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344042431034142 = 23196745043523309
BaseRepresentation
bin100111000111001111001111…
…0111000111011001100011110
31200010011010122120001011111210
41032032132132320323030132
5330043242344321043032
63215414524430525250
7132316150110430641
oct11616363670731436
91603133576034453
10344042431034142
119a693637173125
123270588a066826
13119c80a63b0aa9
1460d5a57639a58
1529b94ee6742cc
hex138e79ee3b31e

344042431034142 has 32 divisors (see below), whose sum is σ = 735110300419200. Its totient is φ = 107023411379808.

The previous prime is 344042431034131. The next prime is 344042431034147. The reversal of 344042431034142 is 241430134240443.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 344042431034142.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344042431034147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22521754017 + ... + 22521769292.

It is an arithmetic number, because the mean of its divisors is an integer number (22972196888100).

Almost surely, 2344042431034142 is an apocalyptic number.

344042431034142 is an abundant number, since it is smaller than the sum of its proper divisors (391067869385058).

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

344042431034142 is a wasteful number, since it uses less digits than its factorization.

344042431034142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45043523400.

The product of its (nonzero) digits is 442368, while the sum is 39.

Adding to 344042431034142 its reverse (241430134240443), we get a palindrome (585472565274585).

The spelling of 344042431034142 in words is "three hundred forty-four trillion, forty-two billion, four hundred thirty-one million, thirty-four thousand, one hundred forty-two".

Divisors: 1 2 3 6 19 38 57 67 114 134 201 402 1273 2546 3819 7638 45043523309 90087046618 135130569927 270261139854 855826942871 1711653885742 2567480828613 3017916061703 5134961657226 6035832123406 9053748185109 18107496370218 57340405172357 114680810344714 172021215517071 344042431034142