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344112424013344 = 2573149555360601
BaseRepresentation
bin100111000111101111110101…
…0110010111100111000100000
31200010101211022111011220122211
41032033133222302330320200
5330100414221021411334
63215511022031211504
7132324205441066540
oct11617375262747040
91603354274156584
10344112424013344
119a7102943aa388
1232717362676b94
1311a0187c23a90c
1460d91b7345320
1529bb249349a64
hex138f7eacbce20

344112424013344 has 48 divisors (see below), whose sum is σ = 799228855789056. Its totient is φ = 142719438528000.

The previous prime is 344112424013341. The next prime is 344112424013383. The reversal of 344112424013344 is 443310424211443.

It is a junction number, because it is equal to n+sod(n) for n = 344112424013297 and 344112424013306.

It is not an unprimeable number, because it can be changed into a prime (344112424013341) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24777673357 + ... + 24777687244.

It is an arithmetic number, because the mean of its divisors is an integer number (16650601162272).

Almost surely, 2344112424013344 is an apocalyptic number.

It is an amenable number.

344112424013344 is an abundant number, since it is smaller than the sum of its proper divisors (455116431775712).

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

344112424013344 is a wasteful number, since it uses less digits than its factorization.

344112424013344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49555360649 (or 49555360641 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 40.

Adding to 344112424013344 its reverse (443310424211443), we get a palindrome (787422848224787).

The spelling of 344112424013344 in words is "three hundred forty-four trillion, one hundred twelve billion, four hundred twenty-four million, thirteen thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 112 124 217 224 248 434 496 868 992 1736 3472 6944 49555360601 99110721202 198221442404 346887524207 396442884808 693775048414 792885769616 1387550096828 1536216178631 1585771539232 2775100193656 3072432357262 5550200387312 6144864714524 10753513250417 11100400774624 12289729429048 21507026500834 24579458858096 43014053001668 49158917716192 86028106003336 172056212006672 344112424013344