Search a number
-
+
332414142410442 = 232319051126439459
BaseRepresentation
bin100101110010101000011001…
…0111000000110111011001010
31121120222111000010111110021110
41023211100302320012323022
5322032233130424113232
63134552540541351150
7130006062222113601
oct11345206270067312
91546874003443243
10332414142410442
1196a1005640aa74
12313481078684b6
1311363699697b61
145c12d04bbca38
152866cc48c2acc
hex12e5432e06eca

332414142410442 has 32 divisors (see below), whose sum is σ = 693770282472960. Its totient is φ = 105981553695600.

The previous prime is 332414142410393. The next prime is 332414142410491. The reversal of 332414142410442 is 244014241414233.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (332414142410393) and next prime (332414142410491).

It is a super-2 number, since 2×3324141424104422 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 332414142410442.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60590692 + ... + 65848767.

It is an arithmetic number, because the mean of its divisors is an integer number (21680321327280).

Almost surely, 2332414142410442 is an apocalyptic number.

332414142410442 is an abundant number, since it is smaller than the sum of its proper divisors (361356140062518).

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

332414142410442 is a wasteful number, since it uses less digits than its factorization.

332414142410442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126458538.

The product of its (nonzero) digits is 294912, while the sum is 39.

Adding to 332414142410442 its reverse (244014241414233), we get a palindrome (576428383824675).

The spelling of 332414142410442 in words is "three hundred thirty-two trillion, four hundred fourteen billion, one hundred forty-two million, four hundred ten thousand, four hundred forty-two".

Divisors: 1 2 3 6 23 46 69 138 19051 38102 57153 114306 438173 876346 1314519 2629038 126439459 252878918 379318377 758636754 2908107557 5816215114 8724322671 17448645342 2408798133409 4817596266818 7226394400227 14452788800454 55402357068407 110804714136814 166207071205221 332414142410442