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42181431678 = 23237113560491
BaseRepresentation
bin100111010010001101…
…011001000101111110
311000212200210202012100
4213102031121011332
51142341421303203
631213342245530
73022203152631
oct472215310576
9130780722170
1042181431678
1116986355a41
1282125868a6
133c92cb2339
1420821b3c18
15116d286ea3
hex9d235917e

42181431678 has 48 divisors (see below), whose sum is σ = 94694002416. Its totient is φ = 13559374080.

The previous prime is 42181431629. The next prime is 42181431697. The reversal of 42181431678 is 87613418124.

42181431678 is a `hidden beast` number, since 421 + 8 + 143 + 16 + 78 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 204988 + ... + 355503.

It is an arithmetic number, because the mean of its divisors is an integer number (1972791717).

Almost surely, 242181431678 is an apocalyptic number.

42181431678 is an abundant number, since it is smaller than the sum of its proper divisors (52512570738).

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

42181431678 is a wasteful number, since it uses less digits than its factorization.

42181431678 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560649 (or 560646 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The spelling of 42181431678 in words is "forty-two billion, one hundred eighty-one million, four hundred thirty-one thousand, six hundred seventy-eight".

Divisors: 1 2 3 6 9 18 37 74 111 113 222 226 333 339 666 678 1017 2034 4181 8362 12543 25086 37629 75258 560491 1120982 1681473 3362946 5044419 10088838 20738167 41476334 62214501 63335483 124429002 126670966 186643503 190006449 373287006 380012898 570019347 1140038694 2343412871 4686825742 7030238613 14060477226 21090715839 42181431678