41847 42328 43808 44196 44704 45177 46176 47212 47879 49764 51504 51689 52832 53391 54483 55796 56388 58928 60236 61087 61248 63492 65712 66352 67056 68672 70818 71188 72384 72644 75184 78144 79248 79402 81026 83694 84656 87616 88392 89408 90354 92352 94424 95758 99528 103008 103378 105664 106782 108966 111592 112776 117856 119103 120472 121539 122174 126984 131424 132704 134112 136271 141636 142376 143637 145288 150368 153439 155067 158496 158804 162052 167388 169312 173863 176784 180708 183261 188848 191516 195767 199056 206016 206756 213564 217932 223184 225552 235712 238206 240944 243078 244348 253968 262848 265408 268224 272542 283272 284752 287274 290576 300736 306878 310134 316992 317608 324104 334776 338624 347726 353568 361416 366522 377696 383032 391534 398112 408813 413512 427128 435864 436711 446368 451104 460317 476412 481888 486156 488696 507936 516113 521589 526669 545084 566544 569504 574548 581152 587301 613756 620268 635216 648208 669552 671957 695452 707136 722832 733044 755392 766064 783068 796224 817626 827024 854256 871728 873422 892736 902208 920634 952824 963776 972312 977392 1015872 1032226 1043178 1053338 1090168 1133088 1139008 1149096 1162304 1174602 1227512 1240536 1270432 1296416 1310133 1339104 1343914 1390904 1445664 1466088 1498981 1532128 1548339 1566136 1580007 1635252 1654048 1708512 1743456 1746844 1771523 1841268 1905648 1912493 1944624 1954784 2015871 2064452 2086356 2106676 2180336 2260219 2266176 2298192 2349204 2455024 2481072 2540864 2592832 2620266 2678208 2687828 2781808 2891328 2932176 2997962 3064256 3096678 3132272 3160014 3270504 3308096 3417024 3486912 3493688 3543046 3682536 3811296 3824986 3889248 3909568 4031742 4128904 4172712 4213352 4360672 4496943 4520438 4596384 4698408 4910048 4962144 5042027 5240532 5314569 5375656 5563616 5677243 5737479 5864352 5995924 6193356 6264544 6320028 6541008 6780657 6987376 7086092 7365072 7622592 7649972 7778496 8063484 8257808 8345424 8426704 8721344 8993886 9040876 9192768 9396816 9820096 9924288 10084054 10481064 10629138 10751312 11127232 11354486 11474958 11728704 11991848 12386712 12529088 12640056 13082016 13561314 13974752 14172184 14730144 15126081 15299944 16126968 16515616 16690848 16853408 17031729 17987772 18081752 18793632 19486753 20168108 20962128 21258276 21502624 22708972 22949916 23983696 24773424 24862409 25280112 26164032 27122628 27949504 28344368 29460288 30252162 30599888 32253936 33031232 33381696 33706816 34063458 35975544 36163504 37587264 38973506 40336216 41924256 42516552 43005248 45417944 45899832 47967392 49546848 49724818 50560224 54245256 55462297 56688736 58460259 60504324 61199776 64507872 65546351 68126916 71951088 72327008 74587227 77947012 80672432 83848512 85033104 90835888 91799664 95934784 99093696 99449636 101120448 108490512 110924594 113377472 116920518 121008648 122399552 129015744 131092702 136253832 143902176 144654016 149174454 155894024 161344864 166386891 170066208 181671776 183599328 196639053 198899272 216981024 221849188 233841036 242017296 262185404 272507664 287804352 298348908 311788048 322689728 332773782 340132416 363343552 367198656 393278106 397798544 433962048 443698376 467682072 484034592 524370808 545015328 596697816 623576096 665547564 721009861 786556212 795597088 887396752 935364144 968069184 1048741616 1090030656 1193395632 1247152192 1331095128 1442019722 1573112424 1591194176 1774793504 1870728288 2097483232 2163029583 2386791264 2662190256 2884039444 3146224848 3549587008 3741456576 4194966464 4326059166 4773582528 5324380512 5768078888 6292449696 8652118332 10648761024 11536157776 12584899392 17304236664 23072315552 34608473328 46144631104 69216946656 138433893312
• Sum of all divisors σ(n): 461103390720
• Sum of proper divisors (its aliquot sum) s(n): 322669497408
• 138433893312 is an abundant number, because the sum of its proper divisors (322669497408) is greater than itself. Its abundance is 184235604096

Bases of 138433893312

• Binary: 10000000111011010011011001001111000000₂
• Hexadecimal: 0x203B4D93C0
• Base-36: 1RLFYRPC

Squares and roots of 138433893312

• 138433893312 squared (138433893312²) is 19163942817518198329344
• 138433893312 cubed (138433893312³) is 2652939215437582952142863934947328
• The square root of 138433893312 is 372067.0548597391
• The cube root of 138433893312 is 5173.0595484885

Scales and comparisons

• 138,433,893,312 seconds is equal to 4,401 years, 40 weeks, 3 hours, 15 minutes, 12 seconds.
• To count from 1 to 138,433,893,312 would take you about eight thousand, eight hundred 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 138433893312 cubic inches would be around 431.1 feet tall.

Recreational maths with 138433893312

• 138433893312 backwards is 213398334831
• 138433893312 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 138433893312's digits is 48
• More coming soon!