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130623689040 = 243513181313739
BaseRepresentation
bin111100110100111000…
…1110101000101010000
3110111011101111221010220
41321221301311011100
54120004131022130
6140001354553040
712302656015515
oct1715161650520
9414141457126
10130623689040
1150440737a19
1221395738780
13c4191759c0
14647225b30c
1535e79b0410
hex1e69c75150

130623689040 has 320 divisors, whose sum is σ = 440487640320. Its totient is φ = 31830589440.

The previous prime is 130623689039. The next prime is 130623689041. The reversal of 130623689040 is 40986326031.

It is an interprime number because it is at equal distance from previous prime (130623689039) and next prime (130623689041).

It is a super-2 number, since 2×1306236890402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 130623688983 and 130623689001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130623689041) 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, 176756991 + ... + 176757729.

It is an arithmetic number, because the mean of its divisors is an integer number (1376523876).

Almost surely, 2130623689040 is an apocalyptic number.

130623689040 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 130623689040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220243820160).

130623689040 is an abundant number, since it is smaller than the sum of its proper divisors (309863951280).

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

130623689040 is a wasteful number, since it uses less digits than its factorization.

130623689040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1262 (or 1256 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The spelling of 130623689040 in words is "one hundred thirty billion, six hundred twenty-three million, six hundred eighty-nine thousand, forty".