138007314432

Names of 138007314432

• Cardinal: 138007314432 can be written as One hundred thirty-eight billion, seven million, three hundred fourteen thousand, four hundred thirty-two.

Scientific notation

• Scientific notation: 1.38007314432 × 10¹¹

Factors of 138007314432

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 22
• Sum of prime factors: 89

Divisors of 138007314432

• Number of divisors d(n): 512
• Complete list of divisors:
  1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 71 72 78 96 104 108 117 128 142 144 156 169 192 208 213 216 234 256 284 288 312 338 351 384 416 426 432 468 507 512 568 576 624 639 676 702 768 832 852 864 923 936 1014 1024 1136 1152 1248 1278 1352 1404 1521 1536 1664 1704 1728 1846 1872 1917 2028 2048 2197 2272 2304 2496 2556 2704 2769 2808 3042 3072 3328 3408 3456 3692 3744 3834 4056 4096 4394 4544 4563 4608 4992 5112 5408 5538 5616 6084 6144 6591 6656 6816 6912 7384 7488 7668 8112 8192 8307 8788 9088 9126 9216 9984 10224 10816 11076 11232 11999 12168 12288 13182 13312 13632 13824 14768 14976 15336 16224 16384 16614 17576 18176 18252 18432 19773 19968 20448 21632 22152 22464 23998 24336 24576 24921 26364 26624 27264 27648 29536 29952 30672 32448 32768 33228 35152 35997 36352 36504 36864 39546 39936 40896 43264 44304 44928 47996 48672 49152 49842 52728 53248 54528 55296 59072 59319 59904 61344 64896 66456 70304 71994 72704 73008 73728 79092 79872 81792 86528 88608 89856 95992 97344 98304 99684 105456 106496 107991 109056 110592 118144 118638 119808 122688 129792 132912 140608 143988 145408 146016 147456 155987 158184 159744 163584 173056 177216 179712 191984 194688 199368 210912 212992 215982 218112 221184 236288 237276 239616 245376 259584 265824 281216 287976 290816 292032 294912 311974 316368 319488 323973 327168 346112 354432 359424 383968 389376 398736 421824 425984 431964 436224 442368 467961 472576 474552 479232 490752 519168 531648 562432 575952 581632 584064 623948 632736 638976 647946 654336 692224 708864 718848 767936 778752 797472 843648 863928 872448 884736 935922 945152 949104 958464 981504 1038336 1063296 1124864 1151904 1163264 1168128 1247896 1265472 1277952 1295892 1308672 1384448 1403883 1417728 1437696 1535872 1557504 1594944 1687296 1727856 1744896 1871844 1890304 1898208 1916928 1963008 2076672 2126592 2249728 2303808 2326528 2336256 2495792 2530944 2591784 2617344 2768896 2807766 2835456 2875392 3071744 3115008 3189888 3374592 3455712 3489792 3743688 3780608 3796416 3833856 3926016 4153344 4211649 4253184 4499456 4607616 4672512 4991584 5061888 5183568 5234688 5537792 5615532 5670912 5750784 6143488 6230016 6379776 6749184 6911424 6979584 7487376 7561216 7592832 7852032 8306688 8423298 8506368 8998912 9215232 9345024 9983168 10123776 10367136 10469376 11231064 11341824 11501568 12286976 12460032 12759552 13498368 13822848 14974752 15122432 15185664 15704064 16613376 16846596 17012736 17997824 18430464 18690048 19966336 20247552 20734272 20938752 22462128 22683648 24573952 24920064 25519104 26996736 27645696 29949504 30244864 30371328 31408128 33693192 34025472 35995648 36860928 37380096 39932672 40495104 41468544 44924256 45367296 49147904 49840128 51038208 53993472 55291392 59899008 60742656 62816256 67386384 68050944 71991296 73721856 74760192 79865344 80990208 82937088 89848512 90734592 98295808 102076416 107986944 110582784 119798016 121485312 134772768 136101888 147443712 149520384 159730688 161980416 165874176 179697024 196591616 204152832 215973888 221165568 239596032 242970624 269545536 272203776 294887424 319461376 323960832 331748352 359394048 393183232 408305664 442331136 479192064 485941248 539091072 589774848 638922752 647921664 663496704 718788096 816611328 884662272 958384128 971882496 1078182144 1179549696 1277845504 1326993408 1437576192 1769324544 1916768256 1943764992 2156364288 2555691008 2653986816 2875152384 3538649088 3833536512 4312728576 5111382016 5307973632 5750304768 7667073024 8625457152 10615947264 11500609536 15334146048 17250914304 23001219072 34501828608 46002438144 69003657216 138007314432
• Sum of all divisors σ(n): 449203104000
• Sum of proper divisors (its aliquot sum) s(n): 311195789568
• 138007314432 is an abundant number, because the sum of its proper divisors (311195789568) is greater than itself. Its abundance is 173188475136

Bases of 138007314432

• Binary: 10000000100001111000001000000000000000₂
• Hexadecimal: 0x2021E08000
• Base-36: 1REDZPC0

Squares and roots of 138007314432

• 138007314432 squared (138007314432²) is 19046018836732915482624
• 138007314432 cubed (138007314432³) is 2628489910278794338614571400429568
• The square root of 138007314432 is 371493.3571842169
• The cube root of 138007314432 is 5167.7405512797

Scales and comparisons

• 138,007,314,432 seconds is equal to 4,388 years, 10 weeks, 4 days, 21 hours, 7 minutes, 12 seconds.
• To count from 1 to 138,007,314,432 would take you about eight thousand, seven hundred seventy-six 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 138007314432 cubic inches would be around 430.6 feet tall.

Recreational maths with 138007314432

• 138007314432 backwards is 234413700831
• 138007314432 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 138007314432's digits is 36
• More coming soon!