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42495118344 = 23337193739979
BaseRepresentation
bin100111100100111010…
…000000110000001000
311001200120001200102000
4213210322000300020
51144012222241334
631304425511000
73033032355210
oct474472006010
9131616050360
1042495118344
1117027428418
12829b642460
134012c92a53
1420b1b0b240
15118aa9b299
hex9e4e80c08

42495118344 has 256 divisors, whose sum is σ = 145847040000. Its totient is φ = 11191281408.

The previous prime is 42495118301. The next prime is 42495118349. The reversal of 42495118344 is 44381159424.

42495118344 is a `hidden beast` number, since 4 + 2 + 495 + 118 + 3 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 42495118344.

It is not an unprimeable number, because it can be changed into a prime (42495118349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1042947 + ... + 1082925.

It is an arithmetic number, because the mean of its divisors is an integer number (569715000).

Almost surely, 242495118344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42495118344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72923520000).

42495118344 is an abundant number, since it is smaller than the sum of its proper divisors (103351921656).

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

42495118344 is a wasteful number, since it uses less digits than its factorization.

42495118344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40057 (or 40047 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The spelling of 42495118344 in words is "forty-two billion, four hundred ninety-five million, one hundred eighteen thousand, three hundred forty-four".