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130144401420 = 223511299770099
BaseRepresentation
bin111100100110100110…
…1011111100000001100
3110102220222122121010120
41321031031133200030
54113013431321140
6135442034104540
712255046105515
oct1711515374014
9412828577116
10130144401420
1150215138050
122128111b150
13c370a93367
146428737a0c
1535ba8891d0
hex1e4d35f80c

130144401420 has 192 divisors, whose sum is σ = 415485504000. Its totient is φ = 30147747840.

The previous prime is 130144401389. The next prime is 130144401521. The reversal of 130144401420 is 24104441031.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1821531 + ... + 1891629.

It is an arithmetic number, because the mean of its divisors is an integer number (2163987000).

Almost surely, 2130144401420 is an apocalyptic number.

130144401420 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 130144401420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207742752000).

130144401420 is an abundant number, since it is smaller than the sum of its proper divisors (285341102580).

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

130144401420 is a wasteful number, since it uses less digits than its factorization.

130144401420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70248 (or 70246 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 130144401420 its reverse (24104441031), we get a palindrome (154248842451).

The spelling of 130144401420 in words is "one hundred thirty billion, one hundred forty-four million, four hundred one thousand, four hundred twenty".