Search a number
-
+
130241830688 = 2513124872
BaseRepresentation
bin111100101001100000…
…1001001111100100000
3110110011202222111221222
41321103001021330200
54113213402040223
6135455434234212
712260341203044
oct1712301117440
9413152874858
10130241830688
1150265133102
12212a9885968
13c388016a08
14643765a024
1535c41d20c8
hex1e53049f20

130241830688 has 54 divisors (see below), whose sum is σ = 258917557563. Its totient is φ = 64491111360.

The previous prime is 130241830673. The next prime is 130241830699. The reversal of 130241830688 is 886038142031.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 65120915344 + 65120915344 = 255188^2 + 255188^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=255188.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 267436781 + ... + 267437267.

Almost surely, 2130241830688 is an apocalyptic number.

It is an amenable number.

130241830688 is a deficient number, since it is larger than the sum of its proper divisors (128675726875).

130241830688 is an frugal number, since it uses more digits than its factorization.

130241830688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1246 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 44.

The spelling of 130241830688 in words is "one hundred thirty billion, two hundred forty-one million, eight hundred thirty thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 16 32 131 262 487 524 974 1048 1948 2096 3896 4192 7792 15584 17161 34322 63797 68644 127594 137288 237169 255188 274576 474338 510376 549152 948676 1020752 1897352 2041504 3794704 7589408 8357407 16714814 31069139 33429628 62138278 66859256 124276556 133718512 248553112 267437024 497106224 994212448 4070057209 8140114418 16280228836 32560457672 65120915344 130241830688