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1314024232125 = 35311769414241
BaseRepresentation
bin10011000111110001111…
…100101001010010111101
311122121201121102021000210
4103013301330221102331
5133012110200412000
62443353203343033
7163635513453453
oct23076174512275
94577647367023
101314024232125
11467302471380
12192800081a79
1396bb173bb47
1447855d6c9d3
15242aa243350
hex131f1f294bd

1314024232125 has 64 divisors (see below), whose sum is σ = 2388419953920. Its totient is φ = 636272640000.

The previous prime is 1314024232117. The next prime is 1314024232153. The reversal of 1314024232125 is 5212324204131.

It is a happy number.

It is not a de Polignac number, because 1314024232125 - 23 = 1314024232117 is a prime.

It is a super-2 number, since 2×13140242321252 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1314024232092 and 1314024232101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2965005 + ... + 3379245.

It is an arithmetic number, because the mean of its divisors is an integer number (37319061780).

Almost surely, 21314024232125 is an apocalyptic number.

1314024232125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1314024232125 is a deficient number, since it is larger than the sum of its proper divisors (1074395721795).

1314024232125 is a wasteful number, since it uses less digits than its factorization.

1314024232125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415039 (or 415029 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 1314024232125 its reverse (5212324204131), we get a palindrome (6526348436256).

The spelling of 1314024232125 in words is "one trillion, three hundred fourteen billion, twenty-four million, two hundred thirty-two thousand, one hundred twenty-five".

Divisors: 1 3 5 11 15 25 33 55 75 125 165 275 375 769 825 1375 2307 3845 4125 8459 11535 19225 25377 42295 57675 96125 126885 211475 288375 414241 634425 1057375 1242723 2071205 3172125 4556651 6213615 10356025 13669953 22783255 31068075 51780125 68349765 113916275 155340375 318551329 341748825 569581375 955653987 1592756645 1708744125 3504064619 4778269935 7963783225 10512193857 17520323095 23891349675 39818916125 52560969285 87601615475 119456748375 262804846425 438008077375 1314024232125