40132908968400
40,132,908,968,400 is an even composite number composed of six prime numbers multiplied together.
40132908968400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred sixty divisors.
Prime factorization of 40132908968400:
24 × 32 × 52 × 557 × 1733 × 11549
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 557 × 1733 × 11549)See below for interesting mathematical facts about the number 40132908968400 from the Numbermatics database.
Names of 40132908968400
- Cardinal: 40132908968400 can be written as Forty trillion, one hundred thirty-two billion, nine hundred eight million, nine hundred sixty-eight thousand, four hundred.
Scientific notation
- Scientific notation: 4.01329089684 × 1013
Factors of 40132908968400
Divisors of 40132908968400
- Number of divisors d(n): 360
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 144 150 180 200 225 240 300 360 400 450 557 600 720 900 1114 1200 1671 1733 1800 2228 2785 3342 3466 3600 4456 5013 5199 5570 6684 6932 8355 8665 8912 10026 10398 11140 11549 13368 13864 13925 15597 16710 17330 20052 20796 22280 23098 25065 25995 26736 27728 27850 31194 33420 34647 34660 40104 41592 41775 43325 44560 46196 50130 51990 55700 57745 62388 66840 69294 69320 77985 80208 83184 83550 86650 92392 100260 103941 103980 111400 115490 124776 125325 129975 133680 138588 138640 155970 167100 173235 173300 184784 200520 207882 207960 222800 230980 249552 250650 259950 277176 288725 311940 334200 346470 346600 389925 401040 415764 415920 461960 501300 519705 519900 554352 577450 623880 668400 692940 693200 779850 831528 866175 923920 965281 1002600 1039410 1039800 1154900 1247760 1385880 1559700 1663056 1732350 1930562 2005200 2078820 2079600 2309800 2598525 2771760 2895843 3119400 3464700 3861124 4157640 4619600 4826405 5197050 5791686 6238800 6432793 6929400 7722248 8315280 8687529 9652810 10394100 11583372 12865586 13858800 14479215 15444496 17375058 19298379 19305620 20014417 20788200 23166744 24132025 25731172 28958430 32163965 34750116 38596758 38611240 40028834 41576400 43437645 46333488 48264050 51462344 57895137 57916860 60043251 64327930 69500232 72396075 77193516 77222480 80057668 86875290 96491895 96528100 100072085 102924688 115790274 115833720 120086502 128655860 139000464 144792150 154387032 160115336 160819825 173750580 180129753 192983790 193056200 200144170 217188225 231580548 231667440 240173004 257311720 289475685 289584300 300216255 308774064 320230672 321639650 347501160 360259506 385967580 386112400 400288340 434376450 463161096 480346008 482459475 500360425 514623440 578951370 579168600 600432510 643279300 695002320 720519012 771935160 800576680 868752900 900648765 926322192 960692016 964918950 1000720850 1157902740 1158337200 1200865020 1286558600 1441038024 1447378425 1501081275 1543870320 1601153360 1737505800 1801297530 1929837900 2001441700 2315805480 2401730040 2573117200 2882076048 2894756850 3002162550 3475011600 3602595060 3859675800 4002883400 4503243825 4631610960 4803460080 5789513700 6004325100 7205190120 7719351600 8005766800 9006487650 11148030269 11579027400 12008650200 14410380240 18012975300 22296060538 23158054800 24017300400 33444090807 36025950600 44592121076 55740151345 66888181614 72051901200 89184242152 100332272421 111480302690 133776363228 167220454035 178368484304 200664544842 222960605380 267552726456 278700756725 334440908070 401329089684 445921210760 501661362105 535105452912 557401513450 668881816140 802658179368 836102270175 891842421520 1003322724210 1114803026900 1337763632280 1605316358736 1672204540350 2006645448420 2229606053800 2508306810525 2675527264560 3344409080700 4013290896840 4459212107600 5016613621050 6688818161400 8026581793680 10033227242100 13377636322800 20066454484200 40132908968400
- Sum of all divisors σ(n): 139614979303800
- Sum of proper divisors (its aliquot sum) s(n): 99482070335400
- 40132908968400 is an abundant number, because the sum of its proper divisors (99482070335400) is greater than itself. Its abundance is 59349161367000
Bases of 40132908968400
- Binary: 10010010000000001010111100100001101001110100002
- Hexadecimal: 0x24802BC869D0
- Base-36: E84SXSR80
Squares and roots of 40132908968400
- 40132908968400 squared (401329089684002) is 1610650382265881152198560000
- 40132908968400 cubed (401329089684003) is 64640085171395270006398114001565504000000
-
The
square root of 40132908968400 is 6335053.9830691261 -
The
cube root of 40132908968400 is 34237.3555806885
Scales and comparisons
How big is 40132908968400?- 40,132,908,968,400 seconds is equal to 1,276,102 years, 19 weeks, 5 hours.
-
To count from 1 to 40,132,908,968,400 would take you about three million, one hundred ninety thousand, two hundred fifty-five 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 40132908968400 cubic inches would be around 2853.1 feet tall.
Recreational maths with 40132908968400
- 40132908968400 backwards is 00486980923104
- The number of decimal digits it has is: 14
- The sum of 40132908968400's digits is 54
- More coming soon!
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