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42142625334 = 23223151674131
BaseRepresentation
bin100111001111111001…
…010110111000110110
311000202222210011220100
4213033321112320312
51142302003002314
631205434414530
73021222255615
oct471771267066
9130688704810
1042142625334
1116966460187
128201591446
133c87c45bc4
14207ad9187c
151169b6dc09
hex9cfe56e36

42142625334 has 48 divisors (see below), whose sum is σ = 95910107904. Its totient is φ = 13347774000.

The previous prime is 42142625323. The next prime is 42142625353. The reversal of 42142625334 is 43352624124.

42142625334 is a `hidden beast` number, since 4 + 21 + 4 + 2 + 625 + 3 + 3 + 4 = 666.

It is a super-2 number, since 2×421426253342 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 274552 + ... + 399579.

It is an arithmetic number, because the mean of its divisors is an integer number (1998127248).

Almost surely, 242142625334 is an apocalyptic number.

42142625334 is an abundant number, since it is smaller than the sum of its proper divisors (53767482570).

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

42142625334 is a wasteful number, since it uses less digits than its factorization.

42142625334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674313 (or 674310 counting only the distinct ones).

The product of its digits is 138240, while the sum is 36.

The spelling of 42142625334 in words is "forty-two billion, one hundred forty-two million, six hundred twenty-five thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 18 23 46 69 138 151 207 302 414 453 906 1359 2718 3473 6946 10419 20838 31257 62514 674131 1348262 2022393 4044786 6067179 12134358 15505013 31010026 46515039 93030078 101793781 139545117 203587562 279090234 305381343 610762686 916144029 1832288058 2341256963 4682513926 7023770889 14047541778 21071312667 42142625334