138532066400
138,532,066,400 is an even composite number composed of six prime numbers multiplied together.
138532066400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 138532066400:
25 × 52 × 7 × 13 × 1093 × 1741
(2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 13 × 1093 × 1741)See below for interesting mathematical facts about the number 138532066400 from the Numbermatics database.
Names of 138532066400
- Cardinal: 138532066400 can be written as One hundred thirty-eight billion, five hundred thirty-two million, sixty-six thousand, four hundred.
Scientific notation
- Scientific notation: 1.385320664 × 1011
Factors of 138532066400
Divisors of 138532066400
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 25 26 28 32 35 40 50 52 56 65 70 80 91 100 104 112 130 140 160 175 182 200 208 224 260 280 325 350 364 400 416 455 520 560 650 700 728 800 910 1040 1093 1120 1300 1400 1456 1741 1820 2080 2186 2275 2600 2800 2912 3482 3640 4372 4550 5200 5465 5600 6964 7280 7651 8705 8744 9100 10400 10930 12187 13928 14209 14560 15302 17410 17488 18200 21860 22633 24374 27325 27856 28418 30604 34820 34976 36400 38255 43525 43720 45266 48748 54650 55712 56836 60935 61208 69640 71045 72800 76510 87050 87440 90532 97496 99463 109300 113165 113672 121870 122416 139280 142090 153020 158431 174100 174880 181064 191275 194992 198926 218600 226330 227344 243740 244832 278560 284180 304675 306040 316862 348200 355225 362128 382550 389984 397852 437200 452660 454688 487480 497315 565825 568360 609350 612080 633724 696400 710450 724256 765100 792155 795704 874400 905320 974960 994630 1131650 1136720 1218700 1224160 1267448 1392800 1420900 1530200 1584310 1591408 1810640 1902913 1949920 1989260 2263300 2273440 2437400 2486575 2534896 2841800 3060400 3168620 3182816 3621280 3805826 3960775 3978520 4526600 4874800 4973150 5069792 5683600 6120800 6337240 7611652 7921550 7957040 9053200 9514565 9749600 9946300 11367200 12674480 13320391 15223304 15843100 15914080 18106400 19029130 19892600 24737869 25348960 26640782 30446608 31686200 38058260 39785200 47572825 49475738 53281564 60893216 63372400 66601955 76116520 79570400 95145650 98951476 106563128 123689345 126744800 133203910 152233040 173165083 190291300 197902952 213126256 247378690 266407820 304466080 333009775 346330166 380582600 395805904 426252512 494757380 532815640 618446725 666019550 692660332 761165200 791611808 865825415 989514760 1065631280 1236893450 1332039100 1385320664 1522330400 1731650830 1979029520 2131262560 2473786900 2664078200 2770641328 3463301660 3958059040 4329127075 4947573800 5328156400 5541282656 6926603320 8658254150 9895147600 10656312800 13853206640 17316508300 19790295200 27706413280 34633016600 69266033200 138532066400
- Sum of all divisors σ(n): 416855694528
- Sum of proper divisors (its aliquot sum) s(n): 278323628128
- 138532066400 is an abundant number, because the sum of its proper divisors (278323628128) is greater than itself. Its abundance is 139791561728
Bases of 138532066400
- Binary: 100000010000010010011110010100011000002
- Hexadecimal: 0x2041279460
- Base-36: 1RN2EYJK
Squares and roots of 138532066400
- 138532066400 squared (1385320664002) is 19191133421054008960000
- 138532066400 cubed (1385320664003) is 2658587369376713127232914944000000
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The
square root of 138532066400 is 372198.9607723267 -
The
cube root of 138532066400 is 5174.2821181295
Scales and comparisons
How big is 138532066400?- 138,532,066,400 seconds is equal to 4,404 years, 46 weeks, 2 days, 9 hours, 33 minutes, 20 seconds.
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To count from 1 to 138,532,066,400 would take you about eight thousand, eight hundred nine 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 138532066400 cubic inches would be around 431.2 feet tall.
Recreational maths with 138532066400
- 138532066400 backwards is 004660235831
- The number of decimal digits it has is: 12
- The sum of 138532066400's digits is 38
- More coming soon!
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