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130044132224 = 277912860377
BaseRepresentation
bin111100100011100111…
…0111111101110000000
3110102122222222101122122
41321013032333232000
54112312244212344
6135424053023412
712252420612506
oct1710716775600
9412588871578
10130044132224
1150173582346
1221253624b68
13c356087186
1464192b6676
1535b1b7eaee
hex1e473bfb80

130044132224 has 32 divisors (see below), whose sum is σ = 262351711200. Its totient is φ = 64198996992.

The previous prime is 130044132191. The next prime is 130044132299. The reversal of 130044132224 is 422231440031.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×1300441322242 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 130044132193 and 130044132202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6420077 + ... + 6440300.

It is an arithmetic number, because the mean of its divisors is an integer number (8198490975).

Almost surely, 2130044132224 is an apocalyptic number.

It is an amenable number.

130044132224 is an abundant number, since it is smaller than the sum of its proper divisors (132307578976).

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

130044132224 is an equidigital number, since it uses as much as digits as its factorization.

130044132224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12860470 (or 12860458 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 130044132224 its reverse (422231440031), we get a palindrome (552275572255).

The spelling of 130044132224 in words is "one hundred thirty billion, forty-four million, one hundred thirty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 79 128 158 316 632 1264 2528 5056 10112 12860377 25720754 51441508 102883016 205766032 411532064 823064128 1015969783 1646128256 2031939566 4063879132 8127758264 16255516528 32511033056 65022066112 130044132224