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214007954369 = 113113931714243
BaseRepresentation
bin1100011101001111011…
…1100011101111000001
3202110101120201111102012
43013103313203233001
512001242014014434
6242151445102305
721314213412056
oct3072367435701
9673346644365
10214007954369
118283aa026a0
12355869b7995
1317247484781
14a50266902d
1558781293ce
hex31d3de3bc1

214007954369 has 32 divisors (see below), whose sum is σ = 243510865920. Its totient is φ = 186319540800.

The previous prime is 214007954351. The next prime is 214007954401. The reversal of 214007954369 is 963459700412.

It is a cyclic number.

It is not a de Polignac number, because 214007954369 - 28 = 214007954113 is a prime.

It is a super-2 number, since 2×2140079543692 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (214007951369) 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, 15018362 + ... + 15032604.

It is an arithmetic number, because the mean of its divisors is an integer number (7609714560).

Almost surely, 2214007954369 is an apocalyptic number.

It is an amenable number.

214007954369 is a deficient number, since it is larger than the sum of its proper divisors (29502911551).

214007954369 is a wasteful number, since it uses less digits than its factorization.

214007954369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14741.

The product of its (nonzero) digits is 1632960, while the sum is 50.

The spelling of 214007954369 in words is "two hundred fourteen billion, seven million, nine hundred fifty-four thousand, three hundred sixty-nine".

Divisors: 1 11 31 139 317 341 1529 3487 4309 9827 14243 44063 47399 108097 156673 441533 484693 1365953 1979777 4515031 4856863 15025483 21777547 49665341 61373087 139965961 627589309 675103957 1539625571 6903482399 19455268579 214007954369