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53140145121 = 337373753793
BaseRepresentation
bin110001011111011001…
…100100001111100001
312002011102120001221000
4301133121210033201
51332312334120441
640225013422213
73560601531540
oct613731441741
9162142501830
1053140145121
112059a254608
12a37063a969
13501b4b266b
1428017b8157
1515b03bd2b6
hexc5f6643e1

53140145121 has 32 divisors (see below), whose sum is σ = 90214065920. Its totient is φ = 30284347392.

The previous prime is 53140145087. The next prime is 53140145129. The reversal of 53140145121 is 12154104135.

53140145121 is a `hidden beast` number, since 5 + 3 + 140 + 1 + 4 + 512 + 1 = 666.

It is not a de Polignac number, because 53140145121 - 217 = 53140014049 is a prime.

It is a super-3 number, since 3×531401451213 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (53140145129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 306400 + ... + 447393.

It is an arithmetic number, because the mean of its divisors is an integer number (2819189560).

Almost surely, 253140145121 is an apocalyptic number.

It is an amenable number.

53140145121 is a deficient number, since it is larger than the sum of its proper divisors (37073920799).

53140145121 is a wasteful number, since it uses less digits than its factorization.

53140145121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754182 (or 754176 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 53140145121 its reverse (12154104135), we get a palindrome (65294249256).

It can be divided in two parts, 5314014 and 5121, that added together give a palindrome (5319135).

The spelling of 53140145121 in words is "fifty-three billion, one hundred forty million, one hundred forty-five thousand, one hundred twenty-one".

Divisors: 1 3 7 9 21 27 63 189 373 1119 2611 3357 7833 10071 23499 70497 753793 2261379 5276551 6784137 15829653 20352411 47488959 142466877 281164789 843494367 1968153523 2530483101 5904460569 7591449303 17713381707 53140145121