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344550435131 = 7434572504783
BaseRepresentation
bin1010000001110001100…
…11100110100100111011
31012221100022102121202002
411000320303212210323
521121114402411011
6422141223331215
733615165243020
oct5007063464473
91187308377662
10344550435131
11123139813631
12569392b0b0b
132664c866126
1412967bc7547
158e688e7c3b
hex5038ce693b

344550435131 has 16 divisors (see below), whose sum is σ = 403811257344. Its totient is φ = 287829509184.

The previous prime is 344550435071. The next prime is 344550435133. The reversal of 344550435131 is 131534055443.

It is not a de Polignac number, because 344550435131 - 218 = 344550172987 is a prime.

It is a super-2 number, since 2×3445504351312 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (344550435133) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1114835 + ... + 1389948.

It is an arithmetic number, because the mean of its divisors is an integer number (25238203584).

Almost surely, 2344550435131 is an apocalyptic number.

344550435131 is a deficient number, since it is larger than the sum of its proper divisors (59260822213).

344550435131 is a wasteful number, since it uses less digits than its factorization.

344550435131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2505290.

The product of its (nonzero) digits is 216000, while the sum is 38.

The spelling of 344550435131 in words is "three hundred forty-four billion, five hundred fifty million, four hundred thirty-five thousand, one hundred thirty-one".

Divisors: 1 7 43 301 457 3199 19651 137557 2504783 17533481 107705669 753939683 1144685831 8012800817 49221490733 344550435131