Search a number
-
+
14440867331 = 1121923793457
BaseRepresentation
bin11010111001011111…
…00010011000000011
31101021102001001212012
431130233202120003
5214033330223311
610344541523135
71020600230012
oct153457423003
941242031765
1014440867331
116140547400
1229702734ab
131491a5ba17
149adc78a79
15597bba78b
hex35cbe2603

14440867331 has 48 divisors (see below), whose sum is σ = 17660697600. Its totient is φ = 11742382080.

The previous prime is 14440867319. The next prime is 14440867349. The reversal of 14440867331 is 13376804441.

14440867331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 14440867331 - 226 = 14373758467 is a prime.

It is a super-2 number, since 2×144408673312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14440807331) 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 47 ways as a sum of consecutive naturals, for example, 4175555 + ... + 4179011.

It is an arithmetic number, because the mean of its divisors is an integer number (367931200).

Almost surely, 214440867331 is an apocalyptic number.

14440867331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

14440867331 is a deficient number, since it is larger than the sum of its proper divisors (3219830269).

14440867331 is a wasteful number, since it uses less digits than its factorization.

14440867331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3600 (or 3589 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 41.

The spelling of 14440867331 in words is "fourteen billion, four hundred forty million, eight hundred sixty-seven thousand, three hundred thirty-one".

Divisors: 1 11 19 23 79 121 209 253 437 869 1501 1817 2299 2783 3457 4807 9559 16511 19987 34523 38027 52877 65683 79511 181621 219857 273103 379753 418297 722513 874621 1510709 3004133 4177283 5188957 6281369 7947643 9620831 16617799 33045463 57078527 69095059 119346011 182795789 627863797 760045649 1312806121 14440867331