72428134094400
72,428,134,094,400 is an even composite number composed of seven prime numbers multiplied together.
72428134094400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand and sixteen divisors.
Prime factorization of 72428134094400:
26 × 3 × 52 × 73 × 192 × 31 × 3931
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 7 × 7 × 19 × 19 × 31 × 3931)See below for interesting mathematical facts about the number 72428134094400 from the Numbermatics database.
Names of 72428134094400
- Cardinal: 72428134094400 can be written as Seventy-two trillion, four hundred twenty-eight billion, one hundred thirty-four million, ninety-four thousand, four hundred.
Scientific notation
- Scientific notation: 7.24281340944 × 1013
Factors of 72428134094400
Divisors of 72428134094400
- Number of divisors d(n): 2016
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 19 20 21 24 25 28 30 31 32 35 38 40 42 48 49 50 56 57 60 62 64 70 75 76 80 84 93 95 96 98 100 105 112 114 120 124 133 140 147 150 152 155 160 168 175 186 190 192 196 200 210 217 224 228 240 245 248 266 280 285 294 300 304 310 320 336 343 350 361 372 380 392 399 400 420 434 448 456 465 475 480 490 496 525 532 560 570 588 589 600 608 620 651 665 672 686 700 722 735 744 760 775 784 798 800 840 868 912 930 931 950 960 980 992 1029 1050 1064 1083 1085 1120 1140 1176 1178 1200 1216 1225 1240 1302 1330 1344 1372 1400 1425 1444 1470 1488 1519 1520 1550 1568 1596 1600 1680 1715 1736 1767 1805 1824 1860 1862 1900 1960 1984 1995 2058 2100 2128 2166 2170 2240 2280 2325 2352 2356 2400 2450 2480 2527 2604 2660 2744 2793 2800 2850 2888 2940 2945 2976 3038 3040 3100 3136 3192 3255 3325 3360 3430 3472 3534 3610 3648 3675 3720 3724 3800 3920 3931 3990 4116 4123 4200 4256 4332 4340 4557 4560 4650 4655 4704 4712 4800 4900 4960 5054 5145 5208 5320 5415 5425 5488 5586 5600 5700 5776 5880 5890 5952 6076 6080 6200 6384 6510 6517 6650 6720 6860 6944 7068 7220 7350 7440 7448 7581 7595 7600 7840 7862 7980 8232 8246 8400 8512 8575 8664 8680 8835 9025 9114 9120 9300 9310 9408 9424 9800 9920 9975 10108 10290 10416 10633 10640 10830 10850 10976 11172 11191 11200 11400 11552 11760 11780 11793 12152 12369 12400 12635 12768 13020 13034 13300 13720 13888 13965 14136 14440 14700 14725 14880 14896 15162 15190 15200 15680 15724 15960 16275 16464 16492 16800 17150 17328 17360 17670 17689 18050 18228 18240 18600 18620 18848 19551 19600 19655 19950 20216 20580 20615 20832 21266 21280 21660 21700 21952 22344 22382 22785 22800 23104 23275 23520 23560 23586 24304 24738 24800 25270 25536 25725 26040 26068 26600 27075 27440 27517 27930 28272 28861 28880 29400 29450 29760 29792 30324 30380 30400 31448 31899 31920 32550 32585 32928 32984 33573 33600 34300 34656 34720 35340 35378 36100 36456 37200 37240 37696 37905 37975 39102 39200 39310 39900 40432 41160 41230 41664 42532 42560 43320 43400 44175 44688 44764 45570 45600 46550 47040 47120 47172 48608 49476 49600 50540 51450 52080 52136 53067 53165 53200 54150 54880 55034 55860 55955 56544 57722 57760 58800 58900 58965 59584 60648 60760 61845 62896 63175 63798 63840 65100 65170 65856 65968 67146 68600 69312 69440 69825 70680 70756 72200 72912 74400 74480 74689 75810 75950 78204 78337 78400 78620 79800 80864 82320 82460 82551 85064 86583 86640 86800 88350 88445 89376 89528 91140 91200 93100 94240 94344 97216 97755 98275 98952 101080 102900 103075 104160 104272 106134 106330 106400 108300 109760 110068 111720 111910 113088 113925 115444 115520 117600 117800 117930 121296 121520 121861 123690 123823 125792 126350 127596 127680 130200 130340 131936 134292 137200 137585 139650 141360 141512 144305 144400 145824 148800 148960 149378 151620 151900 156408 156674 157240 159495 159600 161728 162925 164640 164920 165102 167865 170128 173166 173280 173600 176700 176890 178752 179056 182280 186200 188480 188688 189525 192619 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4012639008 4094529600 4098932320 4172127540 4179832300 4223214816 4311198458 4391713200 4399182100 4450269376 4538103640 4606215600 4619141205 4765008822 4768145760 4776951200 4862253900 4867482130 4918718784 4927083952 5015798760 5123665400 5186404160 5215159425 5279018520 5445724368 5556861600 5562836720 5672629550 5732341440 5840978556 5855617600 5960182200 6141620800 6148398480 6158854940 6269748450 6353345096 6466797687 6471998400 6483005200 6598773150 6675404064 6687731680 6807155460 6811636800 6953545900 7038691360 7165426800 7260965824 7301223195 7390625928 7685498100 7698568675 7779606240 7787971408 7941681370 7946909600 8025278016 8197864640 8344255080 8359664600 8446429632 8508944325 8622396916 8783426400 8798364200 9076207280 9212431200 9238282410 9530017644 9536291520 9553902400 9724507800 9734964260 9854167904 10031597520 10247330800 10430318850 10558037040 10777996145 10891448736 11113723200 11125673440 11345259100 11681957112 11912522055 11920364400 12168705325 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43111984580 45267583809 45381036400 46191412050 46727828448 47650088220 47681457600 48674821300 49270839520 50157987600 50826760768 51734381496 52790185200 53889980725 54457243680 55628367200 58409785560 59125007424 59562610275 60356778412 61483984800 61588549400 63533450960 64667976870 66754040640 66877316800 68071554600 68979175328 70386913600 73012231950 73906259280 75445973015 76240141152 77796062400 77879714080 79416813700 83442550800 86223969160 90535167618 90762072800 92382824100 93455656896 95300176440 97349642600 98541679040 100315975200 103468762992 105580370400 107779961450 108914487360 111256734400 116819571120 119125220550 120713556824 122967969600 123177098800 127066901920 129335953740 136143109200 137958350656 146024463900 147812518560 150891946030 152480282304 155759428160 158833627400 161669942175 166885101600 172447938320 181070335236 181524145600 184765648200 190600352880 194699285200 200631950400 206937525984 211160740800 215559922900 226337919045 233639142240 238250441100 241427113648 246354197600 254133803840 258671907480 272286218400 292048927800 295625037120 301783892060 317667254800 323339884350 333770203200 344895876640 362140670472 369531296400 377229865075 381200705760 389398570400 413875051968 431119845800 452675838090 467278284480 476500882200 482854227296 492708395200 517343814960 544572436800 584097855600 603567784120 635334509600 646679768700 689791753280 724281340944 739062592800 754459730150 762401411520 778797140800 862239691600 905351676180 953001764400 965708454592 1034687629920 1131689595225 1168195711200 1207135568240 1270669019200 1293359537400 1448562681888 1478125185600 1508919460300 1724479383200 1810703352360 1906003528800 2069375259840 2263379190450 2336391422400 2414271136480 2586719074800 2897125363776 3017838920600 3448958766400 3621406704720 3812007057600 4526758380900 4828542272960 5173438149600 6035677841200 7242813409440 9053516761800 10346876299200 12071355682400 14485626818880 18107033523600 24142711364800 36214067047200 72428134094400
- Sum of all divisors σ(n): 301976996044800
- Sum of proper divisors (its aliquot sum) s(n): 229548861950400
- 72428134094400 is an abundant number, because the sum of its proper divisors (229548861950400) is greater than itself. Its abundance is 157120727856000
Bases of 72428134094400
- Binary: 100000111011111011111010011010001010110010000002
- Hexadecimal: 0x41DF7D345640
- Base-36: PO90X011C
Squares and roots of 72428134094400
- 72428134094400 squared (724281340944002) is 5245834608396387708111360000
- 72428134094400 cubed (724281340944003) is 379946012453977881071661468647952384000000
-
The
square root of 72428134094400 is 8510472.0253579355 -
The
cube root of 72428134094400 is 41683.9723352397
Scales and comparisons
How big is 72428134094400?- 72,428,134,094,400 seconds is equal to 2,302,990 years, 32 weeks, 5 days, 1 hour, 20 minutes.
-
To count from 1 to 72,428,134,094,400 would take you about five million, seven hundred fifty-seven thousand, four hundred seventy-six 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 72428134094400 cubic inches would be around 3473.7 feet tall.
Recreational maths with 72428134094400
- 72428134094400 backwards is 00449043182427
- 72428134094400 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 72428134094400's digits is 48
- More coming soon!
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"Number 72428134094400 - Facts about the integer". Numbermatics.com. 2024. Web. 27 May 2024.
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Numbermatics. (2024). Number 72428134094400 - Facts about the integer. Retrieved 27 May 2024, from https://numbermatics.com/n/72428134094400/
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The information we have on file for 72428134094400 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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