Search a number
-
+
315453055030056 = 23324381292430973
BaseRepresentation
bin100011110111001110010001…
…1010010011101001100101000
31112100221000110210021010002200
41013232130203102131030220
5312321340324041430211
63034525044411300200
7123305505530123466
oct10756344322351450
91470830423233080
10315453055030056
11915709867a1779
122b468ab9a4a660
1310703131913928
1457c801b84d836
1526709d0575b56
hex11ee72349d328

315453055030056 has 24 divisors (see below), whose sum is σ = 854352024039930. Its totient is φ = 105151018343328.

The previous prime is 315453055030049. The next prime is 315453055030121. The reversal of 315453055030056 is 650030550354513.

315453055030056 is a `hidden beast` number, since 3 + 1 + 5 + 45 + 3 + 0 + 550 + 3 + 0 + 0 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 272578977321156 + 42874077708900 = 16509966^2 + 6547830^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a junction number, because it is equal to n+sod(n) for n = 315453055029993 and 315453055030020.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2190646215415 + ... + 2190646215558.

Almost surely, 2315453055030056 is an apocalyptic number.

315453055030056 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

315453055030056 is an abundant number, since it is smaller than the sum of its proper divisors (538898969009874).

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

315453055030056 is a wasteful number, since it uses less digits than its factorization.

315453055030056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4381292430985 (or 4381292430978 counting only the distinct ones).

The product of its (nonzero) digits is 2025000, while the sum is 45.

The spelling of 315453055030056 in words is "three hundred fifteen trillion, four hundred fifty-three billion, fifty-five million, thirty thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 4381292430973 8762584861946 13143877292919 17525169723892 26287754585838 35050339447784 39431631878757 52575509171676 78863263757514 105151018343352 157726527515028 315453055030056