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14323320415125 = 325317373594453
BaseRepresentation
bin1101000001101110100001…
…1011001110001110010101
31212201021222211022211000100
43100123220123032032111
53334133130011241000
650244013105404313
73005553142500411
oct320335033161625
955637884284010
1014323320415125
114622538a69a37
121733b57039699
137cb8b6339b57
14377376867d41
1519c8b0aaea00
hexd06e86ce395

14323320415125 has 48 divisors (see below), whose sum is σ = 25969422171888. Its totient is φ = 7594947446400.

The previous prime is 14323320415093. The next prime is 14323320415231. The reversal of 14323320415125 is 52151402332341.

14323320415125 is a `hidden beast` number, since 1 + 4 + 3 + 233 + 2 + 0 + 415 + 1 + 2 + 5 = 666.

14323320415125 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 2419122954609 + 11904197460516 = 1555353^2 + 3450246^2 .

It is not a de Polignac number, because 14323320415125 - 25 = 14323320415093 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 14323320415125.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36602602 + ... + 36991851.

It is an arithmetic number, because the mean of its divisors is an integer number (541029628581).

Almost surely, 214323320415125 is an apocalyptic number.

14323320415125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14323320415125 is a deficient number, since it is larger than the sum of its proper divisors (11646101756763).

14323320415125 is a wasteful number, since it uses less digits than its factorization.

14323320415125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73594647 (or 73594634 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 14323320415125 its reverse (52151402332341), we get a palindrome (66474722747466).

The spelling of 14323320415125 in words is "fourteen trillion, three hundred twenty-three billion, three hundred twenty million, four hundred fifteen thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 173 225 375 519 865 1125 1557 2595 4325 7785 12975 21625 38925 64875 194625 73594453 220783359 367972265 662350077 1103916795 1839861325 3311750385 5519583975 9199306625 12731840369 16558751925 27597919875 38195521107 63659201845 82793759625 114586563321 190977605535 318296009225 572932816605 954888027675 1591480046125 2864664083025 4774440138375 14323320415125