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104414533344 = 25321132959133
BaseRepresentation
bin110000100111110010…
…1110101011011100000
3100222111211100212112200
41201033211311123200
53202320110031334
6115544541453200
710354326614052
oct1411745653340
9328454325480
10104414533344
1140311311370
12182a0271200
139b00290854
1450a747d8d2
152ab1a94799
hex184f9756e0

104414533344 has 72 divisors (see below), whose sum is σ = 323922368952. Its totient is φ = 31640766720.

The previous prime is 104414533331. The next prime is 104414533373. The reversal of 104414533344 is 443335414401.

104414533344 is a `hidden beast` number, since 104 + 4 + 14 + 533 + 3 + 4 + 4 = 666.

104414533344 is digitally balanced in base 7, 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 (72).

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 = 104414533299 and 104414533308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16476399 + ... + 16482734.

It is an arithmetic number, because the mean of its divisors is an integer number (4498921791).

Almost surely, 2104414533344 is an apocalyptic number.

It is an amenable number.

104414533344 is an abundant number, since it is smaller than the sum of its proper divisors (219507835608).

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

104414533344 is a wasteful number, since it uses less digits than its factorization.

104414533344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32959160 (or 32959149 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 104414533344 its reverse (443335414401), we get a palindrome (547749947745).

The spelling of 104414533344 in words is "one hundred four billion, four hundred fourteen million, five hundred thirty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 32959133 65918266 98877399 131836532 197754798 263673064 296632197 362550463 395509596 527346128 593264394 725100926 791019192 1054692256 1087651389 1186528788 1450201852 1582038384 2175302778 2373057576 2900403704 3164076768 3262954167 4350605556 4746115152 5800807408 6525908334 8701211112 9492230304 11601614816 13051816668 17402422224 26103633336 34804844448 52207266672 104414533344