Search a number
-
+
104045030640 = 243251761331421
BaseRepresentation
bin110000011100110010…
…0010010110011110000
3100221120002002012010100
41200321210102303300
53201041011440030
6115444142032400
710342222111515
oct1407144226360
9327502065110
10104045030640
1140141786531
12181b8578700
139a718696b5
14507037730c
152a8e407360
hex1839912cf0

104045030640 has 480 divisors, whose sum is σ = 378068962752. Its totient is φ = 25546752000.

The previous prime is 104045030627. The next prime is 104045030651. The reversal of 104045030640 is 46030540401.

104045030640 is a `hidden beast` number, since 10 + 4 + 0 + 4 + 5 + 0 + 3 + 0 + 640 = 666.

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, 247137630 + ... + 247138050.

Almost surely, 2104045030640 is an apocalyptic number.

104045030640 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 104045030640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189034481376).

104045030640 is an abundant number, since it is smaller than the sum of its proper divisors (274023932112).

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

104045030640 is a wasteful number, since it uses less digits than its factorization.

104045030640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 104045030640 in words is "one hundred four billion, forty-five million, thirty thousand, six hundred forty".