3428736134461440
3,428,736,134,461,440 is an even composite number composed of eight prime numbers multiplied together.
3428736134461440 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 3428736134461440:
211 × 3 × 5 × 11 × 31 × 53 × 421 × 14669
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 11 × 31 × 53 × 421 × 14669)See below for interesting mathematical facts about the number 3428736134461440 from the Numbermatics database.
Names of 3428736134461440
- Cardinal: 3428736134461440 can be written as Three quadrillion, four hundred twenty-eight trillion, seven hundred thirty-six billion, one hundred thirty-four million, four hundred sixty-one thousand, four hundred forty.
Scientific notation
- Scientific notation: 3.42873613446144 × 1015
Factors of 3428736134461440
Divisors of 3428736134461440
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 31 32 33 40 44 48 53 55 60 62 64 66 80 88 93 96 106 110 120 124 128 132 155 159 160 165 176 186 192 212 220 240 248 256 264 265 310 318 320 330 341 352 372 384 421 424 440 465 480 496 512 528 530 583 620 636 640 660 682 704 744 768 795 842 848 880 930 960 992 1023 1024 1056 1060 1166 1240 1263 1272 1280 1320 1364 1408 1488 1536 1590 1643 1684 1696 1705 1749 1760 1860 1920 1984 2046 2048 2105 2112 2120 2332 2480 2526 2544 2560 2640 2728 2816 2915 2976 3072 3180 3286 3368 3392 3410 3498 3520 3720 3840 3968 4092 4210 4224 4240 4631 4664 4929 4960 5052 5088 5115 5120 5280 5456 5632 5830 5952 6144 6315 6360 6572 6736 6784 6820 6996 7040 7440 7680 7936 8184 8215 8420 8448 8480 8745 9262 9328 9858 9920 10104 10176 10230 10240 10560 10912 11264 11660 11904 12630 12720 13051 13144 13472 13568 13640 13893 13992 14080 14669 14880 15360 15872 16368 16430 16840 16896 16960 17490 18073 18524 18656 19716 19840 20208 20352 20460 21120 21824 22313 22528 23155 23320 23808 24645 25260 25440 26102 26288 26944 27136 27280 27786 27984 28160 29338 29760 30720 31744 32736 32860 33680 33792 33920 34980 36146 37048 37312 39153 39432 39680 40416 40704 40920 42240 43648 44007 44626 46310 46640 47616 49290 50520 50880 52204 52576 53888 54219 54272 54560 55572 55968 56320 58676 59520 63488 65255 65472 65720 66939 67360 67584 67840 69465 69960 72292 73345 74096 74624 78306 78864 79360 80832 81408 81840 84480 87296 88014 89252 90365 92620 93280 95232 98580 101040 101760 104408 105152 107776 108438 108544 109120 111144 111565 111936 112640 117352 119040 130510 130944 131440 133878 134720 135680 138930 139920 143561 144584 146690 148192 149248 156612 157728 158720 161359 161664 162816 163680 168960 174592 176028 178504 180730 185240 186560 190464 195765 197160 202080 203520 208816 210304 215552 216876 218240 220035 222288 223130 223872 234704 238080 245443 261020 261888 262880 267756 269440 271095 271360 277860 279840 287122 289168 293380 296384 298496 313224 315456 317440 322718 323328 325632 327360 334695 337920 349184 352056 357008 361460 370480 373120 391530 394320 404160 407040 417632 420608 430683 431104 433752 436480 440070 444576 446260 447744 454739 469408 476160 484077 490886 522040 523776 525760 535512 538880 542190 542720 555720 559680 574244 578336 586760 592768 596992 626448 630912 645436 646656 654720 669390 691703 698368 704112 714016 717805 722920 736329 740960 746240 777457 783060 788640 806795 808320 814080 835264 841216 861366 862208 867504 872960 880140 889152 892520 895488 909478 938816 952320 968154 981772 1044080 1047552 1051520 1071024 1077760 1084380 1111440 1119360 1148488 1156672 1173520 1185536 1193984 1227215 1252896 1261824 1290872 1293312 1309440 1338780 1364217 1383406 1408224 1428032 1435610 1445840 1472658 1481920 1492480 1554914 1566120 1577280 1613590 1616640 1628160 1670528 1682432 1722732 1735008 1745920 1760280 1778304 1785040 1790976 1818956 1877632 1936308 1963544 2075109 2088160 2095104 2103040 2142048 2153415 2155520 2168760 2222880 2238720 2273695 2296976 2313344 2332371 2347040 2371072 2420385 2454430 2505792 2523648 2581744 2586624 2618880 2677560 2728434 2766812 2816448 2856064 2871220 2891680 2945316 2963840 2984960 3109828 3132240 3154560 3227180 3233280 3341056 3364864 3445464 3458515 3470016 3491840 3520560 3556608 3570080 3581952 3637912 3681645 3755264 3872616 3887285 3927088 4150218 4176320 4206080 4284096 4306830 4311040 4337520 4445760 4477440 4547390 4593952 4626688 4664742 4694080 4742144 4840770 4908860 5002129 5011584 5047296 5163488 5237760 5355120 5456868 5533624 5632896 5712128 5742440 5783360 5890632 5927680 5969920 6175649 6219656 6264480 6309120 6454360 6466560 6682112 6821085 6890928 6917030 6940032 7041120 7113216 7140160 7275824 7363290 7510528 7608733 7745232 7774570 7854176 8300436 8352640 8412160 8552027 8568192 8613660 8675040 8891520 8954880 9094780 9187904 9253376 9329484 9388160 9484288 9681540 9817720 10004258 10023168 10094592 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505415114160 509016647040 521718827520 539109455104 542951090176 558062521885 576064538720 588119405568 608795478420 628434042240 649381843648 669675026262 670329645056 673886818880 678688862720 691277446464 695625103360 735149256960 740387850240 808664182656 811727304560 814426635264 837912056320 864096808080 892900035016 921703261952 974072765472 980199009280 1005494467584 1010830228320 1018033294080 1043437655040 1078218910208 1116125043770 1152129077440 1176238811136 1217590956840 1256868084480 1298763687296 1339350052524 1347773637760 1357377725440 1382554892928 1470298513920 1617328365312 1623454609120 1628853270528 1674187565655 1675824112640 1728193616160 1785800070032 1843406523904 1948145530944 1960398018560 2010988935168 2021660456640 2036066588160 2086875310080 2156437820416 2232250087540 2304258154880 2435181913680 2513736168960 2597527374592 2678700105048 2695547275520 2714755450880 2765109785856 2940597027840 3234656730624 3246909218240 3348375131310 3351648225280 3456387232320 3571600140064 3686813047808 3896291061888 4043320913280 4072133176320 4312875640832 4464500175080 4608516309760 4870363827360 5027472337920 5195054749184 5357400210096 5391094551040 5530219571712 5881194055680 6469313461248 6493818436480 6696750262620 6912774464640 7143200280128 7373626095616 7792582123776 8086641826560 8144266352640 8929000350160 9217032619520 9740727654720 10054944675840 10390109498368 10714800420192 10782189102080 11060439143424 12938626922496 12987636872960 13393500525240 13825548929280 14286400560256 15585164247552 16173283653120 17858000700320 18434065239040 19481455309440 20780218996736 21429600840384 21564378204160 22120878286848 25975273745920 26787001050480 27651097858560 28572801120512 31170328495104 32346567306240 35716001400640 36868130478080 38962910618880 42859201680768 51950547491840 53574002100960 55302195717120 57145602241024 62340656990208 64693134612480 71432002801280 77925821237760 85718403361536 103901094983680 107148004201920 110604391434240 114291204482048 142864005602560 155851642475520 171436806723072 214296008403840 228582408964096 285728011205120 311703284951040 342873613446144 428592016807680 571456022410240 685747226892288 857184033615360 1142912044820480 1714368067230720 3428736134461440
- Sum of all divisors σ(n): 12616320026419200
- Sum of proper divisors (its aliquot sum) s(n): 9187583891957760
- 3428736134461440 is an abundant number, because the sum of its proper divisors (9187583891957760) is greater than itself. Its abundance is 5758847757496320
Bases of 3428736134461440
- Binary: 11000010111001101010110101110101001010111000000000002
- Hexadecimal: 0xC2E6AD752B800
- Base-36: XRDVMV44QO
Squares and roots of 3428736134461440
- 3428736134461440 squared (34287361344614402) is 11756231479761577959558846873600
- 3428736134461440 cubed (34287361344614403) is 40309015679751607508818591508544084963753984000
-
The
square root of 3428736134461440 is 58555410.8043094511 -
The
cube root of 3428736134461440 is 150791.9027901949
Scales and comparisons
How big is 3428736134461440?- 3,428,736,134,461,440 seconds is equal to 109,023,203 years, 15 weeks, 3 days, 17 hours, 4 minutes.
-
To count from 1 to 3,428,736,134,461,440 would take you about three hundred twenty-seven million, sixty-nine thousand, six hundred nine 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 3428736134461440 cubic inches would be around 12566 feet tall.
Recreational maths with 3428736134461440
- 3428736134461440 backwards is 0441644316378243
- 3428736134461440 is a
Harshad number . - The number of decimal digits it has is: 16
- The sum of 3428736134461440's digits is 60
- More coming soon!
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"Number 3428736134461440 - Facts about the integer". Numbermatics.com. 2024. Web. 6 June 2024.
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Numbermatics. (2024). Number 3428736134461440 - Facts about the integer. Retrieved 6 June 2024, from https://numbermatics.com/n/3428736134461440/
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The information we have on file for 3428736134461440 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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