Search a number
-
+
104240004421032 = 23321447777839181
BaseRepresentation
bin10111101100111001000100…
…011011110101010110101000
3111200002020200010200001201200
4113230321010123311112220
5102130332012112433112
61005411110312244200
730646043325105444
oct2754710433652650
9450066603601650
10104240004421032
1130239a34a67627
12b8364b26a0660
134621a3720049c
141ba5359231824
15c0b7c5caacdc
hex5ece446f55a8

104240004421032 has 24 divisors (see below), whose sum is σ = 282316678640490. Its totient is φ = 34746668140320.

The previous prime is 104240004421027. The next prime is 104240004421037. The reversal of 104240004421032 is 230124400042401.

104240004421032 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 400 + 0 + 44 + 210 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (104240004421027) and next prime (104240004421037).

It can be written as a sum of positive squares in only one way, i.e., 77198610803076 + 27041393617956 = 8786274^2 + 5200134^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 104240004420987 and 104240004421005.

It is not an unprimeable number, because it can be changed into a prime (104240004421037) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 723888919519 + ... + 723888919662.

Almost surely, 2104240004421032 is an apocalyptic number.

104240004421032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

104240004421032 is an abundant number, since it is smaller than the sum of its proper divisors (178076674219458).

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

104240004421032 is a wasteful number, since it uses less digits than its factorization.

104240004421032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1447777839193 (or 1447777839186 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 104240004421032 its reverse (230124400042401), we get a palindrome (334364404463433).

The spelling of 104240004421032 in words is "one hundred four trillion, two hundred forty billion, four million, four hundred twenty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1447777839181 2895555678362 4343333517543 5791111356724 8686667035086 11582222713448 13030000552629 17373334070172 26060001105258 34746668140344 52120002210516 104240004421032