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42141303168 = 273109742977
BaseRepresentation
bin100111001111110100…
…010100000110000000
311000202220022000020020
4213033310110012000
51142301133200133
631205350213440
73021205111116
oct471764240600
9130686260206
1042141303168
1116965737888
128201054280
133c878a2163
14207ab29ab6
1511699ac0b3
hex9cfd14180

42141303168 has 32 divisors (see below), whose sum is σ = 111937837560. Its totient is φ = 14047100928.

The previous prime is 42141303167. The next prime is 42141303203. The reversal of 42141303168 is 86130314124.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42141303167) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 54871105 + ... + 54871872.

Almost surely, 242141303168 is an apocalyptic number.

42141303168 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

42141303168 is an abundant number, since it is smaller than the sum of its proper divisors (69796534392).

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

42141303168 is a wasteful number, since it uses less digits than its factorization.

42141303168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109742994 (or 109742982 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The spelling of 42141303168 in words is "forty-two billion, one hundred forty-one million, three hundred three thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 109742977 219485954 329228931 438971908 658457862 877943816 1316915724 1755887632 2633831448 3511775264 5267662896 7023550528 10535325792 14047101056 21070651584 42141303168