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16014400224 = 253166816669
BaseRepresentation
bin11101110101000100…
…00101101011100000
31112100001220211012020
432322202011223200
5230244141301344
611205032101440
71104565104324
oct167242055340
945301824166
1016014400224
116878790a09
12312b234880
131682a58884
14abcc3d984
1563addc719
hex3ba885ae0

16014400224 has 24 divisors (see below), whose sum is σ = 42037800840. Its totient is φ = 5338133376.

The previous prime is 16014400219. The next prime is 16014400327. The reversal of 16014400224 is 42200441061.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×160144002242 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 16014400194 and 16014400203.

It is a congruent number.

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, 83408239 + ... + 83408430.

It is an arithmetic number, because the mean of its divisors is an integer number (1751575035).

Almost surely, 216014400224 is an apocalyptic number.

It is an amenable number.

16014400224 is an abundant number, since it is smaller than the sum of its proper divisors (26023400616).

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

16014400224 is a wasteful number, since it uses less digits than its factorization.

16014400224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166816682 (or 166816674 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 16014400224 its reverse (42200441061), we get a palindrome (58214841285).

The spelling of 16014400224 in words is "sixteen billion, fourteen million, four hundred thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 166816669 333633338 500450007 667266676 1000900014 1334533352 2001800028 2669066704 4003600056 5338133408 8007200112 16014400224