138125009600
138,125,009,600 is an even composite number composed of six prime numbers multiplied together.
138125009600 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred thirty-six divisors.
Prime factorization of 138125009600:
26 × 52 × 23 × 89 × 181 × 233
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 23 × 89 × 181 × 233)See below for interesting mathematical facts about the number 138125009600 from the Numbermatics database.
Names of 138125009600
- Cardinal: 138125009600 can be written as One hundred thirty-eight billion, one hundred twenty-five million, nine thousand, six hundred.
Scientific notation
- Scientific notation: 1.381250096 × 1011
Factors of 138125009600
Divisors of 138125009600
- Number of divisors d(n): 336
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Complete list of divisors:
1 2 4 5 8 10 16 20 23 25 32 40 46 50 64 80 89 92 100 115 160 178 181 184 200 230 233 320 356 362 368 400 445 460 466 575 712 724 736 800 890 905 920 932 1150 1165 1424 1448 1472 1600 1780 1810 1840 1864 2047 2225 2300 2330 2848 2896 3560 3620 3680 3728 4094 4163 4450 4525 4600 4660 5359 5696 5792 5825 7120 7240 7360 7456 8188 8326 8900 9050 9200 9320 10235 10718 11584 11650 14240 14480 14912 16109 16376 16652 17800 18100 18400 18640 20470 20737 20815 21436 23300 26795 28480 28960 32218 32752 33304 35600 36200 36800 37280 40940 41474 41630 42173 42872 46600 51175 53590 57920 64436 65504 66608 71200 72400 74560 80545 81880 82948 83260 84346 85744 93200 102350 103685 104075 107180 128872 131008 133216 133975 142400 144800 161090 163760 165896 166520 168692 171488 186400 204700 207370 208150 210865 214360 257744 266432 267950 289600 322180 327520 331792 333040 337384 342976 370507 372800 402725 409400 414740 416300 421730 428720 476951 515488 518425 535900 644360 655040 663584 666080 674768 741014 805450 818800 829480 832600 843460 857440 953902 969979 1030976 1036850 1054325 1071800 1288720 1327168 1332160 1349536 1482028 1610900 1637600 1658960 1665200 1686920 1714880 1852535 1907804 1939958 2073700 2108650 2143600 2384755 2577440 2699072 2964056 3221800 3275200 3317920 3330400 3373840 3705070 3753397 3815608 3879916 4147400 4217300 4287200 4769510 4849895 5154880 5928112 6443600 6635840 6660800 6747680 7410140 7506794 7631216 7759832 8294800 8434600 8574400 9262675 9539020 9699790 11856224 11923775 12887200 13495360 14820280 15013588 15262432 15519664 16589600 16869200 18525350 18766985 19078040 19399580 23712448 23847550 24249475 25774400 29640560 30027176 30524864 31039328 33179200 33738400 37050700 37533970 38156080 38799160 47695100 48498950 59281120 60054352 62078656 67476800 74101400 75067940 76312160 77598320 86328131 93834925 95390200 96997900 118562240 120108704 148202800 150135880 152624320 155196640 172656262 187669850 190780400 193995800 240217408 296405600 300271760 310393280 345312524 375339700 381560800 387991600 431640655 592811200 600543520 690625048 750679400 763121600 775983200 863281310 1201087040 1381250096 1501358800 1551966400 1726562620 2158203275 2762500192 3002717600 3453125240 4316406550 5525000384 6005435200 6906250480 8632813100 13812500960 17265626200 27625001920 34531252400 69062504800 138125009600
- Sum of all divisors σ(n): 362164944960
- Sum of proper divisors (its aliquot sum) s(n): 224039935360
- 138125009600 is an abundant number, because the sum of its proper divisors (224039935360) is greater than itself. Its abundance is 85914925760
Bases of 138125009600
- Binary: 100000001010001110010001100010110000002
- Hexadecimal: 0x2028E462C0
- Base-36: 1RGC2BI8
Squares and roots of 138125009600
- 138125009600 squared (1381250096002) is 19078518277000092160000
- 138125009600 cubed (1381250096003) is 2635220520164413188800884736000000
-
The
square root of 138125009600 is 371651.7315982801 -
The
cube root of 138125009600 is 5169.2091818299
Scales and comparisons
How big is 138125009600?- 138,125,009,600 seconds is equal to 4,391 years, 49 weeks, 2 days, 2 hours, 13 minutes, 20 seconds.
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To count from 1 to 138,125,009,600 would take you about eight thousand, seven hundred eighty-three 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 138125009600 cubic inches would be around 430.8 feet tall.
Recreational maths with 138125009600
- 138125009600 backwards is 006900521831
- The number of decimal digits it has is: 12
- The sum of 138125009600's digits is 35
- More coming soon!
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