Search a number
-
+
104004140240 = 245711133833391
BaseRepresentation
bin110000011011100100…
…0010011110011010000
3100221110020010202001002
41200313020103303100
53201000024441430
6115440121401132
710341214414520
oct1406710236320
9327406122032
10104004140240
1140120697a10
12181a69391a8
139a662507b0
145068b71680
152a8aa2b845
hex1837213cd0

104004140240 has 320 divisors, whose sum is σ = 325611159552. Its totient is φ = 29836339200.

The previous prime is 104004140239. The next prime is 104004140249. The reversal of 104004140240 is 42041400401.

It is a happy number.

It is a super-2 number, since 2×1040041402402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104004140249) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30668945 + ... + 30672335.

Almost surely, 2104004140240 is an apocalyptic number.

104004140240 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 104004140240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162805579776).

104004140240 is an abundant number, since it is smaller than the sum of its proper divisors (221607019312).

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

104004140240 is a wasteful number, since it uses less digits than its factorization.

104004140240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3818 (or 3812 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 104004140240 its reverse (42041400401), we get a palindrome (146045540641).

The spelling of 104004140240 in words is "one hundred four billion, four million, one hundred forty thousand, two hundred forty".