40748921664
40,748,921,664 is an even composite number composed of six prime numbers multiplied together.
What does the number 40748921664 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 336 divisors.
40748921664 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred thirty-six divisors.
Prime factorization of 40748921664:
26 × 3 × 11 × 17 × 312 × 1181
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 11 × 17 × 31 × 31 × 1181)See below for interesting mathematical facts about the number 40748921664 from the Numbermatics database.
Names of 40748921664
- Cardinal: 40748921664 can be written as Forty billion, seven hundred forty-eight million, nine hundred twenty-one thousand, six hundred sixty-four.
Scientific notation
- Scientific notation: 4.0748921664 × 1010
Factors of 40748921664
Divisors of 40748921664
- Number of divisors d(n): 336
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Complete list of divisors:
1 2 3 4 6 8 11 12 16 17 22 24 31 32 33 34 44 48 51 62 64 66 68 88 93 96 102 124 132 136 176 186 187 192 204 248 264 272 341 352 372 374 408 496 527 528 544 561 682 704 744 748 816 961 992 1023 1054 1056 1088 1122 1181 1364 1488 1496 1581 1632 1922 1984 2046 2108 2112 2244 2362 2728 2883 2976 2992 3162 3264 3543 3844 4092 4216 4488 4724 5456 5766 5797 5952 5984 6324 7086 7688 8184 8432 8976 9448 10571 10912 11532 11594 11968 12648 12991 14172 15376 16337 16368 16864 17391 17952 18896 20077 21142 21824 23064 23188 25296 25982 28344 30752 31713 32674 32736 33728 34782 35904 36611 37792 38973 40154 42284 46128 46376 49011 50592 51964 56688 60231 61504 63426 65348 65472 69564 73222 75584 77946 80308 84568 92256 92752 98022 101184 103928 109833 113376 120462 126852 130696 139128 146444 155892 160616 169136 179707 184512 185504 196044 207856 219666 220847 226752 240924 253704 261392 278256 292888 311784 321232 338272 359414 371008 392088 402721 415712 439332 441694 481848 507408 522784 539121 556512 585776 622387 623568 642464 662541 676544 718828 784176 805442 831424 878664 883388 963696 1014816 1045568 1078242 1113024 1134941 1171552 1208163 1244774 1247136 1284928 1325082 1437656 1568352 1610884 1757328 1766776 1867161 1927392 2029632 2156484 2269882 2343104 2416326 2489548 2494272 2650164 2875312 3136704 3221768 3404823 3514656 3533552 3734322 3854784 4312968 4539764 4832652 4979096 5300328 5750624 6443536 6809646 6846257 7029312 7067104 7468644 8625936 9079528 9665304 9958192 10600656 11501248 12484351 12887072 13619292 13692514 14134208 14937288 17251872 18159056 19293997 19330608 19916384 20538771 21201312 24968702 25774144 27238584 27385028 29874576 34503744 36318112 37453053 38587994 38661216 39832768 41077542 42402624 49937404 54477168 54770056 57881991 59749152 72636224 74906106 77175988 77322432 82155084 99874808 108954336 109540112 115763982 119498304 149812212 154351976 164310168 199749616 212233967 217908672 219080224 231527964 299624424 308703952 328620336 399499232 424467934 438160448 463055928 599248848 617407904 636701901 657240672 798998464 848935868 926111856 1198497696 1234815808 1273403802 1314481344 1697871736 1852223712 2396995392 2546807604 3395743472 3704447424 5093615208 6791486944 10187230416 13582973888 20374460832 40748921664
- Sum of all divisors σ(n): 128790606528
- Sum of proper divisors (its aliquot sum) s(n): 88041684864
- 40748921664 is an abundant number, because the sum of its proper divisors (88041684864) is greater than itself. Its abundance is 47292763200
Bases of 40748921664
- Binary: 1001011111001101001100110011010000002
- Hexadecimal: 0x97CD33340
- Base-36: IPWUT6O
Squares and roots of 40748921664
- 40748921664 squared (407489216642) is 1660474616778808528896
- 40748921664 cubed (407489216643) is 67662550084180088759238184402944
-
The
square root of 40748921664 is 201863.6214477487 -
The
cube root of 40748921664 is 3441.1640210753
Scales and comparisons
How big is 40748921664?- 40,748,921,664 seconds is equal to 1,295 years, 35 weeks, 6 days, 54 minutes, 24 seconds.
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To count from 1 to 40,748,921,664 would take you about two thousand, five hundred ninety-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 40748921664 cubic inches would be around 286.8 feet tall.
Recreational maths with 40748921664
- 40748921664 backwards is 46612984704
- 40748921664 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 40748921664's digits is 51
- More coming soon!
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