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14130151424 = 216251859
BaseRepresentation
bin11010010100011100…
…10000000000000000
31100110202101001202122
431022032100000000
5212414304321144
610254042103412
71010105206514
oct151216200000
940422331678
1014130151424
115aa11139a4
1228a41aab68
13144257b55c
149808b6144
1557a7917ee
hex34a390000

14130151424 has 68 divisors (see below), whose sum is σ = 28405707120. Its totient is φ = 7028736000.

The previous prime is 14130151417. The next prime is 14130151433. The reversal of 14130151424 is 42415103141.

It is a super-2 number, since 2×141301514242 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14130151393 and 14130151402.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16449107 + ... + 16449965.

Almost surely, 214130151424 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 14130151424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14202853560).

14130151424 is an abundant number, since it is smaller than the sum of its proper divisors (14275555696).

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

14130151424 is an frugal number, since it uses more digits than its factorization.

14130151424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1142 (or 1112 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

Adding to 14130151424 its reverse (42415103141), we get a palindrome (56545254565).

The spelling of 14130151424 in words is "fourteen billion, one hundred thirty million, one hundred fifty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 128 251 256 502 512 859 1004 1024 1718 2008 2048 3436 4016 4096 6872 8032 8192 13744 16064 16384 27488 32128 32768 54976 64256 65536 109952 128512 215609 219904 257024 431218 439808 514048 862436 879616 1028096 1724872 1759232 2056192 3449744 3518464 4112384 6899488 7036928 8224768 13798976 14073856 16449536 27597952 28147712 55195904 56295424 110391808 220783616 441567232 883134464 1766268928 3532537856 7065075712 14130151424