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14314211003424 = 253197847703401
BaseRepresentation
bin1101000001001100100101…
…1101100100110000100000
31212200102110222100202100210
43100103021131210300200
53334011001004102144
650235505135214120
73005111330664663
oct320231135446040
955612428322323
1014314211003424
114619693a39112
121732234377340
137caa93ccc207
14376b50ad16da
1519c52aebeab9
hexd04c9764c20

14314211003424 has 48 divisors (see below), whose sum is σ = 39552425146080. Its totient is φ = 4520277158400.

The previous prime is 14314211003399. The next prime is 14314211003429. The reversal of 14314211003424 is 42430011241341.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 14314211003391 and 14314211003400.

It is not an unprimeable number, because it can be changed into a prime (14314211003429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3923849877 + ... + 3923853524.

It is an arithmetic number, because the mean of its divisors is an integer number (824008857210).

Almost surely, 214314211003424 is an apocalyptic number.

It is an amenable number.

14314211003424 is an abundant number, since it is smaller than the sum of its proper divisors (25238214142656).

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

14314211003424 is a wasteful number, since it uses less digits than its factorization.

14314211003424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7847703433 (or 7847703425 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 14314211003424 its reverse (42430011241341), we get a palindrome (56744222244765).

The spelling of 14314211003424 in words is "fourteen trillion, three hundred fourteen billion, two hundred eleven million, three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 7847703401 15695406802 23543110203 31390813604 47086220406 62781627208 94172440812 125563254416 149106364619 188344881624 251126508832 298212729238 376689763248 447319093857 596425458476 753379526496 894638187714 1192850916952 1789276375428 2385701833904 3578552750856 4771403667808 7157105501712 14314211003424