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2053201313144 = 2317311439338431
BaseRepresentation
bin11101111000001100010…
…101011011110101111000
321021021200010111120122102
4131320030111123311320
5232114424014010034
64211121101442532
7301224146130212
oct35701425336570
97237603446572
102053201313144
11721837683883
12291b10b70448
1311b801612517
147153842b5b2
153861d92e97e
hex1de0c55bd78

2053201313144 has 64 divisors (see below), whose sum is σ = 4210635571200. Its totient is φ = 934391692800.

The previous prime is 2053201313131. The next prime is 2053201313183. The reversal of 2053201313144 is 4413131023502.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 5897609 + ... + 6236039.

It is an arithmetic number, because the mean of its divisors is an integer number (65791180800).

Almost surely, 22053201313144 is an apocalyptic number.

It is an amenable number.

2053201313144 is an abundant number, since it is smaller than the sum of its proper divisors (2157434258056).

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

2053201313144 is a wasteful number, since it uses less digits than its factorization.

2053201313144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339924 (or 339920 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

Adding to 2053201313144 its reverse (4413131023502), we get a palindrome (6466332336646).

The spelling of 2053201313144 in words is "two trillion, fifty-three billion, two hundred one million, three hundred thirteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 17 31 34 62 68 124 136 248 527 1054 1439 2108 2878 4216 5756 11512 24463 44609 48926 89218 97852 178436 195704 338431 356872 676862 758353 1353724 1516706 2707448 3033412 5753327 6066824 10491361 11506654 20982722 23013308 41965444 46026616 83930888 178353137 356706274 487002209 713412548 974004418 1426825096 1948008836 3896017672 8279037553 15097068479 16558075106 30194136958 33116150212 60388273916 66232300424 120776547832 256650164143 513300328286 1026600656572 2053201313144