138429138432

Names of 138429138432

• Cardinal: 138429138432 can be written as One hundred thirty-eight billion, four hundred twenty-nine million, one hundred thirty-eight thousand, four hundred thirty-two.

Scientific notation

• Scientific notation: 1.38429138432 × 10¹¹

Factors of 138429138432

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 181

Divisors of 138429138432

• Number of divisors d(n): 640
• Complete list of divisors:
  1 2 3 4 6 8 12 13 16 17 19 24 26 32 34 38 39 48 51 52 57 64 68 76 78 96 102 104 114 127 128 136 152 156 169 192 204 208 221 228 247 254 256 272 304 312 323 338 381 384 408 416 442 456 494 507 508 512 544 608 624 646 663 676 741 762 768 816 832 884 912 969 988 1014 1016 1088 1216 1248 1292 1326 1352 1482 1524 1536 1632 1651 1664 1768 1824 1938 1976 2028 2032 2159 2176 2197 2413 2432 2496 2584 2652 2704 2873 2964 3048 3211 3264 3302 3328 3536 3648 3876 3952 4056 4064 4199 4318 4352 4394 4826 4864 4953 4992 5168 5304 5408 5746 5928 6096 6422 6477 6528 6591 6604 6656 7072 7239 7296 7752 7904 8112 8128 8398 8619 8636 8704 8788 9633 9652 9728 9906 9984 10336 10608 10816 11492 11856 12192 12597 12844 12954 13056 13182 13208 14144 14478 14592 15504 15808 16224 16256 16796 17238 17272 17576 19266 19304 19812 19968 20672 21216 21463 21632 22984 23712 24384 25194 25688 25908 26112 26364 26416 28067 28288 28956 29184 31008 31369 31616 32448 32512 33592 34476 34544 35152 37349 38532 38608 39624 41021 41344 41743 42432 42926 43264 45968 47424 48768 50388 51376 51816 52728 52832 54587 56134 56576 57912 62016 62738 63232 64389 64896 65024 67184 68952 69088 70304 74698 77064 77216 79248 82042 82688 83486 84201 84864 85852 86528 91936 94107 94848 97536 100776 102752 103632 105456 105664 109174 112047 112268 113152 115824 123063 124032 125229 125476 126464 128778 129792 134368 137904 138176 140608 149396 154128 154432 158496 163761 164084 165376 166972 168402 169728 171704 183872 188214 189696 195072 201552 205504 207264 210912 211328 218348 224094 224536 231648 246126 248064 250458 250952 257556 259584 268736 275808 276352 279019 281216 298792 308256 308864 316992 327522 328168 333944 336804 339456 343408 364871 367744 376428 379392 403104 407797 411008 414528 421824 422656 436696 448188 449072 463296 492252 496128 500916 501904 515112 533273 537472 551616 552704 558038 562432 597584 616512 617728 633984 655044 656336 667888 673608 686816 709631 729742 735488 752856 806208 815594 822016 829056 837057 843648 845312 873392 896376 898144 926592 984504 1001832 1003808 1030224 1066546 1074944 1094613 1103232 1105408 1116076 1124864 1195168 1223391 1233024 1235456 1267968 1310088 1312672 1335776 1347216 1373632 1419262 1459484 1470976 1505712 1599819 1612416 1631188 1644032 1658112 1674114 1687296 1746784 1792752 1796288 1853184 1969008 2003664 2007616 2060448 2128893 2133092 2149888 2189226 2206464 2232152 2390336 2446782 2466048 2535936 2620176 2625344 2671552 2694432 2747264 2838524 2918968 3011424 3199638 3224832 3262376 3316224 3348228 3374592 3493568 3585504 3592576 3706368 3938016 4007328 4015232 4120896 4257786 4266184 4378452 4412928 4464304 4743323 4780672 4893564 4932096 5240352 5250688 5301361 5343104 5388864 5494528 5677048 5837936 6022848 6399276 6449664 6524752 6696456 6932549 6987136 7171008 7185152 7876032 8014656 8030464 8241792 8515572 8532368 8756904 8928608 9486646 9561344 9787128 10480704 10501376 10602722 10686208 10777728 10989056 11354096 11675872 12045696 12798552 13049504 13392912 13865098 13974272 14229969 14342016 14370304 15752064 15904083 16029312 16060928 16483584 17031144 17064736 17513808 17857216 18973292 19122688 19574256 20797647 20961408 21002752 21205444 21372416 21555456 22708192 23351744 24091392 25597104 26099008 26785824 27730196 27948544 28459938 28684032 31504128 31808166 32058624 32967168 34062288 34129472 35027616 35714432 37946584 39148512 41595294 41922816 42410888 43110912 45416384 46703488 48182784 51194208 52198016 53571648 55460392 56919876 57368064 63008256 63616332 64117248 68124576 68258944 70055232 71428864 75893168 78297024 83190588 83845632 84821776 90123137 90832768 93406976 102388416 104396032 107143296 110920784 113839752 127232664 136249152 136517888 140110464 142857728 151786336 156594048 166381176 169643552 180246274 181665536 186813952 204776832 208792064 214286592 221841568 227679504 254465328 270369411 272498304 273035776 280220928 303572672 313188096 332762352 339287104 360492548 363331072 409553664 428573184 443683136 455359008 508930656 540738822 544996608 560441856 607145344 626376192 665524704 678574208 720985096 819107328 887366272 910718016 1017861312 1081477644 1089993216 1214290688 1331049408 1357148416 1441970192 1774732544 1821436032 2035722624 2162955288 2428581376 2662098816 2714296832 2883940384 3549465088 3642872064 4071445248 4325910576 5324197632 5767880768 7285744128 8142890496 8651821152 10648395264 11535761536 17303642304 23071523072 34607284608 46143046144 69214569216 138429138432
• Sum of all divisors σ(n): 448771276800
• Sum of proper divisors (its aliquot sum) s(n): 310342138368
• 138429138432 is an abundant number, because the sum of its proper divisors (310342138368) is greater than itself. Its abundance is 171912999936

Bases of 138429138432

• Binary: 10000000111011000001010000011000000000₂
• Hexadecimal: 0x203B050600
• Base-36: 1RLD4UTC

Squares and roots of 138429138432

• 138429138432 squared (138429138432²) is 19162626367025819418624
• 138429138432 cubed (138429138432³) is 2652665858081710396418935454957568
• The square root of 138429138432 is 372060.6649889235
• The cube root of 138429138432 is 5173.0003203171

Scales and comparisons

• 138,429,138,432 seconds is equal to 4,401 years, 32 weeks, 1 day, 2 hours, 27 minutes, 12 seconds.
• To count from 1 to 138,429,138,432 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 138429138432 cubic inches would be around 431.1 feet tall.

Recreational maths with 138429138432

• 138429138432 backwards is 234831924831
• 138429138432 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 138429138432's digits is 48
• More coming soon!