21372282422400
21,372,282,422,400 is an even composite number composed of seven prime numbers multiplied together.
What does the number 21372282422400 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2304 divisors.
21372282422400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 21372282422400:
27 × 3 × 52 × 7 × 133 × 192 × 401
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 13 × 13 × 13 × 19 × 19 × 401)See below for interesting mathematical facts about the number 21372282422400 from the Numbermatics database.
Names of 21372282422400
- Cardinal: 21372282422400 can be written as Twenty-one trillion, three hundred seventy-two billion, two hundred eighty-two million, four hundred twenty-two thousand, four hundred.
Scientific notation
- Scientific notation: 2.13722824224 × 1013
Factors of 21372282422400
Divisors of 21372282422400
- Number of divisors d(n): 2304
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 19 20 21 24 25 26 28 30 32 35 38 39 40 42 48 50 52 56 57 60 64 65 70 75 76 78 80 84 91 95 96 100 104 105 112 114 120 128 130 133 140 150 152 156 160 168 169 175 182 190 192 195 200 208 210 224 228 240 247 260 266 273 280 285 300 304 312 320 325 336 338 350 361 364 380 384 390 399 400 401 416 420 448 455 456 475 480 494 507 520 525 532 546 560 570 600 608 624 640 650 665 672 676 700 722 728 741 760 780 798 800 802 832 840 845 896 910 912 950 960 975 988 1014 1040 1050 1064 1083 1092 1120 1140 1183 1200 1203 1216 1235 1248 1300 1330 1344 1352 1365 1400 1425 1444 1456 1482 1520 1560 1596 1600 1604 1664 1680 1690 1729 1805 1820 1824 1900 1920 1950 1976 1995 2005 2028 2080 2100 2128 2166 2184 2197 2240 2275 2280 2366 2400 2406 2432 2470 2496 2527 2535 2600 2660 2688 2704 2730 2800 2807 2850 2888 2912 2964 3040 3120 3192 3200 3208 3211 3325 3360 3380 3458 3549 3610 3640 3648 3705 3800 3900 3952 3990 4010 4056 4160 4200 4225 4256 4332 4368 4394 4480 4550 4560 4693 4732 4800 4812 4940 4992 5054 5070 5187 5200 5213 5320 5408 5415 5460 5600 5614 5700 5776 5824 5915 5928 6015 6080 6175 6240 6384 6416 6422 6591 6650 6720 6760 6825 6916 7098 7220 7280 7296 7410 7581 7600 7619 7800 7904 7980 8020 8112 8320 8400 8421 8450 8512 8645 8664 8736 8788 9025 9100 9120 9386 9464 9600 9624 9633 9880 9975 10025 10108 10140 10374 10400 10426 10640 10816 10830 10920 10985 11200 11228 11400 11552 11648 11830 11856 12030 12160 12350 12480 12635 12675 12768 12832 12844 13182 13300 13440 13520 13650 13832 14035 14079 14196 14440 14560 14820 15162 15200 15238 15379 15600 15639 15808 15960 16040 16055 16224 16800 16842 16900 17024 17290 17328 17472 17576 17745 18050 18200 18240 18525 18772 18928 19248 19266 19760 19950 20050 20216 20280 20748 20800 20852 21280 21632 21660 21840 21970 22400 22456 22477 22800 22857 23104 23465 23660 23712 24060 24700 24960 25270 25350 25536 25664 25688 25935 26065 26364 26600 27040 27075 27300 27664 28070 28158 28392 28880 29120 29575 29640 30075 30324 30400 30476 30758 31200 31278 31616 31920 32080 32110 32448 32851 32955 33600 33684 33800 34580 34656 34944 35152 35490 36100 36400 36480 36491 37050 37544 37856 37905 38095 38496 38532 39520 39900 40100 40432 40560 41496 41600 41704 41743 42105 42560 43225 43320 43680 43940 44912 44954 45600 45714 46137 46208 46930 47320 47424 48120 48165 49400 50540 50700 51072 51328 51376 51870 52130 52728 53200 53333 54080 54150 54600 54925 55328 56140 56316 56784 57760 58240 59150 59280 60150 60648 60800 60952 61009 61516 62400 62556 63175 63840 64160 64220 64896 65702 65910 67200 67368 67431 67600 67769 69160 69312 70175 70304 70395 70980 72200 72800 72982 74100 75088 75712 75810 76190 76895 76992 77064 78195 79040 79800 80200 80275 80864 81120 82992 83408 83486 84210 85120 86450 86640 87360 87880 88725 89824 89908 91200 91428 92274 93860 94640 94848 96240 96330 98553 98800 99047 101080 101400 102752 103740 104260 105456 106400 106666 108160 108300 109200 109473 109850 110656 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- Sum of all divisors σ(n): 92210385657600
- Sum of proper divisors (its aliquot sum) s(n): 70838103235200
- 21372282422400 is an abundant number, because the sum of its proper divisors (70838103235200) is greater than itself. Its abundance is 49465820812800
Bases of 21372282422400
- Binary: 1001101110000000111110100110101000100100000002
- Hexadecimal: 0x13701F4D4480
- Base-36: 7KQAH4Z9C
Squares and roots of 21372282422400
- 21372282422400 squared (213722824224002) is 456774455942828012021760000
- 21372282422400 cubed (213722824224003) is 9762312675748226340678997134311424000000
-
The
square root of 21372282422400 is 4623016.5933511421 -
The
cube root of 21372282422400 is 27751.3193312187
Scales and comparisons
How big is 21372282422400?- 21,372,282,422,400 seconds is equal to 679,572 years, 24 weeks, 3 days, 21 hours, 20 minutes.
-
To count from 1 to 21,372,282,422,400 would take you about one million, six hundred ninety-eight thousand, nine hundred thirty-one 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 21372282422400 cubic inches would be around 2312.6 feet tall.
Recreational maths with 21372282422400
- 21372282422400 backwards is 00422428227312
- 21372282422400 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 21372282422400's digits is 39
- More coming soon!
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"Number 21372282422400 - Facts about the integer". Numbermatics.com. 2024. Web. 24 June 2024.
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Numbermatics. (2024). Number 21372282422400 - Facts about the integer. Retrieved 24 June 2024, from https://numbermatics.com/n/21372282422400/
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Numbermatics. 2024. "Number 21372282422400 - Facts about the integer". https://numbermatics.com/n/21372282422400/
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