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15114400434 = 2327119955559
BaseRepresentation
bin11100001001110001…
…10111001010110010
31110000100102002120200
432010320313022302
5221423241303214
610535442020030
71043356166250
oct160470671262
943010362520
1015114400434
116456759831
122b19947616
13156b462313
14a354c35d0
155d6db0d09
hex384e372b2

15114400434 has 24 divisors (see below), whose sum is σ = 37426134720. Its totient is φ = 4318400088.

The previous prime is 15114400403. The next prime is 15114400523. The reversal of 15114400434 is 43400441151.

15114400434 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 15114400398 and 15114400407.

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 11 ways as a sum of consecutive naturals, for example, 59977654 + ... + 59977905.

It is an arithmetic number, because the mean of its divisors is an integer number (1559422280).

Almost surely, 215114400434 is an apocalyptic number.

15114400434 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

15114400434 is an abundant number, since it is smaller than the sum of its proper divisors (22311734286).

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

15114400434 is a wasteful number, since it uses less digits than its factorization.

15114400434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119955574 (or 119955571 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 15114400434 its reverse (43400441151), we get a palindrome (58514841585).

The spelling of 15114400434 in words is "fifteen billion, one hundred fourteen million, four hundred thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 119955559 239911118 359866677 719733354 839688913 1079600031 1679377826 2159200062 2519066739 5038133478 7557200217 15114400434