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14830238976 = 28377934919
BaseRepresentation
bin11011100111111001…
…10111110100000000
31102021112201012100020
431303330313310000
5220333020121401
610451331253440
71033335644220
oct156374676400
942245635306
1014830238976
116320313053
122a5a74a280
13152461b747
14a09874080
155bbe7ed36
hex373f37d00

14830238976 has 144 divisors (see below), whose sum is σ = 45680947200. Its totient is φ = 4183455744.

The previous prime is 14830238971. The next prime is 14830238987. The reversal of 14830238976 is 67983203841.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14830238971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 407245 + ... + 442163.

It is an arithmetic number, because the mean of its divisors is an integer number (317228800).

Almost surely, 214830238976 is an apocalyptic number.

14830238976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14830238976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22840473600).

14830238976 is an abundant number, since it is smaller than the sum of its proper divisors (30850708224).

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

14830238976 is an equidigital number, since it uses as much as digits as its factorization.

14830238976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35024 (or 35010 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The spelling of 14830238976 in words is "fourteen billion, eight hundred thirty million, two hundred thirty-eight thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 79 84 96 112 128 158 168 192 224 237 256 316 336 384 448 474 553 632 672 768 896 948 1106 1264 1344 1659 1792 1896 2212 2528 2688 3318 3792 4424 5056 5376 6636 7584 8848 10112 13272 15168 17696 20224 26544 30336 34919 35392 53088 60672 69838 70784 104757 106176 139676 141568 209514 212352 244433 279352 419028 424704 488866 558704 733299 838056 977732 1117408 1466598 1676112 1955464 2234816 2758601 2933196 3352224 3910928 4469632 5517202 5866392 6704448 7821856 8275803 8939264 11034404 11732784 13408896 15643712 16551606 19310207 22068808 23465568 26817792 31287424 33103212 38620414 44137616 46931136 57930621 62574848 66206424 77240828 88275232 93862272 115861242 132412848 154481656 176550464 187724544 231722484 264825696 308963312 353100928 463444968 529651392 617926624 706201856 926889936 1059302784 1235853248 1853779872 2118605568 2471706496 3707559744 4943412992 7415119488 14830238976