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40934652336 = 24323160715107
BaseRepresentation
bin100110000111111001…
…010011100110110000
310220122210202210110200
4212013321103212300
51132313232333321
630445523355200
72646253542504
oct460771234660
9126583683420
1040934652336
11163a65a9196
127b24b22b00
133b248bc696
141da4788304
1510e8aaad26
hex987e539b0

40934652336 has 120 divisors (see below), whose sum is σ = 118458322944. Its totient is φ = 13182099840.

The previous prime is 40934652331. The next prime is 40934652379. The reversal of 40934652336 is 63325643904.

40934652336 is a `hidden beast` number, since 4 + 0 + 93 + 4 + 6 + 523 + 36 = 666.

40934652336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 40934652291 and 40934652300.

It is not an unprimeable number, because it can be changed into a prime (40934652331) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2702095 + ... + 2717201.

Almost surely, 240934652336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40934652336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59229161472).

40934652336 is an abundant number, since it is smaller than the sum of its proper divisors (77523670608).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40934652336 is a wasteful number, since it uses less digits than its factorization.

40934652336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15759 (or 15750 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 45.

The spelling of 40934652336 in words is "forty billion, nine hundred thirty-four million, six hundred fifty-two thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 496 558 607 744 1116 1214 1488 1821 2232 2428 3642 4464 4856 5463 7284 9712 10926 14568 15107 18817 21852 29136 30214 37634 43704 45321 56451 60428 75268 87408 90642 112902 120856 135963 150536 169353 181284 225804 241712 271926 301072 338706 362568 451608 468317 543852 677412 725136 903216 936634 1087704 1354824 1404951 1873268 2175408 2709648 2809902 3746536 4214853 5619804 7493072 8429706 9169949 11239608 16859412 18339898 22479216 27509847 33718824 36679796 55019694 67437648 73359592 82529541 110039388 146719184 165059082 220078776 284268419 330118164 440157552 568536838 660236328 852805257 1137073676 1320472656 1705610514 2274147352 2558415771 3411221028 4548294704 5116831542 6822442056 10233663084 13644884112 20467326168 40934652336