Search a number
-
+
104711739444 = 22351329377723
BaseRepresentation
bin110000110000101001…
…1100101100000110100
3101000021112121111200000
41201201103211200310
53203422201130234
6120034235551300
710364566046124
oct1414123454064
9330245544600
10104711739444
1140454057744
12183638bb530
139b49a20a50
1450d4b26c84
152accc00899
hex18614e5834

104711739444 has 288 divisors, whose sum is σ = 314104801920. Its totient is φ = 30263321088.

The previous prime is 104711739421. The next prime is 104711739469. The reversal of 104711739444 is 444937117401.

104711739444 is a `hidden beast` number, since 1 + 0 + 471 + 173 + 9 + 4 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 104711739444.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13554567 + ... + 13562289.

Almost surely, 2104711739444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104711739444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157052400960).

104711739444 is an abundant number, since it is smaller than the sum of its proper divisors (209393062476).

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

104711739444 is a wasteful number, since it uses less digits than its factorization.

104711739444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7821 (or 7807 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 104711739444 in words is "one hundred four billion, seven hundred eleven million, seven hundred thirty-nine thousand, four hundred forty-four".