Search a number
-
+
316959524464128 = 29371313121318123
BaseRepresentation
bin100100000010001011110001…
…1110111010010011000000000
31112120021000221020021112222120
41020010113203313102120000
5313021031101230323003
63042041110111404240
7123522366331051050
oct11004274367223000
91476230836245876
10316959524464128
1191aa1863495697
122b670a67523680
13107b2202438620
14583accc3a5560
152699ca0884853
hex12045e3dd2600

316959524464128 has 640 divisors, whose sum is σ = 1047815199535104. Its totient is φ = 82906465075200.

The previous prime is 316959524464091. The next prime is 316959524464153. The reversal of 316959524464128 is 821464425959613.

It is a super-2 number, since 2×3169595244641282 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 39020003875 + ... + 39020011997.

Almost surely, 2316959524464128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 316959524464128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523907599767552).

316959524464128 is an abundant number, since it is smaller than the sum of its proper divisors (730855675070976).

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

316959524464128 is a wasteful number, since it uses less digits than its factorization.

316959524464128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10426 (or 10410 counting only the distinct ones).

The product of its digits is 447897600, while the sum is 69.

The spelling of 316959524464128 in words is "three hundred sixteen trillion, nine hundred fifty-nine billion, five hundred twenty-four million, four hundred sixty-four thousand, one hundred twenty-eight".