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214006160601044 = 22741811122983173
BaseRepresentation
bin110000101010001100110001…
…001011101010111111010100
31001001201210022021210222012222
4300222030301023222333110
5211022234104103213134
62035053023431401512
763035302106145230
oct6052146113527724
91031653267728188
10214006160601044
1162209559591759
12200039b2223298
13925490464ca96
143abbd4c3495c0
1519b1bd0c4aa2e
hexc2a3312eafd4

214006160601044 has 48 divisors (see below), whose sum is σ = 438505721611776. Its totient is φ = 89468891961600.

The previous prime is 214006160600989. The next prime is 214006160601067. The reversal of 214006160601044 is 440106061600412.

214006160601044 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 214006160600995 and 214006160601013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2180159 + ... + 20803014.

It is an arithmetic number, because the mean of its divisors is an integer number (9135535866912).

Almost surely, 2214006160601044 is an apocalyptic number.

It is an amenable number.

214006160601044 is an abundant number, since it is smaller than the sum of its proper divisors (224499561010732).

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

214006160601044 is a wasteful number, since it uses less digits than its factorization.

214006160601044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22991336 (or 22991334 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The spelling of 214006160601044 in words is "two hundred fourteen trillion, six billion, one hundred sixty million, six hundred one thousand, forty-four".

Divisors: 1 2 4 7 14 28 41 82 164 287 574 1148 8111 16222 32444 56777 113554 227108 332551 665102 1330204 2327857 4655714 9311428 22983173 45966346 91932692 160882211 321764422 643528844 942310093 1884620186 3769240372 6596170651 13192341302 26384682604 186416516203 372833032406 745666064812 1304915613421 2609831226842 5219662453684 7643077164323 15286154328646 30572308657292 53501540150261 107003080300522 214006160601044