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130801263438244 = 22728169172
BaseRepresentation
bin11101101111011010001010…
…110101111110100110100100
3122011010110220221112100012111
4131233122022311332212210
5114121021441420010434
61142105134302130404
736360036146436100
oct3557321265764644
9564113827470174
10130801263438244
113874a560257863
12128061b2580a04
1357ca677207c49
142442b5a248900
15101c693757964
hex76f68ad7e9a4

130801263438244 has 27 divisors (see below), whose sum is σ = 266274326520993. Its totient is φ = 56057615709648.

The previous prime is 130801263438199. The next prime is 130801263438247. The reversal of 130801263438244 is 442834362108031.

The square root of 130801263438244 is 11436838.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 45602603820900 + 85198659617344 = 6752970^2 + 9230312^2 .

It is a super-3 number, since 3×1308012634382443 (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (130801263438247) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 159707274 + ... + 160524190.

Almost surely, 2130801263438244 is an apocalyptic number.

130801263438244 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

130801263438244 is the 11436838-th square number.

It is an amenable number.

130801263438244 is an abundant number, since it is smaller than the sum of its proper divisors (135473063082749).

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

130801263438244 is an frugal number, since it uses more digits than its factorization.

130801263438244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1633852 (or 816926 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 49.

130801263438244 divided by its sum of digits (49) gives a square (2669413539556 = 16338342).

The spelling of 130801263438244 in words is "one hundred thirty trillion, eight hundred one billion, two hundred sixty-three million, four hundred thirty-eight thousand, two hundred forty-four".

Divisors: 1 2 4 7 14 28 49 98 196 816917 1633834 3267668 5718419 11436838 22873676 40028933 80057866 160115732 667353384889 1334706769778 2669413539556 4671473694223 9342947388446 18685894776892 32700315859561 65400631719122 130801263438244