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201314454402444 = 223131128062630027
BaseRepresentation
bin101101110001100000101100…
…100010101111010110001100
3222101210110210110111020100020
4231301200230202233112030
5202341314000311334234
61552054330021102140
760255326564351205
oct5561405442572614
9871713713436306
10201314454402444
1159165a87286a89
121a6b410b557950
138843b43b73976
14379d958b6c5ac
1518419b6e55549
hexb7182c8af58c

201314454402444 has 24 divisors (see below), whose sum is σ = 473319480583488. Its totient is φ = 66592567613520.

The previous prime is 201314454402443. The next prime is 201314454402473. The reversal of 201314454402444 is 444204454413102.

It is a super-2 number, since 2×2013144544024442 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 201314454402396 and 201314454402405.

It is not an unprimeable number, because it can be changed into a prime (201314454402443) 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 7 ways as a sum of consecutive naturals, for example, 64031313442 + ... + 64031316585.

It is an arithmetic number, because the mean of its divisors is an integer number (19721645024312).

Almost surely, 2201314454402444 is an apocalyptic number.

It is an amenable number.

201314454402444 is an abundant number, since it is smaller than the sum of its proper divisors (272005026181044).

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

201314454402444 is a wasteful number, since it uses less digits than its factorization.

201314454402444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128062630165 (or 128062630163 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 42.

The spelling of 201314454402444 in words is "two hundred one trillion, three hundred fourteen billion, four hundred fifty-four million, four hundred two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 131 262 393 524 786 1572 128062630027 256125260054 384187890081 512250520108 768375780162 1536751560324 16776204533537 33552409067074 50328613600611 67104818134148 100657227201222 201314454402444