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642431142 = 233292771481
BaseRepresentation
bin100110010010101…
…011100010100110
31122202211212212000
4212102223202212
52303430244032
6143425310130
721630401043
oct4622534246
91582755760
10642431142
112aa6aa031
1215b195346
13a3133b92
14614701ca
153b5eee7c
hex264ab8a6

642431142 has 64 divisors (see below), whose sum is σ = 1483185600. Its totient is φ = 205873920.

The previous prime is 642431129. The next prime is 642431183. The reversal of 642431142 is 241134246.

It is a happy number.

642431142 is a `hidden beast` number, since 642 + 4 + 3 + 1 + 14 + 2 = 666.

It is a super-2 number, since 2×6424311422 = 825435544422848328, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 433042 + ... + 434522.

It is an arithmetic number, because the mean of its divisors is an integer number (23174775).

Almost surely, 2642431142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642431142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741592800).

642431142 is an abundant number, since it is smaller than the sum of its proper divisors (840754458).

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

642431142 is a wasteful number, since it uses less digits than its factorization.

642431142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1798 (or 1792 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 642431142 is about 25346.2253994554. The cubic root of 642431142 is about 862.8636923661.

Adding to 642431142 its reverse (241134246), we get a palindrome (883565388).

The spelling of 642431142 in words is "six hundred forty-two million, four hundred thirty-one thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 27 29 54 58 87 174 261 277 522 554 783 831 1481 1566 1662 2493 2962 4443 4986 7479 8033 8886 13329 14958 16066 24099 26658 39987 42949 48198 72297 79974 85898 128847 144594 216891 257694 386541 410237 433782 773082 820474 1159623 1230711 2319246 2461422 3692133 7384266 11076399 11896873 22152798 23793746 35690619 71381238 107071857 214143714 321215571 642431142