138763223040
138,763,223,040 is an even composite number composed of five prime numbers multiplied together.
138763223040 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 138763223040:
214 × 3 × 5 × 133 × 257
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 13 × 13 × 13 × 257)See below for interesting mathematical facts about the number 138763223040 from the Numbermatics database.
Names of 138763223040
- Cardinal: 138763223040 can be written as One hundred thirty-eight billion, seven hundred sixty-three million, two hundred twenty-three thousand and forty.
Scientific notation
- Scientific notation: 1.3876322304 × 1011
Factors of 138763223040
Divisors of 138763223040
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 128 130 156 160 169 192 195 208 240 256 257 260 312 320 338 384 390 416 480 507 512 514 520 624 640 676 768 771 780 832 845 960 1014 1024 1028 1040 1248 1280 1285 1352 1536 1542 1560 1664 1690 1920 2028 2048 2056 2080 2197 2496 2535 2560 2570 2704 3072 3084 3120 3328 3341 3380 3840 3855 4056 4096 4112 4160 4394 4992 5070 5120 5140 5408 6144 6168 6240 6591 6656 6682 6760 7680 7710 8112 8192 8224 8320 8788 9984 10023 10140 10240 10280 10816 10985 12288 12336 12480 13182 13312 13364 13520 15360 15420 16224 16384 16448 16640 16705 17576 19968 20046 20280 20480 20560 21632 21970 24576 24672 24960 26364 26624 26728 27040 30720 30840 32448 32896 32955 33280 33410 35152 39936 40092 40560 40960 41120 43264 43433 43940 49152 49344 49920 50115 52728 53248 53456 54080 61440 61680 64896 65792 65910 66560 66820 70304 79872 80184 81120 81920 82240 86528 86866 87880 98688 99840 100230 105456 106496 106912 108160 122880 123360 129792 130299 131584 131820 133120 133640 140608 159744 160368 162240 164480 173056 173732 175760 197376 199680 200460 210912 212992 213824 216320 217165 245760 246720 259584 260598 263168 263640 266240 267280 281216 319488 320736 324480 328960 346112 347464 351520 394752 399360 400920 421824 427648 432640 434330 493440 519168 521196 526336 527280 532480 534560 562432 564629 638976 641472 648960 651495 657920 692224 694928 703040 789504 798720 801840 843648 855296 865280 868660 986880 1038336 1042392 1052672 1054560 1064960 1069120 1124864 1129258 1282944 1297920 1302990 1315840 1384448 1389856 1406080 1579008 1597440 1603680 1687296 1693887 1710592 1730560 1737320 1973760 2076672 2084784 2105344 2109120 2138240 2249728 2258516 2565888 2595840 2605980 2631680 2768896 2779712 2812160 2823145 3158016 3194880 3207360 3374592 3387774 3421184 3461120 3474640 3947520 4153344 4169568 4210688 4218240 4276480 4499456 4517032 5131776 5191680 5211960 5263360 5559424 5624320 5646290 6316032 6414720 6749184 6775548 6842368 6922240 6949280 7895040 8306688 8339136 8436480 8469435 8552960 8998912 9034064 10263552 10383360 10423920 10526720 11118848 11248640 11292580 12632064 12829440 13498368 13551096 13684736 13844480 13898560 15790080 16678272 16872960 16938870 17105920 17997824 18068128 20527104 20766720 20847840 21053440 22237696 22497280 22585160 25658880 26996736 27102192 27369472 27797120 31580160 33356544 33745920 33877740 34211840 35995648 36136256 41054208 41533440 41695680 44475392 44994560 45170320 51317760 53993472 54204384 54738944 55594240 63160320 66713088 67491840 67755480 68423680 72272512 82108416 83391360 88950784 89989120 90340640 102635520 107986944 108408768 111188480 133426176 134983680 135510960 136847360 144545024 164216832 166782720 177901568 179978240 180681280 205271040 216817536 222376960 266852352 269967360 271021920 273694720 289090048 333565440 355803136 361362560 410542080 433635072 444753920 533704704 539934720 542043840 578180096 667130880 711606272 722725120 821084160 867270144 889507840 1067409408 1084087680 1156360192 1334261760 1445450240 1734540288 1779015680 2134818816 2168175360 2312720384 2668523520 2890900480 3469080576 3558031360 4336350720 4625440768 5337047040 5781800960 6938161152 8672701440 9250881536 10674094080 11563601920 13876322304 17345402880 23127203840 27752644608 34690805760 46254407680 69381611520 138763223040
- Sum of all divisors σ(n): 482885968320
- Sum of proper divisors (its aliquot sum) s(n): 344122745280
- 138763223040 is an abundant number, because the sum of its proper divisors (344122745280) is greater than itself. Its abundance is 205359522240
Bases of 138763223040
- Binary: 100000010011101110111011000000000000002
- Hexadecimal: 0x204EEEC000
- Base-36: 1RQW1G5C
Squares and roots of 138763223040
- 138763223040 squared (1387632230402) is 19255232068448786841600
- 138763223040 cubed (1387632230403) is 2671918062201119555318357950464000
-
The
square root of 138763223040 is 372509.3596676465 -
The
cube root of 138763223040 is 5177.1584799137
Scales and comparisons
How big is 138763223040?- 138,763,223,040 seconds is equal to 4,412 years, 12 weeks, 3 days, 19 hours, 44 minutes.
-
To count from 1 to 138,763,223,040 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 138763223040 cubic inches would be around 431.4 feet tall.
Recreational maths with 138763223040
- 138763223040 backwards is 040322367831
- 138763223040 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138763223040's digits is 39
- More coming soon!
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