34138020480
34,138,020,480 is an even composite number composed of seven prime numbers multiplied together.
34138020480 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 34138020480:
27 × 3 × 5 × 19 × 232 × 29 × 61
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 19 × 23 × 23 × 29 × 61)See below for interesting mathematical facts about the number 34138020480 from the Numbermatics database.
Names of 34138020480
- Cardinal: 34138020480 can be written as Thirty-four billion, one hundred thirty-eight million, twenty thousand, four hundred eighty.
Scientific notation
- Scientific notation: 3.413802048 × 1010
Factors of 34138020480
Divisors of 34138020480
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 19 20 23 24 29 30 32 38 40 46 48 57 58 60 61 64 69 76 80 87 92 95 96 114 115 116 120 122 128 138 145 152 160 174 183 184 190 192 228 230 232 240 244 276 285 290 304 305 320 345 348 366 368 380 384 435 437 456 460 464 480 488 529 551 552 570 580 608 610 640 667 690 696 732 736 760 870 874 912 915 920 928 960 976 1058 1102 1104 1140 1159 1160 1216 1220 1311 1334 1380 1392 1403 1464 1472 1520 1587 1653 1740 1748 1769 1824 1830 1840 1856 1920 1952 2001 2116 2185 2204 2208 2280 2318 2320 2432 2440 2622 2645 2668 2755 2760 2784 2806 2928 2944 3040 3174 3306 3335 3477 3480 3496 3538 3648 3660 3680 3712 3904 4002 4209 4232 4370 4408 4416 4560 4636 4640 4880 5244 5290 5307 5336 5510 5520 5568 5612 5795 5856 6080 6348 6555 6612 6670 6954 6960 6992 7015 7076 7296 7320 7360 7808 7935 8004 8265 8418 8464 8740 8816 8832 8845 9120 9272 9280 9760 10005 10051 10488 10580 10614 10672 11020 11040 11136 11224 11590 11712 12160 12673 12696 13110 13224 13340 13908 13920 13984 14030 14152 14640 14720 15341 15870 16008 16530 16836 16928 17385 17480 17632 17690 18240 18544 18560 19520 20010 20102 20976 21045 21160 21228 21344 22040 22080 22448 23180 23424 25346 25392 26220 26448 26535 26657 26680 27816 27840 27968 28060 28304 29280 30153 30682 31740 32016 32269 33060 33611 33672 33856 34770 34960 35264 35380 36480 37088 38019 39040 40020 40204 40687 41952 42090 42320 42456 42688 44080 44160 44896 46023 46360 50255 50692 50784 52440 52896 53070 53314 53360 55632 55680 55936 56120 56608 58560 60306 61364 63365 63480 64032 64538 66120 67222 67344 67712 69540 69920 70528 70760 74176 76038 76705 79971 80040 80408 81374 83904 84180 84640 84912 85376 88160 89792 92046 92720 96807 100510 100833 101384 101568 104880 105792 106140 106628 106720 111264 112240 113216 117120 120612 122061 122728 126730 126960 128064 129076 132240 133285 134444 134688 139080 139840 141520 148352 150765 152076 153410 159942 160080 160816 161345 162748 167808 168055 168360 169280 169824 176320 179584 184092 185440 190095 193614 201020 201666 202768 203136 203435 209760 211584 212280 213256 213440 222528 224480 226432 230115 241224 244122 245456 253460 253920 256128 258152 264480 266570 268888 269376 278160 279680 283040 291479 301530 304152 306820 319884 320160 321632 322690 325496 336110 336720 338560 339648 352640 368184 370880 380190 387228 399855 402040 403332 405536 406870 419520 424560 426512 426880 445056 448960 460230 482448 484035 488244 490912 504165 506920 507840 516304 528960 533140 537776 538752 556320 566080 582958 603060 608304 610305 613111 613640 639768 640320 643264 645380 650992 672220 673440 679296 736368 741760 760380 773053 774456 799710 804080 806664 811072 813740 839040 849120 853024 874437 897920 920460 935801 964896 968070 976488 981824 1008330 1013840 1015680 1032608 1057920 1066280 1075552 1112640 1132160 1165916 1206120 1216608 1220610 1226222 1227280 1279536 1280640 1286528 1290760 1301984 1344440 1346880 1457395 1472736 1520760 1546106 1548912 1599420 1608160 1613328 1622144 1627480 1698240 1706048 1748874 1839333 1840920 1871602 1929792 1936140 1952976 1963648 2016660 2027680 2065216 2132560 2151104 2225280 2319159 2331832 2412240 2433216 2441220 2452444 2454560 2559072 2581520 2603968 2688880 2693760 2807403 2914790 2945472 3041520 3065555 3092212 3097824 3198840 3216320 3226656 3254960 3396480 3412096 3497748 3678666 3681840 3743204 3859584 3865265 3872280 3905952 4033320 4055360 4130432 4265120 4302208 4372185 4638318 4663664 4679005 4824480 4866432 4882440 4904888 4909120 5118144 5163040 5207936 5377760 5614806 5829580 5890944 6083040 6131110 6184424 6195648 6397680 6432640 6453312 6509920 6995496 7357332 7363680 7486408 7730530 7744560 7811904 8066640 8110720 8530240 8744370 9196665 9276636 9327328 9358010 9648960 9764880 9809776 9818240 10236288 10326080 10755520 11229612 11595795 11659160 12166080 12262220 12368848 12391296 12795360 12906624 13019840 13990992 14037015 14714664 14727360 14972816 15461060 15489120 15623808 16133280 17060480 17488740 17780219 18393330 18553272 18654656 18716020 19297920 19529760 19619552 20652160 21511040 22459224 23191590 23318320 24332160 24524440 24737696 25590720 26039680 27981984 28074030 29429328 29454720 29945632 30922120 30978240 32266560 34977480 35560438 36786660 37106544 37309312 37432040 39059520 39239104 44918448 46383180 46636640 49048880 49475392 51181440 53340657 55963968 56148060 58858656 59891264 61844240 61956480 64533120 69954960 71120876 73573320 74213088 74864080 78119040 78478208 88901095 89836896 92766360 93273280 98097760 98950784 106681314 111927936 112296120 117717312 119782528 123688480 139909920 142241752 147146640 148426176 149728160 177802190 179673792 185532720 186546560 196195520 213362628 224592240 235434624 247376960 266703285 279819840 284483504 294293280 296852352 299456320 355604380 359347584 371065440 392391040 426725256 449184480 494753920 533406570 559639680 568967008 588586560 598912640 711208760 742130880 853450512 898368960 1066813140 1137934016 1177173120 1422417520 1484261760 1706901024 1796737920 2133626280 2275868032 2844835040 3413802048 4267252560 5689670080 6827604096 8534505120 11379340160 17069010240 34138020480
- Sum of all divisors σ(n): 125898192000
- Sum of proper divisors (its aliquot sum) s(n): 91760171520
- 34138020480 is an abundant number, because the sum of its proper divisors (91760171520) is greater than itself. Its abundance is 57622151040
Bases of 34138020480
- Binary: 111111100101100100011011010100000002
- Hexadecimal: 0x7F2C8DA80
- Base-36: FOKW96O
Squares and roots of 34138020480
- 34138020480 squared (341380204802) is 1165404442292899430400
- 34138020480 cubed (341380204803) is 39784600718477978913575534592000
-
The
square root of 34138020480 is 184764.7706680035 -
The
cube root of 34138020480 is 3243.9895375767
Scales and comparisons
How big is 34138020480?- 34,138,020,480 seconds is equal to 1,085 years, 25 weeks, 23 hours, 28 minutes.
-
To count from 1 to 34,138,020,480 would take you about two thousand, one hundred seventy 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 34138020480 cubic inches would be around 270.3 feet tall.
Recreational maths with 34138020480
- 34138020480 backwards is 08402083143
- The number of decimal digits it has is: 11
- The sum of 34138020480's digits is 33
- More coming soon!
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The information we have on file for 34138020480 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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