138888123085440

Names of 138888123085440

• Cardinal: 138888123085440 can be written as One hundred thirty-eight trillion, eight hundred eighty-eight billion, one hundred twenty-three million, eighty-five thousand, four hundred forty.

Scientific notation

• Scientific notation: 1.3888812308544 × 10¹⁴

Factors of 138888123085440

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 22
• Sum of prime factors: 117

Divisors of 138888123085440

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 107 108 120 128 135 144 160 162 180 192 214 216 240 243 270 288 320 321 324 360 384 405 428 432 480 486 535 540 576 640 642 648 720 729 810 856 864 960 963 972 1070 1080 1152 1215 1284 1296 1440 1458 1605 1620 1712 1728 1920 1926 1944 2140 2160 2187 2430 2568 2592 2880 2889 2916 3210 3240 3424 3456 3645 3852 3888 4280 4320 4374 4815 4860 5136 5184 5760 5778 5832 6420 6480 6561 6848 7290 7704 7776 8560 8640 8667 8748 9630 9720 10272 10368 10935 11449 11556 11664 12840 12960 13122 13696 14445 14580 15408 15552 17120 17280 17334 17496 19260 19440 19683 20544 21870 22898 23112 23328 25680 25920 26001 26244 28890 29160 30816 31104 32805 34240 34347 34668 34992 38520 38880 39366 41088 43335 43740 45796 46224 46656 51360 51840 52002 52488 57245 57780 58320 59049 61632 65610 68480 68694 69336 69984 77040 77760 78003 78732 86670 87480 91592 92448 93312 98415 102720 103041 104004 104976 114490 115560 116640 118098 123264 130005 131220 137388 138672 139968 154080 155520 156006 157464 171735 173340 174960 177147 183184 184896 196830 205440 206082 208008 209952 228980 231120 233280 234009 236196 260010 262440 274776 277344 279936 295245 308160 309123 312012 314928 343470 346680 349920 354294 366368 369792 390015 393660 412164 416016 419904 457960 462240 466560 468018 472392 515205 520020 524880 549552 554688 590490 616320 618246 624024 629856 686940 693360 699840 702027 708588 732736 780030 787320 824328 832032 839808 885735 915920 924480 927369 936036 944784 1030410 1040040 1049760 1099104 1109376 1170045 1180980 1225043 1236492 1248048 1259712 1373880 1386720 1399680 1404054 1417176 1465472 1545615 1560060 1574640 1648656 1664064 1771470 1831840 1848960 1854738 1872072 1889568 2060820 2080080 2099520 2106081 2198208 2340090 2361960 2450086 2472984 2496096 2519424 2747760 2773440 2782107 2808108 2834352 3091230 3120120 3149280 3297312 3328128 3510135 3542940 3663680 3675129 3709476 3744144 3779136 4121640 4160160 4199040 4212162 4396416 4636845 4680180 4723920 4900172 4945968 4992192 5495520 5546880 5564214 5616216 5668704 6125215 6182460 6240240 6298560 6318243 6594624 7020270 7085880 7327360 7350258 7418952 7488288 7558272 8243280 8320320 8346321 8424324 9273690 9360360 9447840 9800344 9891936 9984384 10530405 10991040 11025387 11128428 11232432 11337408 12250430 12364920 12480480 12597120 12636486 13189248 13910535 14040540 14171760 14700516 14837904 14976576 16486560 16640640 16692642 16848648 18375645 18547380 18720720 18895680 18954729 19600688 19783872 21060810 21982080 22050774 22256856 22464864 22674816 24500860 24729840 24960960 25038963 25272972 27821070 28081080 28343520 29401032 29675808 29953152 31591215 32973120 33076161 33385284 33697296 36751290 37094760 37441440 37791360 37909458 39201376 39567744 41731605 42121620 44101548 44513712 44929728 49001720 49459680 49921920 50077926 50545944 55126935 55642140 56162160 56687040 58802064 59351616 63182430 65946240 66152322 66770568 67394592 73502580 74189520 74882880 75116889 75818916 78402752 83463210 84243240 88203096 89027424 89859456 94773645 98003440 98919360 99228483 100155852 101091888 110253870 111284280 112324320 113374080 117604128 118703232 125194815 126364860 132304644 133541136 134789184 147005160 148379040 149765760 150233778 151637832 156805504 165380805 166926420 168486480 176406192 178054848 189547290 196006880 197838720 198456966 200311704 202183776 220507740 222568560 224648640 225350667 235208256 250389630 252729720 264609288 267082272 269578368 294010320 296758080 297685449 300467556 303275664 330761610 333852840 336972960 352812384 356109696 375584445 379094580 392013760 396913932 400623408 404367552 441015480 445137120 449297280 450701334 470416512 496142415 500779260 505459440 529218576 534164544 588020640 593516160 595370898 600935112 606551328 661523220 667705680 673945920 676052001 705624768 751168890 758189160 784027520 793827864 801246816 808735104 882030960 890274240 893056347 901402668 992284830 1001558520 1010918880 1058437152 1068329088 1126753335 1176041280 1190741796 1201870224 1213102656 1323046440 1335411360 1347891840 1352104002 1411249536 1488427245 1502337780 1516378320 1587655728 1602493632 1764061920 1780548480 1786112694 1802805336 1984569660 2003117040 2021837760 2028156003 2116874304 2253506670 2352082560 2381483592 2403740448 2426205312 2646092880 2670822720 2679169041 2704208004 2976854490 3004675560 3032756640 3175311456 3204987264 3380260005 3528123840 3572225388 3605610672 3969139320 4006234080 4043675520 4056312006 4233748608 4465281735 4507013340 4762967184 4807480896 5292185760 5341645440 5358338082 5408416008 5953708980 6009351120 6065513280 6350622912 6760520010 7056247680 7144450776 7211221344 7938278640 8012468160 8037507123 8112624012 8930563470 9014026680 9525934368 9614961792 10140780015 10584371520 10716676164 10816832016 11907417960 12018702240 12131026560 12701245824 13395845205 13521040020 14288901552 14422442688 15876557280 16024936320 16075014246 16225248024 17861126940 18028053360 19051868736 20281560030 21168743040 21433352328 21633664032 23814835920 24037404480 24112521369 26791690410 27042080040 28577803104 28844885376 31753114560 32150028492 32450496048 35722253880 36056106720 38103737472 40187535615 40563120060 42866704656 43267328064 47629671840 48074808960 48225042738 53583380820 54084160080 57155606208 63506229120 64300056984 64900992096 71444507760 72112213440 72337564107 80375071230 81126240120 85733409312 86534656128 95259343680 96450085476 107166761640 108168320160 114311212416 120562606845 128600113968 129801984192 142889015520 144224426880 144675128214 160750142460 162252480240 171466818624 190518687360 192900170952 214333523280 216336640320 217012692321 241125213690 257200227936 259603968384 285778031040 289350256428 321500284920 324504960480 342933637248 361687820535 385800341904 428667046560 432673280640 434025384642 482250427380 514400455872 571556062080 578700512856 643000569840 649009920960 723375641070 771600683808 857334093120 868050769284 964500854760 1028800911744 1085063461605 1157401025712 1286001139680 1298019841920 1446751282140 1543201367616 1714668186240 1736101538568 1929001709520 2170126923210 2314802051424 2572002279360 2893502564280 3086402735232 3472203077136 3858003419040 4340253846420 4629604102848 5144004558720 5787005128560 6944406154272 7716006838080 8680507692840 9259208205696 11574010257120 13888812308544 15432013676160 17361015385680 23148020514240 27777624617088 34722030771360 46296041028480 69444061542720 138888123085440
• Sum of all divisors σ(n): 502741708560000
• Sum of proper divisors (its aliquot sum) s(n): 363853585474560
• 138888123085440 is an abundant number, because the sum of its proper divisors (363853585474560) is greater than itself. Its abundance is 224965462389120

Bases of 138888123085440

• Binary: 11111100101000101101001001111010111001010000000₂
• Hexadecimal: 0x7E51693D7280
• Base-36: 1D8CBMI000

Squares and roots of 138888123085440

• 138888123085440 squared (138888123085440²) is 19289910734196331465539993600
• 138888123085440 cubed (138888123085440³) is 2679139496358210363864423452951749853184000
• The square root of 138888123085440 is 11785080.5294422999
• The cube root of 138888123085440 is 51787.1132512145

Scales and comparisons

• 138,888,123,085,440 seconds is equal to 4,416,212 years, 36 weeks, 4 days, 14 hours, 24 minutes.
• To count from 1 to 138,888,123,085,440 would take you about eleven million, forty thousand, five hundred thirty-one 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 138888123085440 cubic inches would be around 4315.6 feet tall.

Recreational maths with 138888123085440

• 138888123085440 backwards is 044580321888831
• The number of decimal digits it has is: 15
• The sum of 138888123085440's digits is 63
• More coming soon!