138320177100924

Names of 138320177100924

• Cardinal: 138320177100924 can be written as One hundred thirty-eight trillion, three hundred twenty billion, one hundred seventy-seven million, one hundred thousand, nine hundred twenty-four.

Scientific notation

• Scientific notation: 1.38320177100924 × 10¹⁴

Factors of 138320177100924

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 478

Divisors of 138320177100924

• Number of divisors d(n): 720
• Complete list of divisors:
  1 2 3 4 6 7 12 13 14 21 26 28 31 39 42 52 62 73 78 84 91 93 124 146 156 169 182 186 217 219 273 292 338 349 364 372 403 434 438 507 511 546 651 676 698 806 868 876 949 1014 1022 1047 1092 1183 1209 1302 1396 1533 1612 1898 2028 2044 2094 2197 2263 2366 2418 2443 2604 2821 2847 3066 3549 3796 4188 4394 4526 4537 4732 4836 4886 5239 5329 5642 5694 6132 6591 6643 6789 7098 7329 8463 8788 9052 9074 9772 10478 10658 10819 11284 11388 12337 13182 13286 13578 13611 14196 14658 15379 15717 15841 15987 16926 18148 19929 20956 21316 21638 24674 25477 26364 26572 27156 27222 28561 29316 29419 30758 31434 31682 31759 31974 32457 33852 36673 37011 37303 39858 43276 46137 47523 49348 50954 54444 57122 58838 58981 61516 62868 63364 63518 63948 64914 68107 69277 73346 74022 74606 75733 76431 79716 85683 86359 88257 92274 95046 95277 101908 110019 111909 114244 117676 117962 127036 129828 136214 138554 140647 146692 148044 149212 151466 152862 160381 165199 171366 172718 176514 176943 178339 184548 190092 190554 199927 204321 205933 207831 220038 223818 227199 235924 259077 272428 277108 281294 302932 305724 320762 330398 331201 342732 345436 353028 353886 356678 381108 382447 399854 408642 411866 412867 415662 421941 440076 447636 454398 476749 481143 484939 495597 518154 535017 562588 599781 617799 641524 660796 662402 707772 713356 764894 766753 789787 799708 817284 823732 825734 831324 843882 885391 900601 908796 953498 962286 969878 984529 991194 993603 1036308 1070034 1122667 1147341 1156393 1199562 1235598 1238601 1324804 1430247 1454817 1529788 1533506 1579574 1651468 1687764 1770782 1801202 1828411 1859821 1906996 1924572 1939756 1969058 1982388 1987206 2084953 2140068 2147587 2245334 2294682 2300259 2312786 2318407 2369361 2399124 2471196 2477202 2656173 2677129 2701803 2860494 2909634 2953587 3067012 3159148 3368001 3469179 3541564 3602404 3656822 3719642 3938116 3974412 4169906 4295174 4305613 4490668 4589364 4600518 4625572 4636814 4738722 4954404 4971811 5312346 5354258 5367271 5403606 5485233 5528509 5579463 5720988 5819268 5907174 6197737 6254859 6304207 6442761 6736002 6938358 6955221 7313644 7439284 8031387 8339812 8590348 8611226 9201036 9273628 9477444 9943622 9967789 10267231 10624692 10708516 10734542 10807212 10970466 11057018 11158926 11707813 11814348 12395474 12509718 12608414 12798877 12885522 12916839 13018747 13472004 13876716 13910442 14594671 14915433 15033109 16062774 16101813 16585527 17222452 18593211 18912621 19887244 19935578 20534462 21469084 21940932 22114036 22317852 23415626 23769343 24177673 24790948 25019436 25216828 25597754 25771044 25833678 26037494 27820884 27918631 29189342 29830866 29903367 30066218 30139291 30801693 32125548 32203626 33171054 34802677 35123439 37186422 37825242 38396631 39056241 39871156 41068924 43784013 45099327 46831252 47538686 48355346 51195508 51667356 52074988 55837262 55972969 57654451 58378684 59661732 59806734 60132436 60278582 61603386 64407252 64633543 66342108 69605354 69774523 70246878 71308029 71870617 72533019 74372844 75650484 76793262 78112482 81954691 83755893 87568026 90198654 90417873 95077372 96710692 104408031 111674524 111945938 115308902 119613468 120557164 123206772 129267086 133474003 139210708 139549046 140493756 142616058 143741234 145066038 152201569 153586524 156224964 163909382 166385401 167511786 167918907 169243711 172963353 175136052 180397308 180835746 193900629 195430417 208816062 209323569 215611851 223891876 230617804 245864073 258534172 266948006 279098092 285232116 287482468 290132076 304403138 309001459 314309749 327818764 332770802 335023572 335837814 338487422 345926706 361671492 362942203 387801258 390860834 391810783 400422009 403581157 417632124 418647138 431223702 452434801 456604707 491728146 499156203 507731133 533896012 586291251 608806276 618002918 628619498 665541604 671675628 676974844 691853412 725884406 727648597 749507863 775602516 781721668 783621566 800844018 807162314 837294276 862447404 904869602 913209414 927004377 934318021 942929247 983456292 998312406 1015462266 1065410983 1088826609 1172582502 1175432349 1210743471 1236005836 1257238996 1357304403 1451768812 1455297194 1499015726 1567243132 1601688036 1614324628 1735162039 1809739204 1826418828 1854008754 1868636042 1885858494 1996624812 2030924532 2130821966 2163010213 2177653218 2182945791 2200168243 2248523589 2345165004 2350864698 2421486942 2540595421 2714608806 2802954063 2910594388 2998031452 3196232949 3470324078 3708017508 3737272084 3771716988 4086026737 4261643932 4326020426 4355306436 4365891582 4400336486 4497047178 4701729396 4718248639 4842973884 5081190842 5093540179 5205486117 5246555041 5429217612 5605908126 6392465898 6489030639 6600504729 6940648156 7621786263 8172053474 8652040852 8731783164 8800672972 8994094356 9436497278 9743602219 10162381684 10187080358 10410972234 10493110082 11211816252 12146134273 12258080211 12784931796 12978061278 13201009458 14154745917 15243572526 15280620537 15739665123 16344106948 18872994556 19487204438 20374160716 20821944468 20986220164 22557106507 24292268546 24516160422 25956122556 26402018916 28309491834 28602187159 29230806657 30487145052 30561241074 31479330246 33027740473 36438402819 38974408876 45114213014 48584537092 49032320844 53118347581 56618983668 57204374318 58461613314 61122482148 62958660492 66055480946 67671319521 68205215533 72876805638 85806561477 90228426028 99083221419 106236695162 114408748636 116923226628 126666828847 132110961892 135342639042 136410431066 145753611276 157899745549 159355042743 171613122954 198166442838 204615646599 212473390324 253333657694 270685278084 272820862132 315799491098 318710085486 343226245908 371828433067 380000486541 396332885676 409231293198 473699236647 506667315388 631598982196 637420170972 743656866134 760000973082 818462586396 886667801929 947398473294 1115485299201 1487313732268 1520001946164 1646668775011 1773335603858 1894796946588 2230970598402 2660003405787 3293337550022 3546671207716 4461941196804 4940006325033 5320006811574 6586675100044 9880012650066 10640013623148 11526681425077 19760025300132 23053362850154 34580044275231 46106725700308 69160088550462 138320177100924
• Sum of all divisors σ(n): 419406690662400
• Sum of proper divisors (its aliquot sum) s(n): 281086513561476
• 138320177100924 is an abundant number, because the sum of its proper divisors (281086513561476) is greater than itself. Its abundance is 142766336460552

Bases of 138320177100924

• Binary: 11111011100110100101101000001010111100001111100₂
• Hexadecimal: 0x7DCD2D05787C
• Base-36: 1D13EU4HOC

Squares and roots of 138320177100924

• 138320177100924 squared (138320177100924²) is 19132471393230980097281653776
• 138320177100924 cubed (138320177100924³) is 2646406831490071311829919004487091977689024
• The square root of 138320177100924 is 11760959.8715803803
• The cube root of 138320177100924 is 51716.4269440707

Scales and comparisons

• 138,320,177,100,924 seconds is equal to 4,398,153 years, 40 weeks, 3 days, 16 hours, 55 minutes, 24 seconds.
• To count from 1 to 138,320,177,100,924 would take you about ten million, nine hundred ninety-five thousand, three hundred eighty-four 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 138320177100924 cubic inches would be around 4309.7 feet tall.

Recreational maths with 138320177100924

• 138320177100924 backwards is 429001771023831
• The number of decimal digits it has is: 15
• The sum of 138320177100924's digits is 48
• More coming soon!