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14144431032 = 2333269243433
BaseRepresentation
bin11010010110001001…
…01110001110111000
31100111202020112201000
431023010232032320
5212431433243112
610255312125000
71010340452154
oct151304561670
940452215630
1014144431032
115aa9187426
1228a8b36760
13144550b024
14982752064
1557bb627dc
hex34b12e3b8

14144431032 has 64 divisors (see below), whose sum is σ = 39436308000. Its totient is φ = 4697263872.

The previous prime is 14144431013. The next prime is 14144431099. The reversal of 14144431032 is 23013444141.

14144431032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 14144430987 and 14144431005.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 63613 + ... + 179820.

Almost surely, 214144431032 is an apocalyptic number.

14144431032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14144431032 is an abundant number, since it is smaller than the sum of its proper divisors (25291876968).

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

14144431032 is a wasteful number, since it uses less digits than its factorization.

14144431032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243717 (or 243707 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 14144431032 its reverse (23013444141), we get a palindrome (37157875173).

The spelling of 14144431032 in words is "fourteen billion, one hundred forty-four million, four hundred thirty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 269 538 807 1076 1614 2152 2421 3228 4842 6456 7263 9684 14526 19368 29052 58104 243433 486866 730299 973732 1460598 1947464 2190897 2921196 4381794 5842392 6572691 8763588 13145382 17527176 26290764 52581528 65483477 130966954 196450431 261933908 392900862 523867816 589351293 785801724 1178702586 1571603448 1768053879 2357405172 3536107758 4714810344 7072215516 14144431032