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214235740137 = 31731609122247
BaseRepresentation
bin1100011110000101110…
…0011111011111101001
3202110222110100012202010
43013201130133133221
512002223322141022
6242230223230133
721322650513366
oct3074134373751
9673873305663
10214235740137
11829475434a1
123562b148349
1317282719c53
14a524a0146d
15588d12150c
hex31e171f7e9

214235740137 has 32 divisors (see below), whose sum is σ = 312272216064. Its totient is φ = 130059014400.

The previous prime is 214235740127. The next prime is 214235740141. The reversal of 214235740137 is 731047532412.

It is not a de Polignac number, because 214235740137 - 222 = 214231545833 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 214235740095 and 214235740104.

It is not an unprimeable number, because it can be changed into a prime (214235740127) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 9618748 + ... + 9640994.

It is an arithmetic number, because the mean of its divisors is an integer number (9758506752).

Almost surely, 2214235740137 is an apocalyptic number.

It is an amenable number.

214235740137 is a deficient number, since it is larger than the sum of its proper divisors (98036475927).

214235740137 is a wasteful number, since it uses less digits than its factorization.

214235740137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28389.

The product of its (nonzero) digits is 141120, while the sum is 39.

The spelling of 214235740137 in words is "two hundred fourteen billion, two hundred thirty-five million, seven hundred forty thousand, one hundred thirty-seven".

Divisors: 1 3 17 31 51 93 527 1581 6091 18273 22247 66741 103547 188821 310641 378199 566463 689657 1134597 2068971 3209957 9629871 11724169 35172507 135506477 406519431 2303610109 4200700787 6910830327 12602102361 71411913379 214235740137