138462125068800
138,462,125,068,800 is an even composite number composed of six prime numbers multiplied together.
What does the number 138462125068800 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2880 divisors.
138462125068800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, eight hundred eighty divisors.
Prime factorization of 138462125068800:
29 × 33 × 52 × 133 × 172 × 631
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 13 × 13 × 13 × 17 × 17 × 631)See below for interesting mathematical facts about the number 138462125068800 from the Numbermatics database.
Names of 138462125068800
- Cardinal: 138462125068800 can be written as One hundred thirty-eight trillion, four hundred sixty-two billion, one hundred twenty-five million, sixty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 1.384621250688 × 1014
Factors of 138462125068800
Divisors of 138462125068800
- Number of divisors d(n): 2880
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 17 18 20 24 25 26 27 30 32 34 36 39 40 45 48 50 51 52 54 60 64 65 68 72 75 78 80 85 90 96 100 102 104 108 117 120 128 130 135 136 144 150 153 156 160 169 170 180 192 195 200 204 208 216 221 225 234 240 255 256 260 270 272 288 289 300 306 312 320 325 338 340 351 360 384 390 400 408 416 425 432 442 450 459 468 480 507 510 512 520 540 544 576 578 585 600 612 624 631 640 650 663 675 676 680 702 720 765 768 780 800 816 832 845 850 864 867 884 900 918 936 960 975 1014 1020 1040 1080 1088 1105 1152 1156 1170 1200 1224 1248 1262 1275 1280 1300 1326 1350 1352 1360 1404 1440 1445 1521 1530 1536 1560 1600 1632 1664 1690 1700 1728 1734 1755 1768 1800 1836 1872 1893 1920 1950 1989 2028 2040 2080 2160 2176 2197 2210 2295 2304 2312 2340 2400 2448 2496 2524 2535 2550 2560 2600 2601 2652 2700 2704 2720 2808 2873 2880 2890 2925 3042 3060 3120 3155 3200 3264 3315 3328 3380 3400 3456 3468 3510 3536 3600 3672 3744 3757 3786 3825 3840 3900 3978 4056 4080 4160 4225 4320 4335 4352 4394 4420 4563 4590 4608 4624 4680 4800 4896 4992 5048 5070 5100 5200 5202 5304 5400 5408 5440 5525 5616 5679 5746 5760 5780 5850 5967 6084 6120 6240 6310 6400 6528 6591 6630 6656 6760 6800 6912 6936 7020 7072 7200 7225 7344 7488 7514 7572 7605 7650 7680 7800 7803 7956 8112 8160 8203 8320 8450 8619 8640 8670 8704 8775 8788 8840 9126 9180 9248 9360 9465 9600 9792 9945 9984 10096 10140 10200 10400 10404 10608 10727 10800 10816 10880 10985 11050 11232 11271 11358 11475 11492 11520 11560 11700 11934 12168 12240 12480 12620 12675 12800 13005 13056 13182 13260 13520 13600 13824 13872 14040 14144 14365 14400 14450 14688 14976 15028 15144 15210 15300 15600 15606 15775 15912 16224 16320 16406 16575 16640 16900 17037 17238 17280 17340 17550 17576 17680 18252 18360 18496 18720 18785 18930 19200 19584 19773 19890 19968 20192 20280 20400 20800 20808 21216 21454 21600 21632 21675 21760 21970 22100 22464 22542 22716 22815 22950 22984 23040 23120 23400 23868 24336 24480 24609 24960 25240 25350 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7831568160 7877908800 7889579776 7985128320 8012854460 8032377600 8127142400 8193025152 8321041170 8353672704 8439724800 8484198840 8534401200 8701742400 8777313792 8872364800 8875777248 9049812096 9103361280 9143035200 9213609600 9245601300 9426887600 9582153984 9615425352 9638853120 9789460200 9861974720 9981410400 10016068075 10181038608 10241281440 10442090880 10503878400 10605248550 10646837760 10817353521 10924033536 10971642240 11094721560 11312265120 11379201600 11602323200 11834369664 11977692480 12019281690 12048566400 12066416128 12190713600 12284812800 12327468400 12530509056 12604654080 12726298260 12801601800 12820567136 12907814400 13052613600 13308547200 13313665872 13574718144 13655041920 13714552800 13868401950 13922787840 14140331400 14423138028 14628856320 14792962080 14972115600 15083020160 15172268800 15663136320 15755817600 15779159552 15907872825 15970256640 16025708920 16064755200 16386050304 16642082340 16879449600 16968397680 17068802400 17403484800 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163860503040 166420823400 169683976800 173077656336 177515544960 180289225350 180996241920 192308507040 197239494400 203620772160 204825628800 205129074176 208841817600 213018653952 216347070420 219432844800 221894431200 226245302400 230770208448 236687393280 239553849600 240385633800 254525965200 256411342720 266273317440 270433838025 271494362880 273100838400 288462760560 295859241600 301660403200 307693611264 313262726400 320514178400 325793235456 332841646800 339367953600 346155312672 355031089920 360578450700 384617014080 394478988800 407241544320 409651257600 426037307904 432694140840 443788862400 452490604800 461540416896 479107699200 480771267600 509051930400 512822685440 532546634880 540867676050 542988725760 576925521120 591718483200 615387222528 626525452800 641028356800 665683293600 678735907200 692310625344 710062179840 721156901400 769234028160 814483088640 819302515200 865388281680 887577724800 904981209600 923080833792 961542535200 1018103860800 1025645370880 1065093269760 1081735352100 1153851042240 1183436966400 1282056713600 1331366587200 1357471814400 1384621250688 1442313802800 1538468056320 1628966177280 1730776563360 1775155449600 1846161667584 1923085070400 2036207721600 2130186539520 2163470704200 2307702084480 2564113427200 2662733174400 2714943628800 2769242501376 2884627605600 3076936112640 3461553126720 3550310899200 3846170140800 4072415443200 4326941408400 4615404168960 5128226854400 5325466348800 5538485002752 5769255211200 6923106253440 7692340281600 8144830886400 8653882816800 9230808337920 10650932697600 11538510422400 13846212506880 15384680563200 17307765633600 23077020844800 27692425013760 34615531267200 46154041689600 69231062534400 138462125068800
- Sum of all divisors σ(n): 585773512262400
- Sum of proper divisors (its aliquot sum) s(n): 447311387193600
- 138462125068800 is an abundant number, because the sum of its proper divisors (447311387193600) is greater than itself. Its abundance is 308849262124800
Bases of 138462125068800
- Binary: 111110111101110001110011100011110010010000000002
- Hexadecimal: 0x7DEE39C79200
- Base-36: 1D2WMEA2O0
Squares and roots of 138462125068800
- 138462125068800 squared (1384621250688002) is 19171760078568013404733440000
- 138462125068800 cubed (1384621250688003) is 2654562641787711186453356483205660672000000
-
The
square root of 138462125068800 is 11766993.0342802531 -
The
cube root of 138462125068800 is 51734.1118355115
Scales and comparisons
How big is 138462125068800?- 138,462,125,068,800 seconds is equal to 4,402,667 years, 14 weeks, 6 days.
-
To count from 1 to 138,462,125,068,800 would take you about eleven million, six thousand, six hundred sixty-eight 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 138462125068800 cubic inches would be around 4311.2 feet tall.
Recreational maths with 138462125068800
- 138462125068800 backwards is 008860521264831
- 138462125068800 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138462125068800's digits is 54
- More coming soon!
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MLA style:
"Number 138462125068800 - Facts about the integer". Numbermatics.com. 2024. Web. 25 May 2024.
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Numbermatics. (2024). Number 138462125068800 - Facts about the integer. Retrieved 25 May 2024, from https://numbermatics.com/n/138462125068800/
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The information we have on file for 138462125068800 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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