138946808000
138,946,808,000 is an even composite number composed of six prime numbers multiplied together.
138946808000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred forty-eight divisors.
Prime factorization of 138946808000:
26 × 53 × 7 × 11 × 13 × 17351
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 11 × 13 × 17351)See below for interesting mathematical facts about the number 138946808000 from the Numbermatics database.
Names of 138946808000
- Cardinal: 138946808000 can be written as One hundred thirty-eight billion, nine hundred forty-six million, eight hundred eight thousand.
Scientific notation
- Scientific notation: 1.38946808 × 1011
Factors of 138946808000
Divisors of 138946808000
- Number of divisors d(n): 448
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Complete list of divisors:
1 2 4 5 7 8 10 11 13 14 16 20 22 25 26 28 32 35 40 44 50 52 55 56 64 65 70 77 80 88 91 100 104 110 112 125 130 140 143 154 160 175 176 182 200 208 220 224 250 260 275 280 286 308 320 325 350 352 364 385 400 416 440 448 455 500 520 550 560 572 616 650 700 704 715 728 770 800 832 875 880 910 1000 1001 1040 1100 1120 1144 1232 1300 1375 1400 1430 1456 1540 1600 1625 1750 1760 1820 1925 2000 2002 2080 2200 2240 2275 2288 2464 2600 2750 2800 2860 2912 3080 3250 3500 3520 3575 3640 3850 4000 4004 4160 4400 4550 4576 4928 5005 5200 5500 5600 5720 5824 6160 6500 7000 7150 7280 7700 8000 8008 8800 9100 9152 9625 10010 10400 11000 11200 11375 11440 12320 13000 14000 14300 14560 15400 16016 17351 17600 17875 18200 19250 20020 20800 22000 22750 22880 24640 25025 26000 28000 28600 29120 30800 32032 34702 35750 36400 38500 40040 44000 45500 45760 50050 52000 56000 57200 61600 64064 69404 71500 72800 77000 80080 86755 88000 91000 100100 104000 114400 121457 123200 125125 138808 143000 145600 154000 160160 173510 182000 190861 200200 225563 228800 242914 250250 277616 286000 308000 320320 347020 364000 381722 400400 433775 451126 485828 500500 555232 572000 607285 616000 694040 728000 763444 800800 867550 902252 954305 971656 1001000 1110464 1127815 1144000 1214570 1336027 1388080 1526888 1578941 1601600 1735100 1804504 1908610 1943312 2002000 2168875 2255630 2429140 2481193 2672054 2776160 3036425 3053776 3157882 3470200 3609008 3817220 3886624 4004000 4337750 4511260 4771525 4858280 4962386 5344108 5552320 5639075 6072850 6107552 6315764 6680135 6940400 7218016 7634440 7773248 7894705 8008000 8675500 9022520 9543050 9716560 9924772 10688216 11278150 12145700 12215104 12405965 12631528 13360270 13880800 14436032 15182125 15268880 15789410 17351000 17368351 18045040 19086100 19433120 19849544 21376432 22556300 23857625 24291400 24811930 25263056 26720540 27761600 28195375 30364250 30537760 31578820 33400675 34702000 34736702 36090080 38172200 38866240 39473525 39699088 42752864 45112600 47715250 48582800 49623860 50526112 53441080 56390750 60728500 61075520 62029825 63157640 66801350 69404000 69473404 72180160 76344400 78947050 79398176 85505728 86841755 90225200 95430500 97165600 99247720 101052224 106882160 112781500 121457000 124059650 126315280 133602700 138808000 138946808 152688800 157894100 158796352 167003375 173683510 180450400 190861000 194331200 197367625 198495440 213764320 225563000 242914000 248119300 252630560 267205400 277893616 305377600 310149125 315788200 334006750 347367020 360900800 381722000 394735250 396990880 427528640 434208775 451126000 485828000 496238600 505261120 534410800 555787232 620298250 631576400 668013500 694734040 763444000 789470500 793981760 868417550 902252000 971656000 992477200 1068821600 1111574464 1240596500 1263152800 1336027000 1389468080 1526888000 1578941000 1736835100 1804504000 1984954400 2137643200 2171043875 2481193000 2526305600 2672054000 2778936160 3157882000 3473670200 3969908800 4342087750 4962386000 5344108000 5557872320 6315764000 6947340400 8684175500 9924772000 10688216000 12631528000 13894680800 17368351000 19849544000 27789361600 34736702000 69473404000 138946808000
- Sum of all divisors σ(n): 462037395456
- Sum of proper divisors (its aliquot sum) s(n): 323090587456
- 138946808000 is an abundant number, because the sum of its proper divisors (323090587456) is greater than itself. Its abundance is 184143779456
Bases of 138946808000
- Binary: 100000010110011110000000001000110000002
- Hexadecimal: 0x2059E008C0
- Base-36: 1RTXCB7K
Squares and roots of 138946808000
- 138946808000 squared (1389468080002) is 19306215453388864000000
- 138946808000 cubed (1389468080003) is 2682537011808655435546112000000000
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The
square root of 138946808000 is 372755.6947921787 -
The
cube root of 138946808000 is 5179.4406157921
Scales and comparisons
How big is 138946808000?- 138,946,808,000 seconds is equal to 4,418 years, 4 weeks, 15 hours, 33 minutes, 20 seconds.
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To count from 1 to 138,946,808,000 would take you about eight thousand, eight hundred thirty-six 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 138946808000 cubic inches would be around 431.6 feet tall.
Recreational maths with 138946808000
- 138946808000 backwards is 000808649831
- The number of decimal digits it has is: 12
- The sum of 138946808000's digits is 47
- More coming soon!
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