138113778669233280

Names of 138113778669233280

• Cardinal: 138113778669233280 can be written as One hundred thirty-eight quadrillion, one hundred thirteen trillion, seven hundred seventy-eight billion, six hundred sixty-nine million, two hundred thirty-three thousand, two hundred eighty.

Scientific notation

• Scientific notation: 1.3811377866923328 × 10¹⁷

Factors of 138113778669233280

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 2147483760

Divisors of 138113778669233280

• Number of divisors d(n): 512
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 41 43 48 57 60 64 76 80 82 86 95 96 114 120 123 128 129 152 160 164 172 190 192 205 215 228 240 246 258 285 304 320 328 344 380 384 410 430 456 480 492 516 570 608 615 640 645 656 688 760 779 817 820 860 912 960 984 1032 1140 1216 1230 1290 1312 1376 1520 1558 1634 1640 1720 1763 1824 1920 1968 2064 2280 2337 2432 2451 2460 2580 2624 2752 3040 3116 3268 3280 3440 3526 3648 3895 3936 4085 4128 4560 4674 4902 4920 5160 5248 5289 5504 6080 6232 6536 6560 6880 7052 7296 7790 7872 8170 8256 8815 9120 9348 9804 9840 10320 10578 11685 12160 12255 12464 13072 13120 13760 14104 15580 15744 16340 16512 17630 18240 18696 19608 19680 20640 21156 23370 24510 24928 26144 26240 26445 27520 28208 31160 32680 33497 35260 36480 37392 39216 39360 41280 42312 46740 49020 49856 52288 52890 56416 62320 65360 66994 70520 74784 78432 78720 82560 84624 93480 98040 99712 100491 104576 105780 112832 124640 130720 133988 141040 149568 156864 167485 169248 186960 196080 200982 211560 225664 249280 261440 267976 282080 299136 313728 334970 338496 373920 392160 401964 423120 498560 502455 522880 535952 564160 669940 676992 747840 784320 803928 846240 1004910 1071904 1128320 1339880 1495680 1568640 1607856 1692480 2009820 2143808 2679760 3215712 3384960 4019640 4287616 5359520 6431424 8039280 10719040 12862848 16078560 21438080 32157120 64314240 2147483647 4294967294 6442450941 8589934588 10737418235 12884901882 17179869176 21474836470 25769803764 32212254705 34359738352 40802189293 42949672940 51539607528 64424509410 68719476704 81604378586 85899345880 88046829527 92341796821 103079215056 122406567879 128849018820 137438953408 163208757172 171798691760 176093659054 184683593642 204010946465 206158430112 244813135758 257698037640 264140488581 274877906816 277025390463 326417514344 343597383520 352187318108 369367187284 408021892930 412316860224 440234147635 461708984105 489626271516 515396075280 528280977162 554050780926 612032839395 652835028688 687194767040 704374636216 738734374568 816043785860 824633720448 880468295270 923417968210 979252543032 1030792150560 1056561954324 1108101561852 1224065678790 1305670057376 1320702442905 1374389534080 1385126952315 1408749272432 1477468749136 1632087571720 1672889761013 1754494139599 1760936590540 1846835936420 1958505086064 2061584301120 2113123908648 2216203123704 2448131357580 2611340114752 2641404885810 2770253904630 2817498544864 2954937498272 3264175143440 3345779522026 3508988279198 3521873181080 3693671872840 3786013669661 3917010172128 4123168602240 4226247817296 4432406247408 4896262715160 5018669283039 5222680229504 5263482418797 5282809771620 5540507809260 5634997089728 5909874996544 6528350286880 6691559044052 7017976558396 7043746362160 7387343745680 7572027339322 7834020344256 8364448805065 8452495634592 8772470697995 8864812494816 9792525430320 10037338566078 10526964837594 10565619543240 11081015618520 11269994179456 11358041008983 11819749993088 13056700573760 13383118088104 14035953116792 14087492724320 14774687491360 15144054678644 15668040688512 16728897610130 16904991269184 17544941395990 17729624989632 18930068348305 19585050860640 20074677132156 21053929675188 21131239086480 22162031237040 22716082017966 25093346415195 26113401147520 26317412093985 26766236176208 28071906233584 28174985448640 29549374982720 30288109357288 33457795220260 33809982538368 35089882791980 35459249979264 37860136696610 39170101721280 40149354264312 42107859350376 42262478172960 44324062474080 45432164035932 50186692830390 52634824187970 53532472352416 56143812467168 56349970897280 56790205044915 59098749965440 60576218714576 66915590440520 70179765583960 71934259723559 75720273393220 78340203442560 80298708528624 84215718700752 84524956345920 88648124948160 90864328071864 100373385660780 105269648375940 107064944704832 112287624934336 113580410089830 121152437429152 133831180881040 140359531167920 143868519447118 151440546786440 160597417057248 168431437401504 169049912691840 177296249896320 181728656143728 200746771321560 210539296751880 214129889409664 215802779170677 224575249868672 227160820179660 242304874858304 267662361762080 280719062335840 287737038894236 302881093572880 321194834114496 336862874803008 359671298617795 363457312287456 401493542643120 421078593503760 431605558341354 454321640359320 484609749716608 535324723524160 561438124671680 575474077788472 605762187145760 642389668228992 673725749606016 719342597235590 726914624574912 802987085286240 842157187007520 863211116682708 908643280718640 1070649447048320 1079013895853385 1122876249343360 1150948155576944 1211524374291520 1438685194471180 1453829249149824 1605974170572480 1684314374015040 1726422233365416 1817286561437280 2158027791706770 2301896311153888 2423048748583040 2877370388942360 3211948341144960 3368628748030080 3452844466730832 3634573122874560 4316055583413540 4603792622307776 5754740777884720 6905688933461664 7269146245749120 8632111166827080 9207585244615552 11509481555769440 13811377866923328 17264222333654160 23018963111538880 27622755733846656 34528444667308320 46037926223077760 69056889334616640 138113778669233280
• Sum of all divisors σ(n): 485750493256089600
• Sum of proper divisors (its aliquot sum) s(n): 347636714586856320
• 138113778669233280 is an abundant number, because the sum of its proper divisors (347636714586856320) is greater than itself. Its abundance is 209522935917623040

Bases of 138113778669233280

• Binary: 111101010101011011011111111111100001010101010010010000000₂
• Hexadecimal: 0x1EAADBFFC2AA480
• Base-36: 11RX8Y03KJUO

Squares and roots of 138113778669233280

• 138113778669233280 squared (138113778669233280²) is 19075415858293957776136863059558400
• 138113778669233280 cubed (138113778669233280³) is 2634577763875994265244820968929828229894303383552000
• The square root of 138113778669233280 is 371636621.8084989535
• The cube root of 138113778669233280 is 516906.9075404709

Scales and comparisons

• 138,113,778,669,233,280 seconds is equal to 4,391,590,947 years, 37 weeks, 23 hours, 28 minutes.
• To count from 1 to 138,113,778,669,233,280 would take you about thirteen billion, one hundred seventy-four million, seven hundred seventy-two thousand, eight hundred forty-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 138113778669233280 cubic inches would be around 43075.6 feet tall.

Recreational maths with 138113778669233280

• 138113778669233280 backwards is 082332966877311831
• The number of decimal digits it has is: 18
• The sum of 138113778669233280's digits is 78
• More coming soon!