138645398400
138,645,398,400 is an even composite number composed of five prime numbers multiplied together.
138645398400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 138645398400:
27 × 3 × 52 × 233 × 1187
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 23 × 23 × 23 × 1187)See below for interesting mathematical facts about the number 138645398400 from the Numbermatics database.
Names of 138645398400
- Cardinal: 138645398400 can be written as One hundred thirty-eight billion, six hundred forty-five million, three hundred ninety-eight thousand, four hundred.
Scientific notation
- Scientific notation: 1.386453984 × 1011
Factors of 138645398400
Divisors of 138645398400
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 23 24 25 30 32 40 46 48 50 60 64 69 75 80 92 96 100 115 120 128 138 150 160 184 192 200 230 240 276 300 320 345 368 384 400 460 480 529 552 575 600 640 690 736 800 920 960 1058 1104 1150 1187 1200 1380 1472 1587 1600 1725 1840 1920 2116 2208 2300 2374 2400 2645 2760 2944 3174 3200 3450 3561 3680 4232 4416 4600 4748 4800 5290 5520 5935 6348 6900 7122 7360 7935 8464 8832 9200 9496 9600 10580 11040 11870 12167 12696 13225 13800 14244 14720 15870 16928 17805 18400 18992 21160 22080 23740 24334 25392 26450 27301 27600 28488 29675 31740 33856 35610 36501 36800 37984 39675 42320 44160 47480 48668 50784 52900 54602 55200 56976 59350 60835 63480 67712 71220 73002 73600 75968 79350 81903 84640 89025 94960 97336 101568 105800 109204 110400 113952 118700 121670 126960 136505 142440 146004 151936 158700 163806 169280 178050 182505 189920 194672 203136 211600 218408 220800 227904 237400 243340 253920 273010 284880 292008 304175 317400 327612 338560 356100 365010 379840 389344 409515 423200 436816 455808 474800 486680 507840 546020 569760 584016 608350 627923 634800 655224 682525 712200 730020 759680 778688 819030 846400 873632 912525 949600 973360 1015680 1092040 1139520 1168032 1216700 1255846 1269600 1310448 1365050 1424400 1460040 1557376 1638060 1692800 1747264 1825050 1883769 1899200 1946720 2047575 2184080 2279040 2336064 2433400 2511692 2539200 2620896 2730100 2848800 2920080 3139615 3276120 3494528 3650100 3767538 3798400 3893440 4095150 4368160 4672128 4866800 5023384 5078400 5241792 5460200 5697600 5840160 6279230 6552240 7300200 7535076 7786880 8190300 8736320 9418845 9733600 10046768 10483584 10920400 11395200 11680320 12558460 13104480 14442229 14600400 15070152 15698075 16380600 17472640 18837690 19467200 20093536 21840800 23360640 25116920 26208960 28884458 29200800 30140304 31396150 32761200 37675380 38934400 40187072 43326687 43681600 47094225 50233840 52417920 57768916 58401600 60280608 62792300 65522400 72211145 75350760 80374144 86653374 87363200 94188450 100467680 115537832 116803200 120561216 125584600 131044800 144422290 150701520 173306748 188376900 200935360 216633435 231075664 241122432 251169200 262089600 288844580 301403040 346613496 361055725 376753800 401870720 433266870 462151328 502338400 577689160 602806080 693226992 722111450 753507600 866533740 924302656 1004676800 1083167175 1155378320 1205612160 1386453984 1444222900 1507015200 1733067480 1848605312 2009353600 2166334350 2310756640 2772907968 2888445800 3014030400 3466134960 4332668700 4621513280 5545815936 5776891600 6028060800 6932269920 8665337400 9243026560 11553783200 13864539840 17330674800 23107566400 27729079680 34661349600 46215132800 69322699200 138645398400
- Sum of all divisors σ(n): 477821203200
- Sum of proper divisors (its aliquot sum) s(n): 339175804800
- 138645398400 is an abundant number, because the sum of its proper divisors (339175804800) is greater than itself. Its abundance is 200530406400
Bases of 138645398400
- Binary: 100000010001111110100011100011100000002
- Hexadecimal: 0x2047E8E380
- Base-36: 1ROXW22O
Squares and roots of 138645398400
- 138645398400 squared (1386453984002) is 19222546497494722560000
- 138645398400 cubed (1386453984003) is 2665117617407680411228667904000000
-
The
square root of 138645398400 is 372351.1761764691 -
The
cube root of 138645398400 is 5175.6927467681
Scales and comparisons
How big is 138645398400?- 138,645,398,400 seconds is equal to 4,408 years, 25 weeks, 5 days, 2 hours, 40 minutes.
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To count from 1 to 138,645,398,400 would take you about eight thousand, eight hundred sixteen 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 138645398400 cubic inches would be around 431.3 feet tall.
Recreational maths with 138645398400
- 138645398400 backwards is 004893546831
- The number of decimal digits it has is: 12
- The sum of 138645398400's digits is 51
- More coming soon!
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