138127521227904

Names of 138127521227904

• Cardinal: 138127521227904 can be written as One hundred thirty-eight trillion, one hundred twenty-seven billion, five hundred twenty-one million, two hundred twenty-seven thousand, nine hundred four.

Scientific notation

• Scientific notation: 1.38127521227904 × 10¹⁴

Factors of 138127521227904

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 6503

Divisors of 138127521227904

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 3 4 6 8 9 12 13 16 18 24 26 27 29 32 36 39 48 52 54 58 64 72 78 87 96 104 108 116 117 128 144 156 169 174 192 208 216 232 234 261 288 312 338 348 351 377 384 416 432 464 468 507 522 576 624 676 696 702 754 783 832 864 928 936 1014 1044 1131 1152 1248 1352 1392 1404 1508 1521 1566 1664 1723 1728 1856 1872 2028 2088 2262 2496 2704 2784 2808 3016 3042 3132 3393 3446 3456 3712 3744 4056 4176 4524 4563 4733 4901 4992 5169 5408 5568 5616 6032 6084 6264 6786 6892 7488 8112 8352 9048 9126 9466 9802 10179 10338 10816 11136 11232 12064 12168 12528 13572 13784 14199 14703 14976 15507 16224 16704 18096 18252 18932 19604 20358 20676 21632 22399 22464 24128 24336 25056 27144 27568 28398 29406 31014 32448 33408 36192 36504 37864 39208 40716 41352 42597 44109 44798 44928 46521 48256 48672 49967 50112 54288 55136 56796 58812 61529 62028 64896 67197 72384 73008 75728 78416 81432 82704 85194 88218 89596 93042 97344 99934 100224 108576 110272 113592 117624 123058 124056 127791 132327 134394 137257 144768 146016 149901 151456 156832 162864 165408 170388 176436 179192 184587 186084 194688 199868 201591 217152 220544 227184 235248 246116 248112 255582 264654 268788 274514 291187 292032 299802 302912 313664 325728 330816 340776 352872 358384 369174 372168 399736 403182 411771 434304 449703 454368 470496 492232 496224 511164 529308 537576 549028 553761 582374 584064 599604 604773 605824 627328 649571 651456 661632 681552 705744 716768 738348 744336 799472 799877 806364 823542 873561 899406 908736 940992 984464 992448 1022328 1058616 1075152 1098056 1107522 1164748 1199208 1209546 1235313 1299142 1302912 1349109 1363104 1411488 1433536 1476696 1488672 1598944 1599754 1612728 1647084 1661283 1747122 1784341 1798812 1817472 1881984 1948713 1968928 1984896 2044656 2117232 2150304 2196112 2215044 2329496 2398416 2399631 2419092 2470626 2598284 2620683 2698218 2726208 2822976 2867072 2953392 2977344 3197888 3199508 3225456 3294168 3322566 3494244 3568682 3597624 3705939 3897426 3937856 4089312 4234464 4300608 4392224 4430088 4658992 4796832 4799262 4838184 4941252 5196568 5241366 5353023 5396436 5452416 5645952 5846139 5906784 5954688 6395776 6399016 6450912 6588336 6645132 6988488 7137364 7195248 7198893 7411878 7794852 7862049 7875712 8154959 8178624 8444423 8468928 8601216 8784448 8860176 9317984 9593664 9598524 9676368 9882504 10393136 10482732 10706046 10792872 11692278 11813568 12798032 12901824 13176672 13290264 13976976 14274728 14390496 14397786 14823756 15589704 15724098 16059069 16309918 16357248 16888846 16937856 17538417 17568896 17720352 18635968 19187328 19197048 19352736 19765008 20786272 20965464 21412092 21585744 21596679 23196433 23384556 23627136 24464877 25333269 25596064 25803648 26353344 26580528 27953952 28549456 28780992 28795572 29647512 31179408 31448196 32118138 32619836 33777692 35076834 35440704 37271936 38394096 38705472 39530016 41572544 41930928 42824184 43171488 43193358 46392866 46769112 48177207 48929754 50666538 51192128 52706688 53161056 55907904 57098912 57561984 57591144 59295024 62358816 62896392 64236276 65239672 67555384 69589299 70153668 70881408 73394631 75999807 76788192 77410944 79060032 83145088 83861856 85648368 86342976 86386716 92785732 93538224 96354414 97859508 101333076 102384256 106014467 106322112 111815808 114197824 115182288 118590048 124717632 125792784 128472552 130479344 135110768 139178598 140307336 146789262 151999614 153576384 158120064 167723712 171296736 172685952 172773432 185571464 187076448 192708828 195719016 202666152 208767897 212028934 212644224 220183893 227999421 228395648 230364576 236493811 237180096 249435264 251585568 256945104 260958688 270221536 278357196 280614672 293578524 303999228 307152768 318043401 335447424 342593472 345546864 371142928 374152896 385417656 391438032 405332304 417535794 424057868 440367786 455998842 460729152 472987622 474360192 503171136 513890208 521917376 540443072 556714392 561229344 587157048 607998456 626303691 636086802 685186944 691093728 709481433 742285856 748305792 770835312 782876064 810664608 835071588 848115736 880735572 911997684 921458304 945975244 954130203 1006342272 1027780416 1043834752 1080886144 1113428784 1122458688 1174314096 1215996912 1252607382 1272173604 1378188071 1382187456 1418962866 1484571712 1541670624 1565752128 1621329216 1670143176 1696231472 1761471144 1823995368 1891950488 1908260406 2055560832 2128444299 2226857568 2244917376 2348628192 2431993824 2505214764 2544347208 2756376142 2764374912 2837925732 2862390609 2969143424 3074419543 3083341248 3131504256 3242658432 3340286352 3392462944 3522942288 3647990736 3783900976 3816520812 4134564213 4256888598 4453715136 4697256384 4863987648 5010429528 5088694416 5512752284 5675851464 5724781218 6148839086 6166682496 6385332897 6680572704 6784925888 7045884576 7295981472 7567801952 7633041624 8269128426 8513777196 8907430272 9223258629 9394512768 9727975296 10020859056 10177388832 11025504568 11351702928 11449562436 12297678172 12403692639 12770665794 13361145408 13569851776 14091769152 14591962944 15135603904 15266083248 16538256852 17027554392 18446517258 20041718112 20354777664 22051009136 22703405856 22899124872 24595356344 24807385278 25541331588 26722290816 27669775887 28183538304 29183925888 30271207808 30532166496 33076513704 34055108784 36893034516 37211077917 39967454059 40083436224 40709555328 44102018272 45406811712 45798249744 49190712688 49614770556 51082663176 55339551774 61064332992 66153027408 68110217568 73786069032 74422155834 79934908118 80166872448 83009327661 88204036544 90813623424 91596499488 98381425376 99229541112 102165326352 110679103548 119902362177 122128665984 132306054816 136220435136 147572138064 148844311668 159869816236 166018655322 176408073088 183192998976 196762850752 198459082224 204330652704 221358207096 239804724354 264612109632 272440870272 295144276128 297688623336 319739632472 332037310644 359707086531 366385997952 393525701504 396918164448 408661305408 442716414192 479609448708 529224219264 590288552256 595377246672 639479264944 664074621288 719414173062 793836328896 817322610816 885432828384 959218897416 1079121259593 1180577104512 1190754493344 1278958529888 1328149242576 1438828346124 1587672657792 1770865656768 1918437794832 2158242519186 2381508986688 2557917059776 2656298485152 2877656692248 3541731313536 3836875589664 4316485038372 4763017973376 5115834119552 5312596970304 5755313384496 7673751179328 8632970076744 10625193940608 11510626768992 15347502358656 17265940153488 23021253537984 34531880306976 46042507075968 69063760613952 138127521227904
• Sum of all divisors σ(n): 457022973168000
• Sum of proper divisors (its aliquot sum) s(n): 318895451940096
• 138127521227904 is an abundant number, because the sum of its proper divisors (318895451940096) is greater than itself. Its abundance is 180767930712192

Bases of 138127521227904

• Binary: 11111011010000001010001110101100010010010000000₂
• Hexadecimal: 0x7DA051D62480
• Base-36: 1CYMWNSIO0

Squares and roots of 138127521227904

• 138127521227904 squared (138127521227904²) is 19079212120565070143908233216
• 138127521227904 cubed (138127521227904³) is 2635364277195035017294419251693199518859264
• The square root of 138127521227904 is 11752766.5350718169
• The cube root of 138127521227904 is 51692.4051347501

Scales and comparisons

• 138,127,521,227,904 seconds is equal to 4,392,027 years, 47 weeks, 5 days, 8 hours, 38 minutes, 24 seconds.
• To count from 1 to 138,127,521,227,904 would take you about ten million, nine hundred eighty thousand and sixty-nine 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 138127521227904 cubic inches would be around 4307.7 feet tall.

Recreational maths with 138127521227904

• 138127521227904 backwards is 409722125721831
• 138127521227904 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 138127521227904's digits is 54
• More coming soon!