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104144234100444 = 2233964298463893
BaseRepresentation
bin10111101011011111111000…
…000101000011011011011100
3111122202002110201220200212000
4113223133320011003123130
5102122244342412203234
61005255111202042300
730636113130603006
oct2753377005033334
9448662421820760
10104144234100444
113020235a12a24a
12b81ba25349390
1346159b3a8b835
141ba0871c31376
15c0906d064899
hex5eb7f81436dc

104144234100444 has 24 divisors (see below), whose sum is σ = 270003569890320. Its totient is φ = 34714744700112.

The previous prime is 104144234100427. The next prime is 104144234100451. The reversal of 104144234100444 is 444001432441401.

104144234100444 is a `hidden beast` number, since 1 + 0 + 41 + 4 + 42 + 34 + 100 + 444 = 666.

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 = 104144234100399 and 104144234100408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 482149231839 + ... + 482149232054.

It is an arithmetic number, because the mean of its divisors is an integer number (11250148745430).

Almost surely, 2104144234100444 is an apocalyptic number.

It is an amenable number.

104144234100444 is an abundant number, since it is smaller than the sum of its proper divisors (165859335789876).

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

104144234100444 is a wasteful number, since it uses less digits than its factorization.

104144234100444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964298463906 (or 964298463898 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 104144234100444 its reverse (444001432441401), we get a palindrome (548145666541845).

The spelling of 104144234100444 in words is "one hundred four trillion, one hundred forty-four billion, two hundred thirty-four million, one hundred thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 964298463893 1928596927786 2892895391679 3857193855572 5785790783358 8678686175037 11571581566716 17357372350074 26036058525111 34714744700148 52072117050222 104144234100444