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53141142144 = 273167828673
BaseRepresentation
bin110001011111011101…
…010111101010000000
312002011111102201120210
4301133131113222000
51332313113022034
640225051034120
73560613153366
oct613735275200
9162144381523
1053141142144
112059a8756a2
12a370a3b940
13501b77140c
142801997636
1515b05188e9
hexc5f757a80

53141142144 has 64 divisors (see below), whose sum is σ = 142001576640. Its totient is φ = 17607622656.

The previous prime is 53141142139. The next prime is 53141142193. The reversal of 53141142144 is 44124114135.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 350209 + ... + 478464.

It is an arithmetic number, because the mean of its divisors is an integer number (2218774635).

Almost surely, 253141142144 is an apocalyptic number.

It is an amenable number.

53141142144 is an abundant number, since it is smaller than the sum of its proper divisors (88860434496).

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

53141142144 is a wasteful number, since it uses less digits than its factorization.

53141142144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828857 (or 828845 counting only the distinct ones).

The product of its digits is 7680, while the sum is 30.

Adding to 53141142144 its reverse (44124114135), we get a palindrome (97265256279).

The spelling of 53141142144 in words is "fifty-three billion, one hundred forty-one million, one hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 167 192 334 384 501 668 1002 1336 2004 2672 4008 5344 8016 10688 16032 21376 32064 64128 828673 1657346 2486019 3314692 4972038 6629384 9944076 13258768 19888152 26517536 39776304 53035072 79552608 106070144 138388391 159105216 276776782 318210432 415165173 553553564 830330346 1107107128 1660660692 2214214256 3321321384 4428428512 6642642768 8856857024 13285285536 17713714048 26570571072 53141142144