Search a number
-
+
42495151104 = 2103274315319
BaseRepresentation
bin100111100100111010…
…001000110000000000
311001200120010100100100
4213210322020300000
51144012224313404
631304430322400
73033032552550
oct474472106000
9131616110310
1042495151104
111702744aa9a
12829b659400
134012ca4933
1420b1b19160
15118aaa5d39
hex9e4e88c00

42495151104 has 264 divisors, whose sum is σ = 143503543040. Its totient is φ = 11858337792.

The previous prime is 42495151093. The next prime is 42495151121. The reversal of 42495151104 is 40115159424.

42495151104 is a `hidden beast` number, since 4 + 2 + 495 + 151 + 10 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2766357 + ... + 2781675.

Almost surely, 242495151104 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 42495151104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71751771520).

42495151104 is an abundant number, since it is smaller than the sum of its proper divisors (101008391936).

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

42495151104 is a wasteful number, since it uses less digits than its factorization.

42495151104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15395 (or 15374 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 42495151104 in words is "forty-two billion, four hundred ninety-five million, one hundred fifty-one thousand, one hundred four".