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211014400014 = 232111591966947
BaseRepresentation
bin1100010010000101110…
…0000011100000001110
3202011122221211011211200
43010201130003200032
511424124141300024
6240534430530330
721150063543255
oct3044134034016
9664587734750
10211014400014
1181544144a30
1234a903669a6
1316b8b219032
14a2dac5d79c
15575040a2c9
hex312170380e

211014400014 has 48 divisors (see below), whose sum is σ = 498800090880. Its totient is φ = 63938785680.

The previous prime is 211014399991. The next prime is 211014400031. The reversal of 211014400014 is 410004410112.

211014400014 is a `hidden beast` number, since 211 + 0 + 1 + 440 + 0 + 0 + 14 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 211014400014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3118489 + ... + 3185435.

It is an arithmetic number, because the mean of its divisors is an integer number (10391668560).

Almost surely, 2211014400014 is an apocalyptic number.

211014400014 is an abundant number, since it is smaller than the sum of its proper divisors (287785690866).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211014400014 is a wasteful number, since it uses less digits than its factorization.

211014400014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82885 (or 82882 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 211014400014 its reverse (410004410112), we get a palindrome (621018810126).

The spelling of 211014400014 in words is "two hundred eleven billion, fourteen million, four hundred thousand, fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 15919 31838 47757 66947 95514 133894 143271 175109 200841 286542 350218 401682 525327 602523 736417 1050654 1205046 1472834 1575981 2209251 3151962 4418502 6627753 13255506 1065729293 2131458586 3197187879 6394375758 9591563637 11723022223 19183127274 23446044446 35169066669 70338133338 105507200007 211014400014