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104031241314 = 2371113313491601
BaseRepresentation
bin110000011100010111…
…1101100010001100010
3100221112010010121201120
41200320233230101202
53201023444210224
6115442530313110
710341663650430
oct1407057542142
9327463117646
10104031241314
1140134a183a0
12181b3a28796
139a6ba4c130
14506c5c7d50
152a8d0d1779
hex1838bec462

104031241314 has 256 divisors, whose sum is σ = 289375027200. Its totient is φ = 24053760000.

The previous prime is 104031241297. The next prime is 104031241331. The reversal of 104031241314 is 413142130401.

It is an interprime number because it is at equal distance from previous prime (104031241297) and next prime (104031241331).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 64978114 + ... + 64979714.

It is an arithmetic number, because the mean of its divisors is an integer number (1130371200).

Almost surely, 2104031241314 is an apocalyptic number.

104031241314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 104031241314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144687513600).

104031241314 is an abundant number, since it is smaller than the sum of its proper divisors (185343785886).

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

104031241314 is a wasteful number, since it uses less digits than its factorization.

104031241314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2017.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 104031241314 its reverse (413142130401), we get a palindrome (517173371715).

The spelling of 104031241314 in words is "one hundred four billion, thirty-one million, two hundred forty-one thousand, three hundred fourteen".