Search a number
-
+
130362939840 = 2635731967311
BaseRepresentation
bin111100101101000111…
…1001001100111000000
3110110111012212111111010
41321122033021213000
54113440403033330
6135515442120520
712263341464000
oct1713217114700
9413435774433
10130362939840
1150317532211
1221322350140
13c3a713b733
146449784000
1535ceb563b0
hex1e5a3c99c0

130362939840 has 896 divisors, whose sum is σ = 517330944000. Its totient is φ = 27718225920.

The previous prime is 130362939829. The next prime is 130362939841. The reversal of 130362939840 is 48939263031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 130362939840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130362939841) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 419173285 + ... + 419173595.

Almost surely, 2130362939840 is an apocalyptic number.

130362939840 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 130362939840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258665472000).

130362939840 is an abundant number, since it is smaller than the sum of its proper divisors (386968004160).

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

130362939840 is a wasteful number, since it uses less digits than its factorization.

130362939840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 48.

The spelling of 130362939840 in words is "one hundred thirty billion, three hundred sixty-two million, nine hundred thirty-nine thousand, eight hundred forty".