138831676800
138,831,676,800 is an even composite number composed of six prime numbers multiplied together.
What does the number 138831676800 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 576 divisors.
138831676800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 138831676800:
27 × 3 × 52 × 29 × 53 × 972
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 29 × 53 × 97 × 97)See below for interesting mathematical facts about the number 138831676800 from the Numbermatics database.
Names of 138831676800
- Cardinal: 138831676800 can be written as One hundred thirty-eight billion, eight hundred thirty-one million, six hundred seventy-six thousand, eight hundred.
Scientific notation
- Scientific notation: 1.388316768 × 1011
Factors of 138831676800
Divisors of 138831676800
- Number of divisors d(n): 576
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 29 30 32 40 48 50 53 58 60 64 75 80 87 96 97 100 106 116 120 128 145 150 159 160 174 192 194 200 212 232 240 265 290 291 300 318 320 348 384 388 400 424 435 464 480 485 530 580 582 600 636 640 696 725 776 795 800 848 870 928 960 970 1060 1160 1164 1200 1272 1325 1392 1450 1455 1537 1552 1590 1600 1696 1740 1856 1920 1940 2120 2175 2320 2328 2400 2425 2544 2650 2784 2813 2900 2910 3074 3104 3180 3200 3392 3480 3712 3880 3975 4240 4350 4611 4640 4656 4800 4850 5088 5141 5300 5568 5626 5800 5820 6148 6208 6360 6784 6960 7275 7685 7760 7950 8439 8480 8700 9222 9280 9312 9409 9600 9700 10176 10282 10600 11136 11252 11600 11640 12296 12416 12720 13920 14065 14550 15370 15423 15520 15900 16878 16960 17400 18444 18560 18624 18818 19400 20352 20564 21200 22504 23055 23200 23280 24592 25440 25705 27840 28130 28227 29100 30740 30846 31040 31800 33756 33920 34800 36888 37248 37636 38425 38800 41128 42195 42400 45008 46110 46400 46560 47045 49184 50880 51410 55680 56260 56454 58200 61480 61692 62080 63600 67512 69600 70325 73776 75272 76850 77115 77600 82256 84390 84800 90016 92220 92800 93120 94090 98368 101760 102820 112520 112908 115275 116400 122960 123384 127200 128525 135024 139200 140650 141135 147552 149089 150544 153700 154230 155200 164512 168780 169600 180032 184440 186240 188180 196736 205640 210975 225040 225816 230550 232800 235225 245920 246768 254400 257050 270048 272861 278400 281300 282270 295104 298178 301088 307400 308460 310400 329024 337560 360064 368880 376360 385575 411280 421950 447267 450080 451632 461100 465600 470450 491840 493536 498677 508800 514100 540096 545722 562600 564540 590208 596356 602176 614800 616920 658048 675120 705675 737760 745445 752720 771150 818583 822560 843900 894534 900160 903264 922200 931200 940900 983680 987072 997354 1028200 1080192 1091444 1125200 1129080 1192712 1204352 1229600 1233840 1350240 1364305 1411350 1475520 1490890 1496031 1505440 1542300 1637166 1645120 1687800 1789068 1800320 1806528 1844400 1881800 1974144 1994708 2056400 2182888 2236335 2250400 2258160 2385424 2459200 2467680 2493385 2700480 2728610 2822700 2951040 2981780 2992062 3010880 3084600 3274332 3290240 3375600 3578136 3613056 3688800 3727225 3763600 3989416 4092915 4112800 4365776 4472670 4500800 4516320 4770848 4918400 4935360 4986770 5400960 5457220 5645400 5963560 5984124 6021760 6169200 6548664 6751200 6821525 7156272 7377600 7454450 7480155 7527200 7978832 8185830 8225600 8731552 8945340 9001600 9032640 9541696 9870720 9973540 10914440 11181675 11290800 11927120 11968248 12338400 12466925 13097328 13502400 13643050 14312544 14461633 14755200 14908900 14960310 15054400 15957664 16371660 16451200 17463104 17890680 18065280 19083392 19947080 20464575 21828880 22363350 22581600 23854240 23936496 24676800 24933850 26194656 27004800 27286100 28625088 28923266 29817800 29920620 30108800 31915328 32743320 34926208 35781360 37400775 39894160 40929150 43384899 43657760 44726700 45163200 47708480 47872992 49353600 49867700 52389312 54572200 57250176 57846532 59635600 59841240 63830656 65486640 71562720 72308165 74801550 79788320 81858300 86769798 87315520 89453400 90326400 95416960 95745984 99735400 104778624 109144400 115693064 119271200 119682480 130973280 143125440 144616330 149603100 159576640 163716600 173539596 174631040 178906800 191491968 199470800 216924495 218288800 231386128 238542400 239364960 261946560 286250880 289232660 299206200 319153280 327433200 347079192 357813600 361540825 398941600 433848990 436577600 462772256 477084800 478729920 523893120 578465320 598412400 654866400 694158384 715627200 723081650 797883200 867697980 873155200 925544512 957459840 1084622475 1156930640 1196824800 1309732800 1388316768 1431254400 1446163300 1595766400 1735395960 1851089024 2169244950 2313861280 2393649600 2619465600 2776633536 2892326600 3470791920 4338489900 4627722560 4787299200 5553267072 5784653200 6941583840 8676979800 9255445120 11569306400 13883167680 17353959600 23138612800 27766335360 34707919200 46277225600 69415838400 138831676800
- Sum of all divisors σ(n): 486990370800
- Sum of proper divisors (its aliquot sum) s(n): 348158694000
- 138831676800 is an abundant number, because the sum of its proper divisors (348158694000) is greater than itself. Its abundance is 209327017200
Bases of 138831676800
- Binary: 100000010100110000001101000101100000002
- Hexadecimal: 0x2053034580
- Base-36: 1RS0SNEO
Squares and roots of 138831676800
- 138831676800 squared (1388316768002) is 19274234483099658240000
- 138831676800 cubed (1388316768003) is 2675874292325106814966136832000000
-
The
square root of 138831676800 is 372601.2302717209 -
The
cube root of 138831676800 is 5178.0096605463
Scales and comparisons
How big is 138831676800?- 138,831,676,800 seconds is equal to 4,414 years, 21 weeks, 5 days, 2 hours, 40 minutes.
-
To count from 1 to 138,831,676,800 would take you about eight thousand, eight hundred twenty-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 138831676800 cubic inches would be around 431.5 feet tall.
Recreational maths with 138831676800
- 138831676800 backwards is 008676138831
- The number of decimal digits it has is: 12
- The sum of 138831676800's digits is 51
- More coming soon!
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