138638210688

Names of 138638210688

• Cardinal: 138638210688 can be written as One hundred thirty-eight billion, six hundred thirty-eight million, two hundred ten thousand, six hundred eighty-eight.

Scientific notation

• Scientific notation: 1.38638210688 × 10¹¹

Factors of 138638210688

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 172

Divisors of 138638210688

• Number of divisors d(n): 672
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 53 54 64 68 72 81 96 97 102 106 108 128 136 144 153 159 162 192 194 204 212 216 243 272 288 289 291 306 318 324 384 388 408 424 432 459 477 486 544 576 578 582 612 636 648 729 776 816 848 864 867 873 901 918 954 972 1088 1152 1156 1164 1224 1272 1296 1377 1431 1458 1552 1632 1649 1696 1728 1734 1746 1802 1836 1908 1944 2176 2312 2328 2448 2544 2592 2601 2619 2703 2754 2862 2916 3104 3264 3298 3392 3456 3468 3492 3604 3672 3816 3888 4131 4293 4624 4656 4896 4947 5088 5141 5184 5202 5238 5406 5508 5724 5832 6208 6528 6596 6784 6936 6984 7208 7344 7632 7776 7803 7857 8109 8262 8586 9248 9312 9792 9894 10176 10282 10368 10404 10476 10812 11016 11448 11664 12393 12416 12879 13192 13872 13968 14416 14688 14841 15264 15317 15423 15552 15606 15714 16218 16524 17172 18496 18624 19584 19788 20352 20564 20808 20952 21624 22032 22896 23328 23409 23571 24327 24786 25758 26384 27744 27936 28033 28832 29376 29682 30528 30634 30846 31104 31212 31428 32436 33048 34344 36992 37248 38637 39576 41128 41616 41904 43248 44064 44523 45792 45951 46269 46656 46818 47142 48654 49572 51516 52768 55488 55872 56066 57664 58752 59364 61056 61268 61692 62424 62856 64872 66096 68688 70227 70713 72981 77274 79152 82256 83232 83808 84099 86496 87397 88128 89046 91584 91902 92538 93312 93636 94284 97308 99144 103032 105536 110976 111744 112132 115328 118728 122536 123384 124848 125712 129744 132192 133569 137376 137853 138807 140454 141426 145962 154548 158304 164512 166464 167616 168198 172992 174794 176256 178092 183168 183804 185076 187272 188568 194616 198288 206064 210681 211072 218943 224264 237456 245072 246768 249696 251424 252297 259488 262191 264384 267138 274752 275706 277614 280908 282852 291924 309096 316608 329024 332928 335232 336396 345984 349588 356184 367608 370152 374544 377136 389232 396576 400707 412128 413559 416421 421362 437886 448528 474912 490144 493536 499392 502848 504594 518976 524382 528768 534276 549504 551412 555228 561816 565704 583848 618192 633216 656829 658048 672792 699176 712368 735216 740304 749088 754272 756891 778464 786573 793152 801414 824256 827118 832842 842724 875772 897056 949824 980288 987072 998784 1005696 1009188 1037952 1048764 1068552 1102824 1110456 1123632 1131408 1167696 1202121 1236384 1240677 1249263 1313658 1345584 1398352 1424736 1470432 1480608 1485749 1498176 1508544 1513782 1556928 1573146 1586304 1602828 1648512 1654236 1665684 1685448 1751544 1794112 1899648 1960576 1974144 2018376 2097528 2137104 2205648 2220912 2247264 2262816 2270673 2335392 2359719 2404242 2472768 2481354 2498526 2627316 2691168 2796704 2849472 2940864 2961216 2971498 2996352 3017088 3027564 3113856 3146292 3205656 3308472 3331368 3370896 3503088 3588224 3722031 3747789 4036752 4195056 4274208 4411296 4441824 4457247 4494528 4525632 4541346 4670784 4719438 4808484 4945536 4962708 4997052 5254632 5382336 5593408 5698944 5881728 5922432 5942996 6055128 6292584 6411312 6616944 6662736 6741792 6812019 7006176 7079157 7444062 7495578 8073504 8390112 8548416 8822592 8883648 8914494 8989056 9051264 9082692 9341568 9438876 9616968 9925416 9994104 10509264 10764672 11166093 11186816 11885992 12110256 12585168 12822624 13233888 13325472 13371741 13483584 13624038 14012352 14158314 14888124 14991156 16147008 16780224 17096832 17645184 17767296 17828988 18165384 18877752 19233936 19850832 19988208 20436057 21018528 21237471 22332186 23771984 24220512 25170336 25645248 26467776 26650944 26743482 26967168 27248076 28024704 28316628 29776248 29982312 32294016 33560448 35657976 36330768 37755504 38467872 39701664 39976416 40115223 40872114 42037056 42474942 44664372 47543968 48441024 50340672 51290496 52935552 53301888 53486964 54496152 56633256 59552496 59964624 63712413 71315952 72661536 75511008 76935744 79403328 79952832 80230446 81744228 84074112 84949884 89328744 95087936 96882048 100681344 106973928 108992304 113266512 119104992 119929248 120345669 127424826 142631904 145323072 151022016 153871488 158806656 159905664 160460892 163488456 169899768 178657488 190175872 213947856 217984608 226533024 238209984 239858496 240691338 254849652 285263808 290646144 302044032 320921784 326976912 339799536 357314976 361037007 427895712 435969216 453066048 476419968 479716992 481382676 509699304 570527616 641843568 653953824 679599072 714629952 722074014 855791424 871938432 906132096 962765352 1019398608 1083111021 1283687136 1307907648 1359198144 1429259904 1444148028 1711582848 1925530704 2038797216 2166222042 2567374272 2615815296 2718396288 2888296056 3851061408 4077594432 4332444084 5134748544 5776592112 7702122816 8155188864 8664888168 11553184224 15404245632 17329776336 23106368448 34659552672 46212736896 69319105344 138638210688
• Sum of all divisors σ(n): 452812652460
• Sum of proper divisors (its aliquot sum) s(n): 314174441772
• 138638210688 is an abundant number, because the sum of its proper divisors (314174441772) is greater than itself. Its abundance is 175536231084

Bases of 138638210688

• Binary: 10000001000111011110110011011010000000₂
• Hexadecimal: 0x20477B3680
• Base-36: 1ROTM000

Squares and roots of 138638210688

• 138638210688 squared (138638210688²) is 19220553462770277433344
• 138638210688 cubed (138638210688³) is 2664703140511513686948157348380672
• The square root of 138638210688 is 372341.5242596507
• The cube root of 138638210688 is 5175.6033050889

Scales and comparisons

• 138,638,210,688 seconds is equal to 4,408 years, 13 weeks, 5 days, 22 hours, 4 minutes, 48 seconds.
• To count from 1 to 138,638,210,688 would take you about eight thousand, eight hundred sixteen 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 138638210688 cubic inches would be around 431.3 feet tall.

Recreational maths with 138638210688

• 138638210688 backwards is 886012836831
• 138638210688 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 138638210688's digits is 54
• More coming soon!