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130144141920 = 253513217194967
BaseRepresentation
bin111100100110100110…
…0100000001001100000
3110102220222011102011110
41321031030200021200
54113013400020140
6135442024343320
712255043645122
oct1711514401140
9412828142143
10130144141920
1150214a80091
1221281014b40
13c370a02200
1464286ab212
1535ba837380
hex1e4d320260

130144141920 has 576 divisors, whose sum is σ = 494865262080. Its totient is φ = 28558393344.

The previous prime is 130144141909. The next prime is 130144141943. The reversal of 130144141920 is 29141441031.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 26199277 + ... + 26204243.

It is an arithmetic number, because the mean of its divisors is an integer number (859141080).

Almost surely, 2130144141920 is an apocalyptic number.

130144141920 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 130144141920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247432631040).

130144141920 is an abundant number, since it is smaller than the sum of its proper divisors (364721120160).

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

130144141920 is a wasteful number, since it uses less digits than its factorization.

130144141920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5047 (or 5026 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

Adding to 130144141920 its reverse (29141441031), we get a palindrome (159285582951).

The spelling of 130144141920 in words is "one hundred thirty billion, one hundred forty-four million, one hundred forty-one thousand, nine hundred twenty".