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12344143440 = 2435192707049
BaseRepresentation
bin10110111111100010…
…01010111001010000
31011212021200110101210
423133301022321100
5200240100042230
65400521500120
7614620326246
oct133761127120
934767613353
1012344143440
115264a46742
122486041640
13121954a0b5
14851602796
154c3a9deb0
hex2dfc4ae50

12344143440 has 80 divisors (see below), whose sum is σ = 40280904000. Its totient is φ = 3118519296.

The previous prime is 12344143439. The next prime is 12344143457. The reversal of 12344143440 is 4434144321.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 12344143398 and 12344143407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1348965 + ... + 1358084.

It is an arithmetic number, because the mean of its divisors is an integer number (503511300).

Almost surely, 212344143440 is an apocalyptic number.

12344143440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12344143440 is an abundant number, since it is smaller than the sum of its proper divisors (27936760560).

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

12344143440 is a wasteful number, since it uses less digits than its factorization.

12344143440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2707084 (or 2707078 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 12344143440 its reverse (4434144321), we get a palindrome (16778287761).

The spelling of 12344143440 in words is "twelve billion, three hundred forty-four million, one hundred forty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 456 570 760 912 1140 1520 2280 4560 2707049 5414098 8121147 10828196 13535245 16242294 21656392 27070490 32484588 40605735 43312784 51433931 54140980 64969176 81211470 102867862 108281960 129938352 154301793 162422940 205735724 216563920 257169655 308603586 324845880 411471448 514339310 617207172 649691760 771508965 822942896 1028678620 1234414344 1543017930 2057357240 2468828688 3086035860 4114714480 6172071720 12344143440