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344143401144432 = 24359121519562551
BaseRepresentation
bin100111000111111110010000…
…1001011010101000001110000
31200010111210021100010012220020
41032033330201023111001300
5330101421141143110212
63215533143530443440
7132326353204261221
oct11617744113250160
91603453240105806
10344143401144432
119a72244016746a
1232721368893580
1311a04777b93996
1460da8b5467248
1529bbe5db38d8c
hex138ff212d5070

344143401144432 has 40 divisors (see below), whose sum is σ = 904105545386880. Its totient is φ = 112770154046400.

The previous prime is 344143401144391. The next prime is 344143401144437. The reversal of 344143401144432 is 234441104341443.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344143401144437) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 60759778444 + ... + 60759784107.

It is an arithmetic number, because the mean of its divisors is an integer number (22602638634672).

Almost surely, 2344143401144432 is an apocalyptic number.

It is an amenable number.

344143401144432 is an abundant number, since it is smaller than the sum of its proper divisors (559962144242448).

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

344143401144432 is a wasteful number, since it uses less digits than its factorization.

344143401144432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121519562621 (or 121519562615 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 42.

Adding to 344143401144432 its reverse (234441104341443), we get a palindrome (578584505485875).

The spelling of 344143401144432 in words is "three hundred forty-four trillion, one hundred forty-three billion, four hundred one million, one hundred forty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 59 118 177 236 354 472 708 944 1416 2832 121519562551 243039125102 364558687653 486078250204 729117375306 972156500408 1458234750612 1944313000816 2916469501224 5832939002448 7169654190509 14339308381018 21508962571527 28678616762036 43017925143054 57357233524072 86035850286108 114714467048144 172071700572216 344143401144432