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1478230430625 = 3254132292432
BaseRepresentation
bin10101100000101101011…
…001100101001110100001
312020022120102100102122100
4111200231121211032201
5143204403442240000
63051031212201013
7211540633225164
oct25405531451641
95208512312570
101478230430625
1151aa065a4743
121ba5a8469169
13a9520244900
145179234dadb
15286bb0d6a00
hex1582d6653a1

1478230430625 has 405 divisors, whose sum is σ = 3063474325197. Its totient is φ = 686308896000.

The previous prime is 1478230430581. The next prime is 1478230430629. The reversal of 1478230430625 is 5260340328741.

The square root of 1478230430625 is 1215825.

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

1478230430625 is a `hidden beast` number, since 14 + 7 + 8 + 2 + 3 + 0 + 4 + 3 + 0 + 625 = 666.

It can be written as a sum of positive squares in 22 ways, for example, as 936805244769 + 541425185856 = 967887^2 + 735816^2 .

It is a de Polignac number, because none of the positive numbers 2k-1478230430625 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1478230430629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 34377451854 + ... + 34377451896.

Almost surely, 21478230430625 is an apocalyptic number.

1478230430625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1478230430625 is the 1215825-th square number.

1478230430625 is the 607913-rd centered octagonal number.

It is an amenable number.

1478230430625 is an abundant number, since it is smaller than the sum of its proper divisors (1585243894572).

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

1478230430625 is an equidigital number, since it uses as much as digits as its factorization.

1478230430625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 1478230430625 in words is "one trillion, four hundred seventy-eight billion, two hundred thirty million, four hundred thirty thousand, six hundred twenty-five".