85354431926400
85,354,431,926,400 is an even composite number composed of eight prime numbers multiplied together.
What does the number 85354431926400 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 2304 divisors.
85354431926400 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 85354431926400:
27 × 32 × 52 × 7 × 13 × 61 × 331 × 1613
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 7 × 13 × 61 × 331 × 1613)See below for interesting mathematical facts about the number 85354431926400 from the Numbermatics database.
Names of 85354431926400
- Cardinal: 85354431926400 can be written as Eighty-five trillion, three hundred fifty-four billion, four hundred thirty-one million, nine hundred twenty-six thousand, four hundred.
Scientific notation
- Scientific notation: 8.53544319264 × 1013
Factors of 85354431926400
Divisors of 85354431926400
- Number of divisors d(n): 2304
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 25 26 28 30 32 35 36 39 40 42 45 48 50 52 56 60 61 63 64 65 70 72 75 78 80 84 90 91 96 100 104 105 112 117 120 122 126 128 130 140 144 150 156 160 168 175 180 182 183 192 195 200 208 210 224 225 234 240 244 252 260 273 280 288 300 305 312 315 320 325 331 336 350 360 364 366 384 390 400 416 420 427 448 450 455 468 480 488 504 520 525 546 549 560 576 585 600 610 624 630 640 650 662 672 700 720 728 732 780 793 800 819 832 840 854 896 900 910 915 936 960 975 976 993 1008 1040 1050 1092 1098 1120 1152 1170 1200 1220 1248 1260 1281 1300 1324 1344 1365 1400 1440 1456 1464 1525 1560 1575 1586 1600 1613 1638 1655 1664 1680 1708 1800 1820 1830 1872 1920 1950 1952 1986 2016 2080 2100 2135 2184 2196 2240 2275 2317 2340 2379 2400 2440 2496 2520 2562 2600 2648 2688 2730 2745 2800 2880 2912 2925 2928 2979 3050 3120 3150 3172 3200 3226 3276 3310 3360 3416 3600 3640 3660 3744 3843 3900 3904 3965 3972 4032 4095 4160 4200 4270 4303 4368 4392 4480 4550 4575 4634 4680 4758 4800 4839 4880 4965 4992 5040 5124 5200 5296 5460 5490 5551 5600 5760 5824 5850 5856 5958 6100 6240 6300 6344 6405 6452 6552 6620 6720 6825 6832 6951 7137 7200 7280 7320 7488 7686 7800 7808 7930 7944 8064 8065 8190 8275 8320 8400 8540 8606 8736 8784 9100 9150 9268 9360 9516 9600 9678 9760 9930 10080 10248 10400 10592 10675 10920 10980 11102 11200 11291 11585 11648 11700 11712 11895 11916 12200 12480 12600 12688 12810 12904 12909 13104 13240 13440 13650 13664 13725 13902 14274 14400 14517 14560 14640 14895 14976 15372 15600 15860 15888 16130 16380 16550 16653 16800 17080 17212 17472 17568 18200 18300 18536 18720 19032 19215 19356 19520 19825 19860 20160 20191 20475 20496 20800 20853 20969 21184 21350 21515 21840 21960 22204 22400 22582 23170 23400 23424 23790 23832 24195 24400 24825 24960 25200 25376 25620 25808 25818 26208 26480 27300 27328 27450 27755 27804 28548 28800 29034 29120 29280 29790 30121 30744 31200 31720 31776 32025 32260 32760 33100 33306 33600 33873 34160 34424 34755 34944 35136 35685 36400 36600 37072 37440 38064 38430 38712 38727 39040 39650 39720 40320 40325 40382 40950 40992 41600 41706 41938 42368 42700 43030 43680 43920 44408 45164 46340 46800 47580 47664 48390 48800 49650 49959 50400 50752 51240 51616 51636 52416 52960 54600 54656 54900 55510 55608 56455 57096 57925 58068 58240 58560 59475 59580 60242 60573 61488 62400 62907 63440 63552 64050 64520 64545 65520 66200 66612 67200 67746 68320 68848 69510 70272 71370 72585 72800 73200 74144 74475 74880 76128 76860 77424 77454 79300 79440 80650 80764 81900 81984 83265 83412 83876 85400 86060 87360 87840 88816 90328 90363 92680 93600 95160 95328 96075 96780 97600 98393 99300 99918 100800 100955 101504 101619 102480 103232 103272 104265 104832 104845 105920 107575 109200 109800 111020 111216 112910 114192 115850 116136 117120 118950 119160 120484 120975 121146 122976 124800 125814 126880 127104 128100 129040 129090 131040 132400 133224 135492 136640 137696 138775 139020 141337 142740 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148184777650 152418628440 155472553600 156326798400 162579870336 164143138320 169354031600 174906622800 177821733180 182381264800 187592158080 189676515392 190523285550 199893283200 203224837920 205178922900 213386079816 218857517760 222277166475 233208830400 234490197600 237095644240 243869805504 254031047400 257868374400 262629021312 266732599770 270966450560 273571897200 279850596480 284514773088 296369555300 304837256880 312653596800 328286276640 338708063200 349813245600 355643466360 364762529600 379353030784 381046571100 406449675840 410357845800 426772159632 437715035520 444554332950 466417660800 468980395200 474191288480 487739611008 508062094800 533465199540 547143794400 569029546176 592739110600 609674513760 656572553280 666831499425 677416126400 699626491200 711286932720 729525059200 762093142200 812899351680 820715691600 853544319264 889108665900 937960790400 948382576960 1016124189600 1066930399080 1094287588800 1138059092352 1185478221200 1219349027520 1313145106560 1333662998850 1354832252800 1399252982400 1422573865440 1524186284400 1641431383200 1707088638528 1778217331800 1896765153920 2032248379200 2133860798160 2188575177600 2370956442400 2438698055040 2667325997700 2845147730880 3048372568800 3282862766400 3414177277056 3556434663600 4064496758400 4267721596320 4741912884800 5334651995400 5690295461760 6096745137600 6565725532800 7112869327200 8535443192640 9483825769600 10669303990800 12193490275200 14225738654400 17070886385280 21338607981600 28451477308800 42677215963200 85354431926400
- Sum of all divisors σ(n): 382381218535680
- Sum of proper divisors (its aliquot sum) s(n): 297026786609280
- 85354431926400 is an abundant number, because the sum of its proper divisors (297026786609280) is greater than itself. Its abundance is 211672354682880
Bases of 85354431926400
- Binary: 100110110100001001000001001100001010000100000002
- Hexadecimal: 0x4DA120985080
- Base-36: U97A8ZDS0
Squares and roots of 85354431926400
- 85354431926400 squared (853544319264002) is 7285379049478451615016960000
- 85354431926400 cubed (853544319264003) is 621839390136729235797641252301471744000000
-
The
square root of 85354431926400 is 9238746.2313021673 -
The
cube root of 85354431926400 is 44029.3247914351
Scales and comparisons
How big is 85354431926400?- 85,354,431,926,400 seconds is equal to 2,714,006 years, 47 weeks, 4 days, 16 hours.
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To count from 1 to 85,354,431,926,400 would take you about six million, seven hundred eighty-five thousand and seventeen 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 85354431926400 cubic inches would be around 3669.1 feet tall.
Recreational maths with 85354431926400
- 85354431926400 backwards is 00462913445358
- The number of decimal digits it has is: 14
- The sum of 85354431926400's digits is 54
- More coming soon!
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The information we have on file for 85354431926400 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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