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14830241328 = 2432729507329
BaseRepresentation
bin11011100111111001…
…11000011000110000
31102021112201022120100
431303330320120300
5220333020210303
610451331312400
71033335654120
oct156374703060
942245638510
1014830241328
1163203148a1
122a5a74b700
13152461c836
14a09874c80
155bbe808a3
hex373f38630

14830241328 has 120 divisors (see below), whose sum is σ = 49068957600. Its totient is φ = 4091092992.

The previous prime is 14830241281. The next prime is 14830241347. The reversal of 14830241328 is 82314203841.

It is a happy number.

14830241328 is a `hidden beast` number, since 14 + 83 + 0 + 241 + 328 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14830241292 and 14830241301.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 224433 + ... + 282896.

It is an arithmetic number, because the mean of its divisors is an integer number (408907980).

Almost surely, 214830241328 is an apocalyptic number.

14830241328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

14830241328 is an abundant number, since it is smaller than the sum of its proper divisors (34238716272).

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

14830241328 is a wasteful number, since it uses less digits than its factorization.

14830241328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507379 (or 507370 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 14830241328 in words is "fourteen billion, eight hundred thirty million, two hundred forty-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 29 36 42 48 56 58 63 72 84 87 112 116 126 144 168 174 203 232 252 261 336 348 406 464 504 522 609 696 812 1008 1044 1218 1392 1624 1827 2088 2436 3248 3654 4176 4872 7308 9744 14616 29232 507329 1014658 1521987 2029316 3043974 3551303 4058632 4565961 6087948 7102606 8117264 9131922 10653909 12175896 14205212 14712541 18263844 21307818 24351792 28410424 29425082 31961727 36527688 42615636 44137623 56820848 58850164 63923454 73055376 85231272 88275246 102987787 117700328 127846908 132412869 170462544 176550492 205975574 235400656 255693816 264825738 308963361 353100984 411951148 511387632 529651476 617926722 706201968 823902296 926890083 1059302952 1235853444 1647804592 1853780166 2118605904 2471706888 3707560332 4943413776 7415120664 14830241328