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104404351140 = 223351737615039
BaseRepresentation
bin110000100111011111…
…0111111100010100100
3100222111010012120012000
41201032332333202210
53202310003214030
6115543535325300
710354144225245
oct1411676774244
9328433176160
10104404351140
1140306597321
1218298980830
139acb13708b
1450a5d8cccc
152ab0c32860
hex184efbf8a4

104404351140 has 384 divisors, whose sum is σ = 359077017600. Its totient is φ = 25072312320.

The previous prime is 104404351109. The next prime is 104404351141. The reversal of 104404351140 is 41153404401.

104404351140 is a `hidden beast` number, since 104 + 4 + 0 + 4 + 3 + 511 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (104404351141) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20716741 + ... + 20721779.

It is an arithmetic number, because the mean of its divisors is an integer number (935096400).

Almost surely, 2104404351140 is an apocalyptic number.

104404351140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104404351140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179538508800).

104404351140 is an abundant number, since it is smaller than the sum of its proper divisors (254672666460).

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

104404351140 is a wasteful number, since it uses less digits than its factorization.

104404351140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5172 (or 5164 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 104404351140 its reverse (41153404401), we get a palindrome (145557755541).

The spelling of 104404351140 in words is "one hundred four billion, four hundred four million, three hundred fifty-one thousand, one hundred forty".