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1214338257 = 331129140989
BaseRepresentation
bin100100001100001…
…0101010011010001
310010121222202221000
41020120111103101
54441332311012
6320255252213
742043463526
oct11030252321
93117882830
101214338257
1157350a340
1229a81a069
13164774862
14b73c314d
157191dddc
hex486154d1

1214338257 has 32 divisors (see below), whose sum is σ = 2030256000. Its totient is φ = 710579520.

The previous prime is 1214338219. The next prime is 1214338259. The reversal of 1214338257 is 7528334121.

It is not a de Polignac number, because 1214338257 - 224 = 1197561041 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1214338259) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61882 + ... + 79107.

It is an arithmetic number, because the mean of its divisors is an integer number (63445500).

Almost surely, 21214338257 is an apocalyptic number.

It is an amenable number.

1214338257 is a deficient number, since it is larger than the sum of its proper divisors (815917743).

1214338257 is a wasteful number, since it uses less digits than its factorization.

1214338257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141038 (or 141032 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 1214338257 is about 34847.3565281500. The cubic root of 1214338257 is about 1066.8742319483.

The spelling of 1214338257 in words is "one billion, two hundred fourteen million, three hundred thirty-eight thousand, two hundred fifty-seven".

Divisors: 1 3 9 11 27 29 33 87 99 261 297 319 783 957 2871 8613 140989 422967 1268901 1550879 3806703 4088681 4652637 12266043 13957911 36798129 41873733 44975491 110394387 134926473 404779419 1214338257