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424734437424 = 243111747318899
BaseRepresentation
bin1100010111001000010…
…01010011000000110000
31111121022110202222102210
412023210021103000300
523424324003444144
6523041553012120
742454213102323
oct6134411230060
91447273688383
10424734437424
11154146576320
126a396854040
133108ab4372b
14167b317c7ba
15b0ad110ab9
hex62e4253030

424734437424 has 80 divisors (see below), whose sum is σ = 1267389417600. Its totient is φ = 121136378880.

The previous prime is 424734437419. The next prime is 424734437447.

424734437424 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 23650474 + ... + 23668425.

It is an arithmetic number, because the mean of its divisors is an integer number (15842367720).

Almost surely, 2424734437424 is an apocalyptic number.

424734437424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

424734437424 is an abundant number, since it is smaller than the sum of its proper divisors (842654980176).

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

424734437424 is a wasteful number, since it uses less digits than its factorization.

424734437424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47318938 (or 47318932 counting only the distinct ones).

The product of its digits is 7225344, while the sum is 48.

The spelling of 424734437424 in words is "four hundred twenty-four billion, seven hundred thirty-four million, four hundred thirty-seven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 33 34 44 48 51 66 68 88 102 132 136 176 187 204 264 272 374 408 528 561 748 816 1122 1496 2244 2992 4488 8976 47318899 94637798 141956697 189275596 283913394 378551192 520507889 567826788 757102384 804421283 1041015778 1135653576 1561523667 1608842566 2082031556 2271307152 2413263849 3123047334 3217685132 4164063112 4826527698 6246094668 6435370264 8328126224 8848634113 9653055396 12492189336 12870740528 17697268226 19306110792 24984378672 26545902339 35394536452 38612221584 53091804678 70789072904 106183609356 141578145808 212367218712 424734437424