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12314577044080 = 2454871559202747
BaseRepresentation
bin1011001100110011010111…
…1111011000001001110000
31121121021002001021200210001
42303030311333120021300
53103230223210402310
642105123311515344
72410461461532553
oct263146577301160
947537061250701
1012314577044080
113a18645779073
12146a792b28b54
136b434b54925c
14308058ac669a
151654e51e893a
hexb3335fd8270

12314577044080 has 80 divisors (see below), whose sum is σ = 28708727523840. Its totient is φ = 4912538823936.

The previous prime is 12314577044071. The next prime is 12314577044093. The reversal of 12314577044080 is 8044077541321.

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

It is a super-2 number, since 2×123145770440802 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12314577044080.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 60637267 + ... + 60840013.

It is an arithmetic number, because the mean of its divisors is an integer number (358859094048).

Almost surely, 212314577044080 is an apocalyptic number.

12314577044080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12314577044080 is an abundant number, since it is smaller than the sum of its proper divisors (16394150479760).

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

12314577044080 is a wasteful number, since it uses less digits than its factorization.

12314577044080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204806 (or 204800 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 46.

The spelling of 12314577044080 in words is "twelve trillion, three hundred fourteen billion, five hundred seventy-seven million, forty-four thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 487 974 1559 1948 2435 3118 3896 4870 6236 7792 7795 9740 12472 15590 19480 24944 31180 38960 62360 124720 202747 405494 759233 810988 1013735 1518466 1621976 2027470 3036932 3243952 3796165 4054940 6073864 7592330 8109880 12147728 15184660 16219760 30369320 60738640 98737789 197475578 316082573 394951156 493688945 632165146 789902312 987377890 1264330292 1579804624 1580412865 1974755780 2528660584 3160825730 3949511560 5057321168 6321651460 7899023120 12643302920 25286605840 153932213051 307864426102 615728852204 769661065255 1231457704408 1539322130510 2462915408816 3078644261020 6157288522040 12314577044080