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12430512240 = 2435431204507
BaseRepresentation
bin10111001001110101…
…01001000001110000
31012002022012110010020
423210322221001300
5200424202342430
65413245003440
7620016416316
oct134472510160
935068173106
1012430512240
1152a9777913
1224aab53580
1312313ca2b3
1485cc860b6
154cb45eb10
hex2e4ea9070

12430512240 has 80 divisors (see below), whose sum is σ = 39430773888. Its totient is φ = 3237712128.

The previous prime is 12430512233. The next prime is 12430512301. The reversal of 12430512240 is 4221503421.

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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12430512240.

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, 591934 + ... + 612573.

Almost surely, 212430512240 is an apocalyptic number.

12430512240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12430512240 is an abundant number, since it is smaller than the sum of its proper divisors (27000261648).

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

12430512240 is a wasteful number, since it uses less digits than its factorization.

12430512240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1204566 (or 1204560 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The spelling of 12430512240 in words is "twelve billion, four hundred thirty million, five hundred twelve thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 43 48 60 80 86 120 129 172 215 240 258 344 430 516 645 688 860 1032 1290 1720 2064 2580 3440 5160 10320 1204507 2409014 3613521 4818028 6022535 7227042 9636056 12045070 14454084 18067605 19272112 24090140 28908168 36135210 48180280 51793801 57816336 72270420 96360560 103587602 144540840 155381403 207175204 258969005 289081680 310762806 414350408 517938010 621525612 776907015 828700816 1035876020 1243051224 1553814030 2071752040 2486102448 3107628060 4143504080 6215256120 12430512240