138766417920

Names of 138766417920

• Cardinal: 138766417920 can be written as One hundred thirty-eight billion, seven hundred sixty-six million, four hundred seventeen thousand, nine hundred twenty.

Scientific notation

• Scientific notation: 1.3876641792 × 10¹¹

Factors of 138766417920

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 22
• Sum of prime factors: 169

Divisors of 138766417920

• Number of divisors d(n): 1024
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 13 15 16 18 19 20 24 26 27 30 32 36 38 39 40 45 48 52 54 57 60 64 65 72 76 78 80 90 95 96 104 108 114 117 120 127 128 130 135 144 152 156 160 171 180 190 192 195 208 216 228 234 240 247 254 256 260 270 285 288 304 312 320 342 351 360 380 381 384 390 416 432 456 468 480 494 508 512 513 520 540 570 576 585 608 624 635 640 684 702 720 741 760 762 768 780 832 855 864 912 936 960 988 1016 1024 1026 1040 1080 1140 1143 1152 1170 1216 1235 1248 1270 1280 1368 1404 1440 1482 1520 1524 1536 1560 1651 1664 1710 1728 1755 1824 1872 1905 1920 1976 2032 2048 2052 2080 2160 2223 2280 2286 2304 2340 2413 2432 2470 2496 2540 2560 2565 2736 2808 2880 2964 3040 3048 3072 3120 3302 3328 3420 3429 3456 3510 3648 3705 3744 3810 3840 3952 4064 4096 4104 4160 4320 4446 4560 4572 4608 4680 4826 4864 4940 4953 4992 5080 5120 5130 5472 5616 5715 5760 5928 6080 6096 6144 6240 6604 6656 6669 6840 6858 6912 7020 7239 7296 7410 7488 7620 7680 7904 8128 8192 8208 8255 8320 8640 8892 9120 9144 9216 9360 9652 9728 9880 9906 9984 10160 10240 10260 10944 11115 11232 11430 11520 11856 12065 12160 12192 12288 12480 13208 13312 13338 13680 13716 13824 14040 14478 14592 14820 14859 14976 15240 15360 15808 16256 16384 16416 16510 16640 17145 17280 17784 18240 18288 18432 18720 19304 19456 19760 19812 19968 20320 20480 20520 21717 21888 22230 22464 22860 23040 23712 24130 24320 24384 24576 24765 24960 26416 26624 26676 27360 27432 27648 28080 28956 29184 29640 29718 29952 30480 30720 31369 31616 32512 32768 32832 33020 33280 33345 34290 34560 35568 36195 36480 36576 36864 37440 38608 38912 39520 39624 39936 40640 40960 41040 43434 43776 44460 44577 44928 45720 46080 47424 48260 48640 48768 49152 49530 49920 52832 53248 53352 54720 54864 55296 56160 57912 58368 59280 59436 59904 60960 61440 62738 63232 65024 65151 65664 66040 66560 66690 68580 69120 71136 72390 72960 73152 73728 74295 74880 77216 77824 79040 79248 79872 81280 81920 82080 86868 87552 88920 89154 89856 91440 92160 94107 94848 96520 97280 97536 98304 99060 99840 105664 106496 106704 108585 109440 109728 110592 112320 115824 116736 118560 118872 119808 121920 122880 125476 126464 130048 130302 131328 132080 133120 133380 137160 138240 142272 144780 145920 146304 147456 148590 149760 154432 155648 156845 158080 158496 159744 162560 163840 164160 173736 175104 177840 178308 179712 182880 184320 188214 189696 193040 194560 195072 198120 199680 211328 212992 213408 217170 218880 219456 221184 222885 224640 231648 233472 237120 237744 239616 243840 245760 250952 252928 260096 260604 262656 264160 266240 266760 274320 276480 282321 284544 289560 291840 292608 294912 297180 299520 308864 311296 313690 316160 316992 319488 325120 325755 328320 347472 350208 355680 356616 359424 365760 368640 376428 379392 386080 389120 390144 396240 399360 422656 425984 426816 434340 437760 438912 442368 445770 449280 463296 466944 470535 474240 475488 479232 487680 491520 501904 505856 520192 521208 525312 528320 532480 533520 548640 552960 564642 569088 579120 583680 585216 594360 599040 617728 622592 627380 632320 633984 638976 650240 651510 656640 694944 700416 711360 713232 718848 731520 737280 752856 758784 772160 778240 780288 792480 798720 845312 846963 853632 868680 875520 877824 884736 891540 898560 926592 933888 941070 948480 950976 958464 975360 1003808 1011712 1040384 1042416 1050624 1056640 1064960 1067040 1097280 1105920 1129284 1138176 1158240 1167360 1170432 1188720 1198080 1235456 1254760 1264640 1267968 1277952 1300480 1303020 1313280 1389888 1400832 1411605 1422720 1426464 1437696 1463040 1474560 1505712 1517568 1544320 1556480 1560576 1584960 1597440 1690624 1693926 1707264 1737360 1751040 1755648 1783080 1797120 1853184 1867776 1882140 1896960 1901952 1916928 1950720 2007616 2023424 2080768 2084832 2101248 2113280 2129920 2134080 2194560 2211840 2258568 2276352 2316480 2334720 2340864 2377440 2396160 2470912 2509520 2529280 2535936 2600960 2606040 2626560 2779776 2801664 2823210 2845440 2852928 2875392 2926080 3011424 3035136 3088640 3112960 3121152 3169920 3194880 3381248 3387852 3414528 3474720 3502080 3511296 3566160 3594240 3706368 3764280 3793920 3803904 3833856 3901440 4015232 4046848 4161536 4169664 4202496 4226560 4234815 4268160 4389120 4423680 4517136 4552704 4632960 4669440 4681728 4754880 4792320 4941824 5019040 5058560 5071872 5201920 5212080 5253120 5559552 5603328 5646420 5690880 5705856 5750784 5852160 6022848 6070272 6177280 6242304 6339840 6389760 6762496 6775704 6829056 6949440 7004160 7022592 7132320 7188480 7412736 7528560 7587840 7607808 7802880 8030464 8093696 8339328 8404992 8453120 8469630 8536320 8778240 9034272 9105408 9265920 9338880 9363456 9509760 9584640 9883648 10038080 10117120 10143744 10403840 10424160 10506240 11119104 11292840 11381760 11411712 11501568 11704320 12045696 12140544 12354560 12484608 12679680 13524992 13551408 13658112 13898880 14008320 14045184 14264640 14376960 14825472 15057120 15175680 15215616 15605760 16060928 16678656 16809984 16906240 16939260 17072640 17556480 18068544 18210816 18531840 18726912 19019520 19169280 19767296 20076160 20234240 20287488 20807680 20848320 21012480 22238208 22585680 22763520 22823424 23408640 24091392 24281088 24709120 25359360 27049984 27102816 27316224 27797760 28016640 28090368 28529280 28753920 29650944 30114240 30351360 30431232 31211520 32121856 33357312 33812480 33878520 34145280 35112960 36137088 36421632 37063680 37453824 38039040 39534592 40152320 40468480 40574976 41696640 42024960 44476416 45171360 45527040 45646848 46817280 48182784 49418240 50718720 54099968 54205632 54632448 55595520 56180736 57058560 57507840 59301888 60228480 60702720 60862464 62423040 64243712 66714624 67624960 67757040 68290560 70225920 72274176 72843264 74127360 76078080 79069184 80304640 81149952 83393280 84049920 88952832 90342720 91054080 91293696 93634560 96365568 98836480 101437440 108411264 109264896 111191040 112361472 114117120 118603776 120456960 121405440 121724928 128487424 133429248 135249920 135514080 136581120 140451840 144548352 148254720 152156160 160609280 162299904 166786560 177905664 180685440 182108160 182587392 187269120 192731136 197672960 202874880 216822528 218529792 222382080 228234240 237207552 240913920 243449856 256974848 266858496 270499840 271028160 273162240 280903680 289096704 296509440 304312320 321218560 333573120 355811328 361370880 364216320 365174784 385462272 395345920 405749760 433645056 444764160 456468480 481827840 486899712 513949696 533716992 542056320 546324480 561807360 578193408 593018880 608624640 642437120 667146240 711622656 722741760 730349568 770924544 811499520 867290112 889528320 912936960 963655680 1027899392 1067433984 1084112640 1092648960 1156386816 1186037760 1217249280 1284874240 1334292480 1445483520 1460699136 1541849088 1734580224 1779056640 1825873920 1927311360 2134867968 2168225280 2312773632 2434498560 2569748480 2668584960 2890967040 3083698176 3469160448 3558113280 3651747840 3854622720 4336450560 4625547264 5139496960 5337169920 5781934080 6938320896 7303495680 7709245440 8672901120 9251094528 10674339840 11563868160 13876641792 15418490880 17345802240 23127736320 27753283584 34691604480 46255472640 69383208960 138766417920
• Sum of all divisors σ(n): 563705856000
• Sum of proper divisors (its aliquot sum) s(n): 424939438080
• 138766417920 is an abundant number, because the sum of its proper divisors (424939438080) is greater than itself. Its abundance is 286173020160

Bases of 138766417920

• Binary: 10000001001111000111111000000000000000₂
• Hexadecimal: 0x204F1F8000
• Base-36: 1RQXXXC0

Squares and roots of 138766417920

• 138766417920 squared (138766417920²) is 19256118742348097126400
• 138766417920 cubed (138766417920³) is 2672102620917820847958773465088000
• The square root of 138766417920 is 372513.6479647425
• The cube root of 138766417920 is 5177.1982125191

Scales and comparisons

• 138,766,417,920 seconds is equal to 4,412 years, 17 weeks, 5 days, 19 hours, 12 minutes.
• To count from 1 to 138,766,417,920 would take you about eight thousand, eight hundred twenty-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 138766417920 cubic inches would be around 431.4 feet tall.

Recreational maths with 138766417920

• 138766417920 backwards is 029714667831
• 138766417920 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 138766417920's digits is 54
• More coming soon!