Search a number
-
+
315045421233660 = 2234513217397170503
BaseRepresentation
bin100011110100010000011101…
…0011010111011010111111100
31112022111001022002100201010000
41013220200322122323113330
5312243201010313434120
63034013511332314300
7123234165142044345
oct10750407232732774
91468431262321100
10315045421233660
1191424016084137
122b401ab6172990
13106a386a89cb00
1457b23cb8ab0cc
1526650c38bb990
hex11e883a6bb5fc

315045421233660 has 720 divisors, whose sum is σ = 1135993639023936. Its totient is φ = 72803622887424.

The previous prime is 315045421233649. The next prime is 315045421233691. The reversal of 315045421233660 is 66332124540513.

315045421233660 is a `hidden beast` number, since 3 + 1 + 5 + 0 + 4 + 542 + 12 + 3 + 36 + 60 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1847655969 + ... + 1847826471.

Almost surely, 2315045421233660 is an apocalyptic number.

315045421233660 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 315045421233660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567996819511968).

315045421233660 is an abundant number, since it is smaller than the sum of its proper divisors (820948217790276).

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

315045421233660 is a wasteful number, since it uses less digits than its factorization.

315045421233660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170964 (or 170940 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 315045421233660 in words is "three hundred fifteen trillion, forty-five billion, four hundred twenty-one million, two hundred thirty-three thousand, six hundred sixty".