Search a number
-
+
14005021504 = 262971106279
BaseRepresentation
bin11010000101100001…
…11010101101000000
31100011000220210210011
431002300322231000
5212140241142004
610233412114304
71004025501325
oct150260725500
940130823704
1014005021504
115a37518a41
12286a305994
131422679696
1496c022b4c
1556e7c6004
hex342c3ab40

14005021504 has 56 divisors (see below), whose sum is σ = 29154729600. Its totient is φ = 6665756160.

The previous prime is 14005021483. The next prime is 14005021519. The reversal of 14005021504 is 40512050041.

It is a super-2 number, since 2×140050215042 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78637 + ... + 184915.

Almost surely, 214005021504 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 14005021504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14577364800).

14005021504 is an abundant number, since it is smaller than the sum of its proper divisors (15149708096).

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

14005021504 is a wasteful number, since it uses less digits than its factorization.

14005021504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106391 (or 106381 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

Adding to 14005021504 its reverse (40512050041), we get a palindrome (54517071545).

The spelling of 14005021504 in words is "fourteen billion, five million, twenty-one thousand, five hundred four".

Divisors: 1 2 4 8 16 29 32 58 64 71 116 142 232 284 464 568 928 1136 1856 2059 2272 4118 4544 8236 16472 32944 65888 106279 131776 212558 425116 850232 1700464 3082091 3400928 6164182 6801856 7545809 12328364 15091618 24656728 30183236 49313456 60366472 98626912 120732944 197253824 218828461 241465888 437656922 482931776 875313844 1750627688 3501255376 7002510752 14005021504