Search a number
-
+
104414720328 = 2333483401483
BaseRepresentation
bin110000100111110011…
…0100011000101001000
3100222111211201101001000
41201033212203011020
53202320132022303
6115544545455000
710354331323152
oct1411746430510
9328454641030
10104414720328
11403114298a6
12182a0341460
139b003279a9
1450a74cbad2
152ab1aceda3
hex184f9a3148

104414720328 has 32 divisors (see below), whose sum is σ = 290040890400. Its totient is φ = 34804906704.

The previous prime is 104414720321. The next prime is 104414720329. The reversal of 104414720328 is 823027414401.

104414720328 is a `hidden beast` number, since 1 + 0 + 441 + 4 + 7 + 203 + 2 + 8 = 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 = 104414720292 and 104414720301.

It is not an unprimeable number, because it can be changed into a prime (104414720321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 241700526 + ... + 241700957.

It is an arithmetic number, because the mean of its divisors is an integer number (9063777825).

Almost surely, 2104414720328 is an apocalyptic number.

104414720328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

104414720328 is an abundant number, since it is smaller than the sum of its proper divisors (185626170072).

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

104414720328 is a wasteful number, since it uses less digits than its factorization.

104414720328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483401498 (or 483401488 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 104414720328 in words is "one hundred four billion, four hundred fourteen million, seven hundred twenty thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 483401483 966802966 1450204449 1933605932 2900408898 3867211864 4350613347 5800817796 8701226694 11601635592 13051840041 17402453388 26103680082 34804906776 52207360164 104414720328