40442045472
40,442,045,472 is an even composite number composed of six prime numbers multiplied together.
40442045472 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 40442045472:
25 × 34 × 31 × 37 × 61 × 223
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 31 × 37 × 61 × 223)See below for interesting mathematical facts about the number 40442045472 from the Numbermatics database.
Names of 40442045472
- Cardinal: 40442045472 can be written as Forty billion, four hundred forty-two million, forty-five thousand, four hundred seventy-two.
Scientific notation
- Scientific notation: 4.0442045472 × 1010
Factors of 40442045472
Divisors of 40442045472
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 37 48 54 61 62 72 74 81 93 96 108 111 122 124 144 148 162 183 186 216 222 223 244 248 279 288 296 324 333 366 372 432 444 446 488 496 549 558 592 648 666 669 732 744 837 864 888 892 976 992 999 1098 1116 1147 1184 1296 1332 1338 1464 1488 1647 1674 1776 1784 1891 1952 1998 2007 2196 2232 2257 2294 2511 2592 2664 2676 2928 2976 2997 3294 3348 3441 3552 3568 3782 3996 4014 4392 4464 4514 4588 4941 5022 5328 5352 5673 5856 5994 6021 6588 6696 6771 6882 6913 7136 7564 7992 8028 8251 8784 8928 9028 9176 9882 10044 10323 10656 10704 11346 11988 12042 13176 13392 13542 13603 13764 13826 15128 15984 16056 16502 17019 17568 18056 18063 18352 19764 20088 20313 20646 20739 21408 22692 23976 24084 24753 26352 26784 27084 27206 27528 27652 30256 30969 31968 32112 33004 34038 36112 36126 36704 39528 40176 40626 40809 41292 41478 45384 47952 48168 49506 51057 52704 54168 54412 55056 55304 60512 60939 61938 62217 64224 66008 68076 69967 72224 72252 74259 79056 80352 81252 81618 82584 82956 90768 92907 95904 96336 99012 102114 108336 108824 110112 110608 121878 122427 123876 124434 132016 136152 139934 144504 148518 153171 158112 162504 163236 165168 165912 181536 182817 185814 186651 192672 198024 204228 209901 216672 217648 221216 222777 243756 244854 247752 248868 255781 264032 272304 279868 289008 297036 306342 325008 326472 330336 331824 365634 367281 371628 373302 396048 408456 419802 421693 435296 445554 487512 489708 495504 497736 503311 511562 544608 559736 559953 578016 594072 612684 629703 650016 652944 663648 668331 731268 734562 743256 746604 767343 792096 816912 839604 843386 891108 975024 979416 991008 995472 1006622 1023124 1101843 1119472 1119906 1188144 1225368 1259406 1265079 1305888 1336662 1462536 1469124 1486512 1493208 1509933 1534686 1633824 1679208 1686772 1782216 1889109 1950048 1958832 1990944 2013244 2046248 2203686 2238944 2239812 2302029 2376288 2450736 2518812 2530158 2673324 2925072 2938248 2973024 2986416 3019866 3069372 3358416 3373544 3564432 3778218 3795237 3917664 4026488 4092496 4407372 4479624 4529799 4604058 4901472 5037624 5060316 5346648 5667327 5850144 5876496 5972832 6039732 6138744 6716832 6747088 6906087 7128864 7556436 7590474 8052976 8184992 8814744 8959248 9059598 9208116 10075248 10120632 10693296 11334654 11385711 11752992 12079464 12277488 13494176 13589397 13812174 15112872 15180948 15602641 16105952 17629488 17918496 18119196 18416232 20150496 20241264 20718261 21386592 22669308 22771422 24158928 24554976 27178794 27624348 30225744 30361896 31205282 34157133 35258976 36238392 36832464 40482528 40768191 41436522 45338616 45542844 46807923 48317856 54357588 55248696 60451488 60723792 62410564 68314266 72476784 73664928 81536382 82873044 90677232 91085688 93615846 108715176 110497392 121447584 124821128 136628532 140423769 144953568 163072764 165746088 181354464 182171376 187231692 217430352 220994784 249642256 273257064 280847538 326145528 331492176 364342752 374463384 421271307 434860704 499284512 546514128 561695076 652291056 662984352 748926768 842542614 1093028256 1123390152 1263813921 1304582112 1497853536 1685085228 2246780304 2527627842 3370170456 4493560608 5055255684 6740340912 10110511368 13480681824 20221022736 40442045472
- Sum of all divisors σ(n): 128735760384
- Sum of proper divisors (its aliquot sum) s(n): 88293714912
- 40442045472 is an abundant number, because the sum of its proper divisors (88293714912) is greater than itself. Its abundance is 47851669440
Bases of 40442045472
- Binary: 1001011010101000100010100100001000002
- Hexadecimal: 0x96A88A420
- Base-36: IKU5E00
Squares and roots of 40442045472
- 40442045472 squared (404420454722) is 1635559041959315702784
- 40442045472 cubed (404420454723) is 66145353147059401625994164994048
-
The
square root of 40442045472 is 201102.0772443687 -
The
cube root of 40442045472 is 3432.5038870895
Scales and comparisons
How big is 40442045472?- 40,442,045,472 seconds is equal to 1,285 years, 48 weeks, 3 days, 5 hours, 31 minutes, 12 seconds.
-
To count from 1 to 40,442,045,472 would take you about two thousand, five hundred seventy-one 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 40442045472 cubic inches would be around 286 feet tall.
Recreational maths with 40442045472
- 40442045472 backwards is 27454024404
- 40442045472 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 40442045472's digits is 36
- More coming soon!
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