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14330400132 = 22331223227761
BaseRepresentation
bin11010101100010100…
…01000110110000100
31100222201011202100110
431112022020312010
5213322040301012
610325554113020
71015056251136
oct152612106604
940881152313
1014330400132
1160941567a4
12293b27b770
131474bc1b09
1499d321056
1558d14973c
hex356288d84

14330400132 has 96 divisors (see below), whose sum is σ = 34869510144. Its totient is φ = 4575686400.

The previous prime is 14330400113. The next prime is 14330400167. The reversal of 14330400132 is 23100403341.

It is a junction number, because it is equal to n+sod(n) for n = 14330400099 and 14330400108.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18830632 + ... + 18831392.

It is an arithmetic number, because the mean of its divisors is an integer number (363224064).

Almost surely, 214330400132 is an apocalyptic number.

14330400132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14330400132 is an abundant number, since it is smaller than the sum of its proper divisors (20539110012).

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

14330400132 is a wasteful number, since it uses less digits than its factorization.

14330400132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1249 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 14330400132 its reverse (23100403341), we get a palindrome (37430803473).

The spelling of 14330400132 in words is "fourteen billion, three hundred thirty million, four hundred thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 31 62 93 124 186 223 227 372 446 454 669 681 761 892 908 1338 1362 1522 2283 2676 2724 3044 4566 6913 7037 9132 13826 14074 20739 21111 23591 27652 28148 41478 42222 47182 50621 70773 82956 84444 94364 101242 141546 151863 169703 172747 202484 283092 303726 339406 345494 509109 518241 607452 678812 690988 1018218 1036482 1569251 2036436 2072964 3138502 4707753 5260793 5355157 6277004 9415506 10521586 10710314 15782379 16065471 18831012 21043172 21420628 31564758 32130942 38522581 63129516 64261884 77045162 115567743 154090324 231135486 462270972 1194200011 2388400022 3582600033 4776800044 7165200066 14330400132