42468896005120
42,468,896,005,120 is an even composite number composed of six prime numbers multiplied together.
What does the number 42468896005120 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 352 divisors.
42468896005120 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred fifty-two divisors.
Prime factorization of 42468896005120:
210 × 5 × 13 × 61 × 1277 × 8191
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 13 × 61 × 1277 × 8191)See below for interesting mathematical facts about the number 42468896005120 from the Numbermatics database.
Names of 42468896005120
- Cardinal: 42468896005120 can be written as Forty-two trillion, four hundred sixty-eight billion, eight hundred ninety-six million, five thousand, one hundred twenty.
Scientific notation
- Scientific notation: 4.246889600512 × 1013
Factors of 42468896005120
Divisors of 42468896005120
- Number of divisors d(n): 352
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Complete list of divisors:
1 2 4 5 8 10 13 16 20 26 32 40 52 61 64 65 80 104 122 128 130 160 208 244 256 260 305 320 416 488 512 520 610 640 793 832 976 1024 1040 1220 1277 1280 1586 1664 1952 2080 2440 2554 2560 3172 3328 3904 3965 4160 4880 5108 5120 6344 6385 6656 7808 7930 8191 8320 9760 10216 12688 12770 13312 15616 15860 16382 16601 16640 19520 20432 25376 25540 31232 31720 32764 33202 33280 39040 40864 40955 50752 51080 62464 63440 65528 66404 66560 77897 78080 81728 81910 83005 101504 102160 106483 126880 131056 132808 155794 156160 163456 163820 166010 203008 204320 212966 253760 262112 265616 311588 312320 326912 327640 332020 389485 406016 408640 425932 499651 507520 524224 531232 532415 623176 653824 655280 664040 778970 812032 817280 851864 999302 1012661 1015040 1048448 1062464 1064830 1246352 1307648 1310560 1328080 1557940 1634560 1703728 1998604 2025322 2030080 2096896 2124928 2129660 2492704 2498255 2621120 2656160 3115880 3269120 3407456 3997208 4050644 4060160 4193792 4249856 4259320 4985408 4996510 5063305 5242240 5312320 6231760 6495463 6538240 6814912 7994416 8101288 8387584 8499712 8518640 9970816 9993020 10126610 10459907 10484480 10624640 12463520 12990926 13629824 15988832 16202576 16999424 17037280 19941632 19986040 20253220 20919814 20968960 21249280 24927040 25981852 27259648 31977664 32405152 32477315 34074560 39883264 39972080 40506440 41839628 41937920 42498560 49854080 51963704 52299535 54519296 63955328 64810304 64954630 68149120 79766528 79944160 81012880 83679256 84997120 99708160 103927408 104599070 109038592 127910656 129620608 129909260 135978791 136298240 159888320 162025760 167358512 199416320 207854816 209198140 255821312 259241216 259818520 271957582 272596480 319776640 324051520 334717024 398832640 415709632 418396280 511642624 518482432 519637040 543915164 545192960 638054327 639553280 648103040 669434048 679893955 831419264 836792560 1036964864 1039274080 1087830328 1276108654 1279106560 1296206080 1338868096 1359787910 1662838528 1673585120 2078548160 2175660656 2552217308 2558213120 2592412160 2677736192 2719575820 3190271635 3325677056 3347170240 4157096320 4351321312 5104434616 5184824320 5355472384 5439151640 6380543270 6651354112 6694340480 8294706251 8314192640 8702642624 10208869232 10710944768 10878303280 12761086540 13388680960 16589412502 16628385280 17405285248 20417738464 21756606560 25522173080 26777361920 33178825004 33256770560 34810570496 40835476928 41473531255 43513213120 51044346160 53554723840 66357650008 69621140992 81670953856 82947062510 87026426240 102088692320 132715300016 139242281984 163341907712 165894125020 174052852480 204177384640 265430600032 326683815424 331788250040 348105704960 408354769280 530861200064 653367630848 663576500080 696211409920 816709538560 1061722400128 1327153000160 1633419077120 2123444800256 2654306000320 3266838154240 4246889600512 5308612000640 8493779201024 10617224001280 21234448002560 42468896005120
- Sum of all divisors σ(n): 111611672395776
- Sum of proper divisors (its aliquot sum) s(n): 69142776390656
- 42468896005120 is an abundant number, because the sum of its proper divisors (69142776390656) is greater than itself. Its abundance is 26673880385536
Bases of 42468896005120
- Binary: 10011010100000000011110111010111011100000000002
- Hexadecimal: 0x26A00F75DC00
- Base-36: F1XXW60HS
Squares and roots of 42468896005120
- 42468896005120 squared (424688960051202) is 1803607127893697495066214400
- 42468896005120 cubed (424688960051203) is 76597203548610606468243303642041417728000
-
The
square root of 42468896005120 is 6516816.4010596463 -
The
cube root of 42468896005120 is 34889.1447713815
Scales and comparisons
How big is 42468896005120?- 42,468,896,005,120 seconds is equal to 1,350,379 years, 27 weeks, 3 days, 4 hours, 58 minutes, 40 seconds.
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To count from 1 to 42,468,896,005,120 would take you about three million, three hundred seventy-five thousand, nine hundred forty-eight 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 42468896005120 cubic inches would be around 2907.4 feet tall.
Recreational maths with 42468896005120
- 42468896005120 backwards is 02150069886424
- The number of decimal digits it has is: 14
- The sum of 42468896005120's digits is 55
- More coming soon!
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