40830345216
40,830,345,216 is an even composite number composed of four prime numbers multiplied together.
40830345216 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of four hundred forty-eight divisors.
Prime factorization of 40830345216:
213 × 37 × 43 × 53
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 43 × 53)See below for interesting mathematical facts about the number 40830345216 from the Numbermatics database.
Names of 40830345216
- Cardinal: 40830345216 can be written as Forty billion, eight hundred thirty million, three hundred forty-five thousand, two hundred sixteen.
Scientific notation
- Scientific notation: 4.0830345216 × 1010
Factors of 40830345216
Divisors of 40830345216
- Number of divisors d(n): 448
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Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 32 36 43 48 53 54 64 72 81 86 96 106 108 128 129 144 159 162 172 192 212 216 243 256 258 288 318 324 344 384 387 424 432 477 486 512 516 576 636 648 688 729 768 774 848 864 954 972 1024 1032 1152 1161 1272 1296 1376 1431 1458 1536 1548 1696 1728 1908 1944 2048 2064 2187 2279 2304 2322 2544 2592 2752 2862 2916 3072 3096 3392 3456 3483 3816 3888 4096 4128 4293 4374 4558 4608 4644 5088 5184 5504 5724 5832 6144 6192 6784 6837 6912 6966 7632 7776 8192 8256 8586 8748 9116 9216 9288 10176 10368 10449 11008 11448 11664 12288 12384 12879 13568 13674 13824 13932 15264 15552 16512 17172 17496 18232 18432 18576 20352 20511 20736 20898 22016 22896 23328 24576 24768 25758 27136 27348 27648 27864 30528 31104 31347 33024 34344 34992 36464 36864 37152 38637 40704 41022 41472 41796 44032 45792 46656 49536 51516 54272 54696 55296 55728 61056 61533 62208 62694 66048 68688 69984 72928 73728 74304 77274 81408 82044 82944 83592 88064 91584 93312 94041 99072 103032 108544 109392 110592 111456 115911 122112 123066 124416 125388 132096 137376 139968 145856 148608 154548 162816 164088 165888 167184 176128 183168 184599 186624 188082 198144 206064 217088 218784 221184 222912 231822 244224 246132 248832 250776 264192 274752 279936 291712 297216 309096 325632 328176 331776 334368 352256 366336 369198 373248 376164 396288 412128 434176 437568 445824 463644 488448 492264 497664 501552 528384 549504 553797 559872 583424 594432 618192 651264 656352 663552 668736 732672 738396 746496 752328 792576 824256 875136 891648 927288 976896 984528 995328 1003104 1056768 1099008 1107594 1119744 1166848 1188864 1236384 1302528 1312704 1337472 1465344 1476792 1492992 1504656 1585152 1648512 1661391 1750272 1783296 1854576 1953792 1969056 1990656 2006208 2198016 2215188 2239488 2333696 2377728 2472768 2625408 2674944 2930688 2953584 2985984 3009312 3170304 3297024 3322782 3500544 3566592 3709152 3907584 3938112 4012416 4396032 4430376 4478976 4667392 4755456 4945536 4984173 5250816 5349888 5861376 5907168 5971968 6018624 6594048 6645564 7001088 7133184 7418304 7876224 8024832 8792064 8860752 8957952 9334784 9510912 9891072 9968346 10501632 10699776 11722752 11814336 12037248 13188096 13291128 14002176 14266368 14836608 15752448 16049664 17584128 17721504 17915904 18669568 19782144 19936692 21003264 21399552 23628672 24074496 26376192 26582256 28004352 28532736 29673216 31504896 32099328 35168256 35443008 39564288 39873384 42006528 42799104 47257344 48148992 52752384 53164512 56008704 59346432 63009792 64198656 70886016 79128576 79746768 84013056 85598208 94514688 96297984 105504768 106329024 118692864 126019584 128397312 141772032 158257152 159493536 168026112 189029376 192595968 212658048 237385728 252039168 256794624 283544064 316514304 318987072 378058752 385191936 425316096 474771456 504078336 567088128 637974144 756117504 770383872 850632192 949542912 1134176256 1275948288 1512235008 1701264384 2268352512 2551896576 3402528768 4536705024 5103793152 6805057536 10207586304 13610115072 20415172608 40830345216
- Sum of all divisors σ(n): 127677306240
- Sum of proper divisors (its aliquot sum) s(n): 86846961024
- 40830345216 is an abundant number, because the sum of its proper divisors (86846961024) is greater than itself. Its abundance is 46016615808
Bases of 40830345216
- Binary: 1001100000011010110110100000000000002
- Hexadecimal: 0x981ADA000
- Base-36: IR9C000
Squares and roots of 40830345216
- 40830345216 squared (408303452162) is 1667117090457734086656
- 40830345216 cubed (408303452163) is 68068966318882782215294939037696
-
The
square root of 40830345216 is 202065.2004081851 -
The
cube root of 40830345216 is 3443.4545142451
Scales and comparisons
How big is 40830345216?- 40,830,345,216 seconds is equal to 1,298 years, 14 weeks, 3 days, 10 hours, 33 minutes, 36 seconds.
-
To count from 1 to 40,830,345,216 would take you about two thousand, five hundred ninety-six 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 40830345216 cubic inches would be around 287 feet tall.
Recreational maths with 40830345216
- 40830345216 backwards is 61254303804
- 40830345216 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 40830345216's digits is 36
- More coming soon!
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