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42175457124 = 22373137351427
BaseRepresentation
bin100111010001110110…
…100110011101100100
311000212021120012122120
4213101312212131210
51142333404111444
631213010225540
73022101320253
oct472166463544
9130767505576
1042175457124
1116982a45199
1282105852b0
133c9199cab8
14208149a79a
15116c9a6b19
hex9d1da6764

42175457124 has 48 divisors (see below), whose sum is σ = 100485916608. Its totient is φ = 13764653568.

The previous prime is 42175457117. The next prime is 42175457209.

42175457124 is nontrivially palindromic in base 10.

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 15 ways as a sum of consecutive naturals, for example, 55702 + ... + 295725.

It is an arithmetic number, because the mean of its divisors is an integer number (2093456596).

Almost surely, 242175457124 is an apocalyptic number.

It is an amenable number.

42175457124 is an abundant number, since it is smaller than the sum of its proper divisors (58310459484).

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

42175457124 is a wasteful number, since it uses less digits than its factorization.

42175457124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351644 (or 351642 counting only the distinct ones).

The product of its digits is 313600, while the sum is 42.

The spelling of 42175457124 in words is "forty-two billion, one hundred seventy-five million, four hundred fifty-seven thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 12 73 137 146 219 274 292 411 438 548 822 876 1644 10001 20002 30003 40004 60006 120012 351427 702854 1054281 1405708 2108562 4217124 25654171 48145499 51308342 76962513 96290998 102616684 144436497 153925026 192581996 288872994 307850052 577745988 3514621427 7029242854 10543864281 14058485708 21087728562 42175457124