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14481500928 = 28397349557
BaseRepresentation
bin11010111110010101…
…00010101100000000
31101101020111110200020
431133022202230000
5214124231012203
610352552453440
71021602504216
oct153712425400
941336443606
1014481500928
11616147aa94
1229819aa280
13149a2b7a7b
149b5414cb6
1559b545153
hex35f2a2b00

14481500928 has 144 divisors (see below), whose sum is σ = 39120933600. Its totient is φ = 4755161088.

The previous prime is 14481500923. The next prime is 14481500939. The reversal of 14481500928 is 82900518441.

It is a super-2 number, since 2×144815009282 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14481500928.

It is not an unprimeable number, because it can be changed into a prime (14481500923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25998826 + ... + 25999382.

It is an arithmetic number, because the mean of its divisors is an integer number (271673150).

Almost surely, 214481500928 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 14481500928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19560466800).

14481500928 is an abundant number, since it is smaller than the sum of its proper divisors (24639432672).

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

14481500928 is an equidigital number, since it uses as much as digits as its factorization.

14481500928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 42.

The spelling of 14481500928 in words is "fourteen billion, four hundred eighty-one million, five hundred thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 97 128 192 194 256 291 349 384 388 557 582 698 768 776 1047 1114 1164 1396 1552 1671 2094 2228 2328 2792 3104 3342 4188 4456 4656 5584 6208 6684 8376 8912 9312 11168 12416 13368 16752 17824 18624 22336 24832 26736 33504 33853 35648 37248 44672 53472 54029 67008 67706 71296 74496 89344 101559 106944 108058 134016 135412 142592 162087 194393 203118 213888 216116 268032 270824 324174 388786 406236 427776 432232 541648 583179 648348 777572 812472 864464 1083296 1166358 1296696 1555144 1624944 1728928 2166592 2332716 2593392 3110288 3249888 3457856 4333184 4665432 5186784 6220576 6499776 6915712 8666368 9330864 10373568 12441152 12999552 13831424 18661728 18856121 20747136 24882304 25999104 37323456 37712242 41494272 49764608 56568363 74646912 75424484 113136726 149293824 150848968 226273452 301697936 452546904 603395872 905093808 1206791744 1810187616 2413583488 3620375232 4827166976 7240750464 14481500928