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214231014152631 = 3372198522537063
BaseRepresentation
bin110000101101011110001011…
…011111111001100110110111
31001002112021200201102220002000
4300231132023133321212313
5211034430104110341011
62035344211431350343
763060452145615300
oct6055361337714667
91032467621386060
10214231014152631
1162295954553033
122003b4a52223b3
13926cb89a4aca8
143ac8b9d1717a7
1519b79910b5356
hexc2d78b7f99b7

214231014152631 has 48 divisors (see below), whose sum is σ = 388627690118400. Its totient is φ = 115974684339696.

The previous prime is 214231014152599. The next prime is 214231014152633. The reversal of 214231014152631 is 136251410132412.

214231014152631 is a `hidden beast` number, since 2 + 1 + 4 + 2 + 3 + 1 + 0 + 1 + 4 + 15 + 2 + 631 = 666.

It is not a de Polignac number, because 214231014152631 - 25 = 214231014152599 is a prime.

It is a super-2 number, since 2×2142310141526312 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214231014152633) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4261243395 + ... + 4261293668.

It is an arithmetic number, because the mean of its divisors is an integer number (8096410210800).

Almost surely, 2214231014152631 is an apocalyptic number.

214231014152631 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

214231014152631 is a deficient number, since it is larger than the sum of its proper divisors (174396675965769).

214231014152631 is a wasteful number, since it uses less digits than its factorization.

214231014152631 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8522537105 (or 8522537092 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 214231014152631 in words is "two hundred fourteen trillion, two hundred thirty-one billion, fourteen million, one hundred fifty-two thousand, six hundred thirty-one".

Divisors: 1 3 7 9 19 21 27 49 57 63 133 147 171 189 399 441 513 931 1197 1323 2793 3591 8379 25137 8522537063 25567611189 59657759441 76702833567 161928204197 178973278323 230108500701 417604316087 485784612591 536919834969 1133497429379 1252812948261 1457353837773 1610759504907 3400492288137 3758438844783 4372061513319 7934482005653 10201476864411 11275316534349 23803446016959 30604430593233 71410338050877 214231014152631