468493742080
468,493,742,080 is an even composite number composed of six prime numbers multiplied together.
468493742080 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six hundred twenty-four divisors.
Prime factorization of 468493742080:
212 × 5 × 7 × 132 × 61 × 317
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 13 × 13 × 61 × 317)See below for interesting mathematical facts about the number 468493742080 from the Numbermatics database.
Names of 468493742080
- Cardinal: 468493742080 can be written as Four hundred sixty-eight billion, four hundred ninety-three million, seven hundred forty-two thousand and eighty.
Scientific notation
- Scientific notation: 4.6849374208 × 1011
Factors of 468493742080
Divisors of 468493742080
- Number of divisors d(n): 624
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 52 56 61 64 65 70 80 91 104 112 122 128 130 140 160 169 182 208 224 244 256 260 280 305 317 320 338 364 416 427 448 455 488 512 520 560 610 634 640 676 728 793 832 845 854 896 910 976 1024 1040 1120 1183 1220 1268 1280 1352 1456 1585 1586 1664 1690 1708 1792 1820 1952 2048 2080 2135 2219 2240 2366 2440 2536 2560 2704 2912 3170 3172 3328 3380 3416 3584 3640 3904 3965 4096 4121 4160 4270 4438 4480 4732 4880 5072 5120 5408 5551 5824 5915 6340 6344 6656 6760 6832 7168 7280 7808 7930 8242 8320 8540 8876 8960 9464 9760 10144 10240 10309 10816 11095 11102 11648 11830 12680 12688 13312 13520 13664 14336 14560 15616 15860 16484 16640 17080 17752 17920 18928 19337 19520 20288 20480 20605 20618 21632 22190 22204 23296 23660 25360 25376 26624 27040 27328 27755 28672 28847 29120 31232 31720 32968 33280 34160 35504 35840 37856 38674 39040 40576 41210 41236 43264 44380 44408 46592 47320 50720 50752 51545 53248 53573 54080 54656 55510 57694 58240 62464 63440 65936 66560 68320 71008 71680 72163 75712 77348 78080 81152 82420 82472 86528 88760 88816 93184 94640 96685 101440 101504 103090 107146 108160 109312 111020 115388 116480 124928 126880 131872 133120 135359 136640 142016 143360 144235 144326 151424 154696 156160 162304 164840 164944 173056 177520 177632 186368 189280 193370 202880 203008 206180 214292 216320 218624 222040 230776 232960 249856 251381 253760 263744 266240 267865 270718 273280 284032 288470 288652 302848 309392 312320 324608 329680 329888 346112 355040 355264 360815 372736 375011 378560 386740 405760 406016 412360 428584 432640 437248 444080 461552 465920 502762 507520 527488 535730 541436 546560 568064 576940 577304 605696 618784 624640 649216 659360 659776 676795 692224 710080 710528 721630 750022 757120 773480 811520 812032 824720 857168 865280 874496 888160 923104 931840 1005524 1015040 1054976 1071460 1082872 1093120 1136128 1153880 1154608 1211392 1237568 1249280 1256905 1298432 1318720 1319552 1353590 1420160 1421056 1443260 1500044 1514240 1546960 1623040 1624064 1649440 1714336 1730560 1748992 1759667 1776320 1846208 1863680 1875055 2011048 2030080 2109952 2142920 2165744 2186240 2272256 2307760 2309216 2422784 2475136 2513810 2637440 2639104 2707180 2840320 2842112 2886520 3000088 3028480 3093920 3246080 3248128 3267953 3298880 3428672 3461120 3519334 3552640 3692416 3750110 4022096 4060160 4219904 4285840 4331488 4372480 4544512 4615520 4618432 4845568 4950272 5027620 5274880 5278208 5414360 5680640 5684224 5773040 6000176 6056960 6187840 6492160 6535906 6597760 6857344 7038668 7105280 7384832 7500220 8044192 8120320 8439808 8571680 8662976 8744960 8798335 9089024 9231040 9236864 9900544 10055240 10549760 10556416 10828720 11361280 11368448 11546080 12000352 12113920 12375680 13071812 13195520 13714688 14077336 14210560 14769664 15000440 16088384 16240640 16339765 16879616 17143360 17325952 17596670 18462080 18473728 19801088 20110480 21099520 21112832 21657440 22722560 22736896 22875671 23092160 24000704 24227840 24751360 26143624 26391040 27429376 28154672 28421120 29539328 30000880 32176768 32679530 34286720 34651904 35193340 36924160 36947456 39602176 40220960 42199040 42225664 43314880 45445120 45751342 46184320 48001408 49502720 52287248 52782080 54858752 56309344 56842240 59078656 60001760 64353536 65359060 68573440 69303808 70386680 73848320 73894912 79204352 80441920 84398080 86629760 91502684 92368640 96002816 99005440 104574496 105564160 109717504 112618688 113684480 114378355 118157312 120003520 128707072 130718120 137146880 138607616 140773360 147696640 147789824 160883840 173259520 183005368 184737280 192005632 198010880 209148992 211128320 219435008 225237376 228756710 240007040 257414144 261436240 274293760 277215232 281546720 295393280 295579648 321767680 346519040 366010736 369474560 384011264 396021760 418297984 450474752 457513420 480014080 514828288 522872480 548587520 554430464 563093440 590786560 643535360 693038080 732021472 738949120 768022528 836595968 900949504 915026840 960028160 1029656576 1045744960 1097175040 1126186880 1287070720 1386076160 1464042944 1477898240 1536045056 1673191936 1801899008 1830053680 1920056320 2091489920 2252373760 2574141440 2772152320 2928085888 3346383872 3603798016 3660107360 3840112640 4182979840 4504747520 5148282880 5856171776 6692767744 7207596032 7320214720 7680225280 8365959680 9009495040 11712343552 13385535488 14640429440 16731919360 18018990080 23424687104 29280858880 33463838720 36037980160 46849374208 58561717760 66927677440 93698748416 117123435520 234246871040 468493742080
- Sum of all divisors σ(n): 1418561152704
- Sum of proper divisors (its aliquot sum) s(n): 950067410624
- 468493742080 is an abundant number, because the sum of its proper divisors (950067410624) is greater than itself. Its abundance is 481573668544
Bases of 468493742080
- Binary: 1101101000101000110011100110000000000002
- Hexadecimal: 0x6D14673000
- Base-36: 5Z812SXS
Squares and roots of 468493742080
- 468493742080 squared (4684937420802) is 219486386368121562726400
- 468493742080 cubed (4684937420803) is 102827998485217971342028583206912000
-
The
square root of 468493742080 is 684466.0269728513 -
The
cube root of 468493742080 is 7766.6654460713
Scales and comparisons
How big is 468493742080?- 468,493,742,080 seconds is equal to 14,896 years, 33 weeks, 6 days, 6 hours, 34 minutes, 40 seconds.
-
To count from 1 to 468,493,742,080 would take you about twenty-nine thousand, seven hundred ninety-three 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 468493742080 cubic inches would be around 647.2 feet tall.
Recreational maths with 468493742080
- 468493742080 backwards is 080247394864
- The number of decimal digits it has is: 12
- The sum of 468493742080's digits is 55
- More coming soon!
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The information we have on file for 468493742080 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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