Search a number
-
+
40264746473424 = 24311204773724129
BaseRepresentation
bin10010010011110110111011…
…11010010001011111010000
312021120021100102010100001010
421021323131322101133100
520234144200044122144
6221345211424010520
711324013644662254
oct1111733572213720
9167507312110033
1040264746473424
1111914201759040
1246236b2160a40
131960c457c6a75
149d2b77598264
1549c5a246b5b9
hex249edde917d0

40264746473424 has 80 divisors (see below), whose sum is σ = 113478948400320. Its totient is φ = 12200839188480.

The previous prime is 40264746473381. The next prime is 40264746473431. The reversal of 40264746473424 is 42437464746204.

It is a super-2 number, since 2×402647464734242 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8949792 + ... + 12673920.

It is an arithmetic number, because the mean of its divisors is an integer number (1418486855004).

Almost surely, 240264746473424 is an apocalyptic number.

40264746473424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

40264746473424 is an abundant number, since it is smaller than the sum of its proper divisors (73214201926896).

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

40264746473424 is a wasteful number, since it uses less digits than its factorization.

40264746473424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3744628 (or 3744622 counting only the distinct ones).

The product of its (nonzero) digits is 86704128, while the sum is 57.

The spelling of 40264746473424 in words is "forty trillion, two hundred sixty-four billion, seven hundred forty-six million, four hundred seventy-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 20477 40954 61431 81908 122862 163816 225247 245724 327632 450494 491448 675741 900988 982896 1351482 1801976 2702964 3603952 3724129 5405928 7448258 10811856 11172387 14896516 22344774 29793032 40965419 44689548 59586064 81930838 89379096 122896257 163861676 178758192 245792514 327723352 491585028 655446704 983170056 1966340112 76258989533 152517979066 228776968599 305035958132 457553937198 610071916264 838848884863 915107874396 1220143832528 1677697769726 1830215748792 2516546654589 3355395539452 3660431497584 5033093309178 6710791078904 10066186618356 13421582157808 20132373236712 40264746473424