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130608514404 = 2232292312672
BaseRepresentation
bin111100110100011011…
…1111100010101100100
3110111010022221222110100
41321220313330111210
54114441234430104
6140000053424100
712302413024554
oct1715067742544
9414108858410
10130608514404
1150433112aa5
122139063b030
13c415c91a24
14647022b164
1535e64b4139
hex1e68dfc564

130608514404 has 243 divisors, whose sum is σ = 358664030361. Its totient is φ = 40071810240.

The previous prime is 130608514391. The next prime is 130608514417. The reversal of 130608514404 is 404415806031.

The square root of 130608514404 is 361398.

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

130608514404 is a `hidden beast` number, since 1 + 3 + 0 + 608 + 5 + 1 + 4 + 40 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (130608514391) and next prime (130608514417).

It can be written as a sum of positive squares in only one way, i.e., 68487936804 + 62120577600 = 261702^2 + 249240^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1949380779 + ... + 1949380845.

Almost surely, 2130608514404 is an apocalyptic number.

130608514404 is the 361398-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130608514404

130608514404 is an abundant number, since it is smaller than the sum of its proper divisors (228055515957).

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

130608514404 is a wasteful number, since it uses less digits than its factorization.

130608514404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Multiplying 130608514404 by its sum of digits (36), we get a square (4701906518544 = 21683882).

130608514404 divided by its sum of digits (36) gives a square (3628014289 = 602332).

The spelling of 130608514404 in words is "one hundred thirty billion, six hundred eight million, five hundred fourteen thousand, four hundred four".