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14137884384 = 2531311328433
BaseRepresentation
bin11010010101010111…
…01111111011100000
31100111021220221101120
431022223233323200
5212423244300014
610254515532240
71010231014551
oct151253577340
940437827346
1014137884384
115aa5515878
1228a68ba080
131444058280
1498192a328
1557b2bcba9
hex34aaefee0

14137884384 has 48 divisors (see below), whose sum is σ = 39966715152. Its totient is φ = 4350117888.

The previous prime is 14137884361. The next prime is 14137884389. The reversal of 14137884384 is 48348873141.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14137884389) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5662969 + ... + 5665464.

It is an arithmetic number, because the mean of its divisors is an integer number (832639899).

Almost surely, 214137884384 is an apocalyptic number.

It is an amenable number.

14137884384 is an abundant number, since it is smaller than the sum of its proper divisors (25828830768).

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

14137884384 is a wasteful number, since it uses less digits than its factorization.

14137884384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11328459 (or 11328451 counting only the distinct ones).

The product of its digits is 2064384, while the sum is 51.

The spelling of 14137884384 in words is "fourteen billion, one hundred thirty-seven million, eight hundred eighty-four thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 11328433 22656866 33985299 45313732 67970598 90627464 135941196 147269629 181254928 271882392 294539258 362509856 441808887 543764784 589078516 883617774 1087529568 1178157032 1767235548 2356314064 3534471096 4712628128 7068942192 14137884384