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42145654124 = 22710314613611
BaseRepresentation
bin100111010000000100…
…111010010101101100
311000210012111001121202
4213100010322111230
51142303241412444
631210023345032
73021260102120
oct472004722554
9130705431552
1042145654124
1116968139812
1282025b2178
133c887666a2
14207b53d580
15116a06b34e
hex9d013a56c

42145654124 has 24 divisors (see below), whose sum is σ = 85109676288. Its totient is φ = 17887058640.

The previous prime is 42145654123. The next prime is 42145654163.

42145654124 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (42145654123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7303922 + ... + 7309689.

It is an arithmetic number, because the mean of its divisors is an integer number (3546236512).

Almost surely, 242145654124 is an apocalyptic number.

It is an amenable number.

42145654124 is an abundant number, since it is smaller than the sum of its proper divisors (42964022164).

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

42145654124 is a wasteful number, since it uses less digits than its factorization.

42145654124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14613725 (or 14613723 counting only the distinct ones).

The product of its digits is 153600, while the sum is 38.

The spelling of 42145654124 in words is "forty-two billion, one hundred forty-five million, six hundred fifty-four thousand, one hundred twenty-four".

Divisors: 1 2 4 7 14 28 103 206 412 721 1442 2884 14613611 29227222 58454444 102295277 204590554 409181108 1505201933 3010403866 6020807732 10536413531 21072827062 42145654124