Search a number
-
+
104042230296480 = 25325749920684669
BaseRepresentation
bin10111101010000000111000…
…001011011010111110100000
3111122101100011220202120022200
4113222000320023122332200
5102114111441423441410
61005140201334333200
730625542312560310
oct2752007013327640
9448340156676280
10104042230296480
1130173075699613
12b8040b84ba200
1346091a90a2498
141b99956a05440
15c0659ce653c0
hex5ea0382dafa0

104042230296480 has 288 divisors, whose sum is σ = 406577873520000. Its totient is φ = 23733422585856.

The previous prime is 104042230296467. The next prime is 104042230296527. The reversal of 104042230296480 is 84692032240401.

104042230296480 is a `hidden beast` number, since 1 + 0 + 40 + 42 + 2 + 3 + 0 + 2 + 96 + 480 = 666.

104042230296480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5312415 + ... + 15372254.

It is an arithmetic number, because the mean of its divisors is an integer number (1411728727500).

Almost surely, 2104042230296480 is an apocalyptic number.

104042230296480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104042230296480 is an abundant number, since it is smaller than the sum of its proper divisors (302535643223520).

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

104042230296480 is a wasteful number, since it uses less digits than its factorization.

104042230296480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20685196 (or 20685185 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 104042230296480 in words is "one hundred four trillion, forty-two billion, two hundred thirty million, two hundred ninety-six thousand, four hundred eighty".