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42358063104 = 21433713679
BaseRepresentation
bin100111011100101111…
…001100000000000000
311001100000011112222000
4213130233030000000
51143222131004404
631243052144000
73026446411230
oct473457140000
9131300145860
1042358063104
1116a67027825
128261768000
133cc0776b86
14209b831cc0
15117da27339
hex9dcbcc000

42358063104 has 240 divisors, whose sum is σ = 143440819200. Its totient is φ = 12101419008.

The previous prime is 42358063043. The next prime is 42358063127. The reversal of 42358063104 is 40136085324.

42358063104 is a `hidden beast` number, since 4 + 2 + 3 + 580 + 63 + 10 + 4 = 666.

It is a super-2 number, since 2×423580631042 (a number of 22 digits) contains 22 as substring.

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

It is a zygodrome in base 3.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3089737 + ... + 3103415.

It is an arithmetic number, because the mean of its divisors is an integer number (597670080).

Almost surely, 242358063104 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 42358063104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71720409600).

42358063104 is an abundant number, since it is smaller than the sum of its proper divisors (101082756096).

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

42358063104 is an equidigital number, since it uses as much as digits as its factorization.

42358063104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13723 (or 13691 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

It can be divided in two parts, 423580 and 63104, that added together give a palindrome (486684).

The spelling of 42358063104 in words is "forty-two billion, three hundred fifty-eight million, sixty-three thousand, one hundred four".