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15714431430 = 2356110185021
BaseRepresentation
bin11101010001010011…
…10011000111000110
31111120011110211100220
432220221303013012
5224140343301210
611115154445210
71064263314615
oct165051630706
944504424326
1015714431430
116734428a15
123066893806
13163586c049
14a9107787c
1561e8d7c70
hex3a8a731c6

15714431430 has 64 divisors (see below), whose sum is σ = 38712897216. Its totient is φ = 4080960000.

The previous prime is 15714431419. The next prime is 15714431437. The reversal of 15714431430 is 3413441751.

15714431430 is digitally balanced in base 2 and base 5, because in such bases 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 = 15714431391 and 15714431400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15714431437) 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 31 ways as a sum of consecutive naturals, for example, 142320 + ... + 227340.

It is an arithmetic number, because the mean of its divisors is an integer number (604889019).

Almost surely, 215714431430 is an apocalyptic number.

15714431430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 15714431430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19356448608).

15714431430 is an abundant number, since it is smaller than the sum of its proper divisors (22998465786).

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

15714431430 is a wasteful number, since it uses less digits than its factorization.

15714431430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85193.

The product of its (nonzero) digits is 20160, while the sum is 33.

The spelling of 15714431430 in words is "fifteen billion, seven hundred fourteen million, four hundred thirty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 61 101 122 183 202 303 305 366 505 606 610 915 1010 1515 1830 3030 6161 12322 18483 30805 36966 61610 85021 92415 170042 184830 255063 425105 510126 850210 1275315 2550630 5186281 8587121 10372562 15558843 17174242 25761363 25931405 31117686 42935605 51522726 51862810 77794215 85871210 128806815 155588430 257613630 523814381 1047628762 1571443143 2619071905 3142886286 5238143810 7857215715 15714431430