138795316304400
138,795,316,304,400 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138795316304400 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2430 divisors.
138795316304400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, four hundred thirty divisors.
Prime factorization of 138795316304400:
24 × 32 × 52 × 72 × 192 × 732 × 409
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 7 × 7 × 19 × 19 × 73 × 73 × 409)See below for interesting mathematical facts about the number 138795316304400 from the Numbermatics database.
Names of 138795316304400
- Cardinal: 138795316304400 can be written as One hundred thirty-eight trillion, seven hundred ninety-five billion, three hundred sixteen million, three hundred four thousand, four hundred.
Scientific notation
- Scientific notation: 1.387953163044 × 1014
Factors of 138795316304400
Divisors of 138795316304400
- Number of divisors d(n): 2430
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 19 20 21 24 25 28 30 35 36 38 40 42 45 48 49 50 56 57 60 63 70 72 73 75 76 80 84 90 95 98 100 105 112 114 120 126 133 140 144 146 147 150 152 168 171 175 180 190 196 200 210 219 225 228 240 245 252 266 280 285 292 294 300 304 315 336 342 350 360 361 365 380 392 399 400 409 420 438 441 450 456 475 490 504 511 525 532 560 570 584 588 600 630 657 665 684 700 720 722 730 735 760 784 798 818 840 855 876 882 900 912 931 950 980 1008 1022 1050 1064 1083 1095 1140 1168 1176 1197 1200 1225 1227 1260 1314 1330 1368 1387 1400 1425 1444 1460 1470 1520 1533 1575 1596 1636 1680 1710 1752 1764 1800 1805 1825 1862 1900 1960 1995 2044 2045 2100 2128 2166 2190 2205 2280 2352 2394 2450 2454 2520 2527 2555 2628 2660 2736 2774 2793 2800 2850 2863 2888 2920 2940 3066 3150 3192 3249 3272 3285 3325 3420 3504 3528 3577 3600 3610 3650 3675 3681 3724 3800 3920 3990 4088 4090 4161 4200 4275 4332 4380 4410 4560 4599 4655 4788 4900 4908 5040 5054 5110 5256 5320 5329 5415 5475 5548 5586 5700 5726 5776 5840 5880 5985 6132 6135 6300 6384 6498 6544 6570 6650 6840 6935 7056 7154 7220 7300 7350 7362 7448 7581 7600 7665 7771 7980 8176 8180 8322 8379 8400 8550 8589 8664 8760 8820 9025 9198 9310 9576 9709 9800 9816 9975 10108 10220 10225 10512 10640 10658 10731 10830 10950 11025 11096 11172 11400 11452 11760 11970 12264 12270 12483 12600 12635 12775 12996 13140 13300 13680 13870 13965 14308 14315 14440 14600 14700 14724 14896 15162 15330 15542 15960 15987 16245 16360 16425 16644 16758 17100 17178 17328 17520 17640 17689 17885 18050 18396 18405 18620 19152 19418 19600 19632 19950 20041 20216 20440 20450 20805 21316 21462 21660 21900 22050 22192 22344 22743 22800 22904 22995 23275 23313 23940 24528 24540 24966 25200 25270 25550 25767 25992 26280 26353 26600 26645 27075 27740 27930 28616 28630 28880 29127 29200 29400 29448 29857 29925 30324 30660 30675 31084 31920 31974 32193 32490 32720 32850 33288 33516 34200 34356 34675 35280 35378 35770 36100 36792 36810 37240 37303 37905 38325 38836 38855 39900 40082 40432 40880 40900 41610 41895 42632 42924 42945 43320 43800 44100 44688 45486 45808 45990 46550 46626 47880 47961 48545 49080 49932 50540 51100 51534 51984 52560 52706 53067 53200 53290 53655 54150 54397 55480 55860 57232 57260 58254 58800 58896 59714 59850 60123 60648 61320 61350 62168 62415 63175 63948 64386 64980 65700 66576 67032 67963 68400 68712 69350 69825 69939 70756 71540 71575 72200 73584 73620 74480 74606 75810 76650 77672 77710 79059 79800 79935 80164 81225 81800 83220 83790 85264 85848 85890 86640 87381 87600 88200 88445 89425 89571 90972 91980 92025 93100 93252 95760 95922 97090 98160 99864 100205 101080 101251 102200 103068 104025 105412 106134 106580 107310 108300 108794 110960 111720 111909 113715 114520 114975 116508 116565 119428 119700 120246 121296 122640 122700 124336 124830 126350 127896 128772 128835 129960 131400 131765 133225 134064 135926 137424 138700 139650 139878 141512 143080 143150 144400 145635 147240 147649 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771085090580 793116093168 811668516400 826162597050 913127080950 925302108696 944185825200 950652851400 963856363225 991395116460 1043573806800 1101550129400 1156627635870 1217502774600 1239243895575 1321860155280 1387953163044 1416278737800 1461003329520 1542170181160 1652325194100 1734941453805 1826254161900 1850604217392 1901305702800 1927712726450 1982790232920 2203100258800 2313255271740 2435005549200 2478487791150 2775906326088 2832557475600 2891569089675 3084340362320 3304650388200 3469882907610 3652508323800 3855425452900 3965580465840 4626510543480 4956975582300 5551812652176 5783138179350 6609300776400 6939765815220 7305016647600 7710850905800 8674707269025 9253021086960 9913951164600 11566276358700 13879531630440 15421701811600 17349414538050 19827902329200 23132552717400 27759063260880 34698829076100 46265105434800 69397658152200 138795316304400
- Sum of all divisors σ(n): 601015116825630
- Sum of proper divisors (its aliquot sum) s(n): 462219800521230
- 138795316304400 is an abundant number, because the sum of its proper divisors (462219800521230) is greater than itself. Its abundance is 323424484216830
Bases of 138795316304400
- Binary: 111111000111011110011011000011001011010000100002
- Hexadecimal: 0x7E3BCD865A10
- Base-36: 1D75ORQLG0
Squares and roots of 138795316304400
- 138795316304400 squared (1387953163044002) is 19264139828038444473459360000
- 138795316304400 cubed (1387953163044003) is 2673772380764785724497147982078789184000000
-
The
square root of 138795316304400 is 11781142.4023479149 -
The
cube root of 138795316304400 is 51775.5757487247
Scales and comparisons
How big is 138795316304400?- 138,795,316,304,400 seconds is equal to 4,413,261 years, 38 weeks, 2 days, 1 hour.
-
To count from 1 to 138,795,316,304,400 would take you about eleven million, thirty-three thousand, one hundred fifty-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 138795316304400 cubic inches would be around 4314.6 feet tall.
Recreational maths with 138795316304400
- 138795316304400 backwards is 004403613597831
- The number of decimal digits it has is: 15
- The sum of 138795316304400's digits is 54
- More coming soon!
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"Number 138795316304400 - Facts about the integer". Numbermatics.com. 2024. Web. 22 May 2024.
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Numbermatics. (2024). Number 138795316304400 - Facts about the integer. Retrieved 22 May 2024, from https://numbermatics.com/n/138795316304400/
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The information we have on file for 138795316304400 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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