Search a number
-
+
316320552144 = 24323759369473
BaseRepresentation
bin1001001101001100010…
…11001001010011010000
31010020110220220222102100
410212212023021103100
520140311030132034
6401152103120400
731565501221122
oct4464613112320
91106426828370
10316320552144
11112172783723
125137b143100
1323aa112a45c
141144a8b7212
1583653c3099
hex49a62c94d0

316320552144 has 60 divisors (see below), whose sum is σ = 909184124836. Its totient is φ = 102590447616.

The previous prime is 316320552139. The next prime is 316320552167. The reversal of 316320552144 is 441255023613.

316320552144 is a `hidden beast` number, since 3 + 1 + 63 + 2 + 0 + 552 + 1 + 44 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 147004761744 + 169315790400 = 383412^2 + 411480^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 316320552099 and 316320552108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29679409 + ... + 29690064.

Almost surely, 2316320552144 is an apocalyptic number.

It is an amenable number.

316320552144 is an abundant number, since it is smaller than the sum of its proper divisors (592863572692).

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

316320552144 is a wasteful number, since it uses less digits than its factorization.

316320552144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59369524 (or 59369515 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 316320552144 its reverse (441255023613), we get a palindrome (757575575757).

The spelling of 316320552144 in words is "three hundred sixteen billion, three hundred twenty million, five hundred fifty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 222 296 333 444 592 666 888 1332 1776 2664 5328 59369473 118738946 178108419 237477892 356216838 474955784 534325257 712433676 949911568 1068650514 1424867352 2137301028 2196670501 2849734704 4274602056 4393341002 6590011503 8549204112 8786682004 13180023006 17573364008 19770034509 26360046012 35146728016 39540069018 52720092024 79080138036 105440184048 158160276072 316320552144