10133631200
10,133,631,200 is an even composite number composed of six prime numbers multiplied together.
10133631200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 10133631200:
25 × 52 × 72 × 11 × 71 × 331
(2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 11 × 71 × 331)See below for interesting mathematical facts about the number 10133631200 from the Numbermatics database.
Names of 10133631200
- Cardinal: 10133631200 can be written as Ten billion, one hundred thirty-three million, six hundred thirty-one thousand, two hundred.
Scientific notation
- Scientific notation: 1.01336312 × 1010
Factors of 10133631200
Divisors of 10133631200
- Number of divisors d(n): 432
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Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 20 22 25 28 32 35 40 44 49 50 55 56 70 71 77 80 88 98 100 110 112 140 142 154 160 175 176 196 200 220 224 245 275 280 284 308 331 350 352 355 385 392 400 440 490 497 539 550 560 568 616 662 700 710 770 781 784 800 880 980 994 1078 1100 1120 1136 1225 1232 1324 1400 1420 1540 1562 1568 1655 1760 1775 1925 1960 1988 2156 2200 2272 2317 2450 2464 2485 2648 2695 2800 2840 3080 3124 3310 3479 3550 3641 3850 3905 3920 3976 4312 4400 4634 4900 4970 5296 5390 5467 5600 5680 6160 6248 6620 6958 7100 7282 7700 7810 7840 7952 8275 8624 8800 9268 9800 9940 10592 10780 10934 11360 11585 12320 12425 12496 13240 13475 13916 14200 14564 15400 15620 15904 16219 16550 17248 17395 18205 18536 19525 19600 19880 21560 21868 23170 23501 24850 24992 25487 26480 26950 27335 27832 28400 29128 30800 31240 32438 33100 34790 36410 37072 38269 39050 39200 39760 43120 43736 46340 47002 49700 50974 52960 53900 54670 55664 56800 57925 58256 61600 62480 64876 66200 69580 72820 74144 76538 78100 79520 81095 86240 86975 87472 91025 92680 94004 99400 101948 107800 109340 111328 115850 116512 117505 124960 127435 129752 132400 136675 139160 145640 153076 156200 162190 164507 173950 174944 178409 182050 185360 188008 191345 198800 203896 215600 218680 231700 235010 254870 258511 259504 264800 273350 278320 291280 306152 312400 324380 329014 347900 356818 364100 370720 376016 382690 397600 405475 407792 431200 437360 463400 470020 509740 517022 519008 546700 556640 582560 587525 612304 624800 637175 648760 658028 695800 713636 728200 752032 765380 810950 815584 822535 874720 892045 926800 940040 956725 1019480 1034044 1093400 1151549 1175050 1224608 1274350 1292555 1297520 1316056 1391600 1427272 1456400 1530760 1621900 1645070 1784090 1809577 1853600 1880080 1913450 2038960 2068088 2186800 2303098 2350100 2548700 2585110 2595040 2632112 2783200 2854544 2912800 3061520 3243800 3290140 3568180 3619154 3760160 3826900 4077920 4112675 4136176 4373600 4460225 4606196 4700200 5097400 5170220 5264224 5709088 5757745 6123040 6462775 6487600 6580280 7136360 7238308 7653800 8225350 8272352 8920450 9047885 9212392 9400400 10194800 10340440 11515490 12667039 12925550 12975200 13160560 14272720 14476616 15307600 16450700 17840900 18095770 18424784 18800800 20389600 20680880 23030980 25334078 25851100 26321120 28545440 28788725 28953232 30615200 32901400 35681800 36191540 36849568 41361760 45239425 46061960 50668156 51702200 57577450 57906464 63335195 65802800 71363600 72383080 90478850 92123920 101336312 103404400 115154900 126670390 131605600 142727200 144766160 180957700 184247840 202672624 206808800 230309800 253340780 289532320 316675975 361915400 405345248 460619600 506681560 633351950 723830800 921239200 1013363120 1266703900 1447661600 2026726240 2533407800 5066815600 10133631200
- Sum of all divisors σ(n): 31932206208
- Sum of proper divisors (its aliquot sum) s(n): 21798575008
- 10133631200 is an abundant number, because the sum of its proper divisors (21798575008) is greater than itself. Its abundance is 11664943808
Bases of 10133631200
- Binary: 10010111000000001011110000111000002
- Hexadecimal: 0x25C02F0E0
- Base-36: 4NLAVVK
Squares and roots of 10133631200
- 10133631200 squared (101336312002) is 102690481297613440000
- 10133631200 cubed (101336312003) is 1040627465220512041123328000000
-
The
square root of 10133631200 is 100665.9386287139 -
The
cube root of 10133631200 is 2163.9889139257
Scales and comparisons
How big is 10133631200?- 10,133,631,200 seconds is equal to 322 years, 11 weeks, 2 days, 9 hours, 33 minutes, 20 seconds.
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To count from 1 to 10,133,631,200 would take you about six hundred forty-four 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 10133631200 cubic inches would be around 180.3 feet tall.
Recreational maths with 10133631200
- 10133631200 backwards is 00213633101
- 10133631200 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 10133631200's digits is 20
- More coming soon!
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