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104404220314344 = 23321450058615477
BaseRepresentation
bin10111101111010010000000…
…011101110000001011101000
3111200122221112121211210010100
4113233102000131300023220
5102141024320400024334
61010014345304545400
730663645623136006
oct2757220035601350
9450587477753110
10104404220314344
11302a2643611835
12b8622a2182260
134634377a1bc22
141bad296a17a76
15c10bd7916c99
hex5ef4807702e8

104404220314344 has 24 divisors (see below), whose sum is σ = 282761430018210. Its totient is φ = 34801406771424.

The previous prime is 104404220314321. The next prime is 104404220314379. The reversal of 104404220314344 is 443413022404401.

104404220314344 is a `hidden beast` number, since 1 + 0 + 4 + 404 + 2 + 203 + 1 + 4 + 3 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 103438053202500 + 966167111844 = 10170450^2 + 982938^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a junction number, because it is equal to n+sod(n) for n = 104404220314299 and 104404220314308.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 725029307667 + ... + 725029307810.

Almost surely, 2104404220314344 is an apocalyptic number.

It is an amenable number.

104404220314344 is an abundant number, since it is smaller than the sum of its proper divisors (178357209703866).

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

104404220314344 is a wasteful number, since it uses less digits than its factorization.

104404220314344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1450058615489 (or 1450058615482 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 104404220314344 its reverse (443413022404401), we get a palindrome (547817242718745).

The spelling of 104404220314344 in words is "one hundred four trillion, four hundred four billion, two hundred twenty million, three hundred fourteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1450058615477 2900117230954 4350175846431 5800234461908 8700351692862 11600468923816 13050527539293 17400703385724 26101055078586 34801406771448 52202110157172 104404220314344