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112423240399968 = 25322434691603319
BaseRepresentation
bin11001100011111110010011…
…010011101111110001100000
3112202001120000220212122102100
4121203332103103233301200
5104213420244020244333
61035034305035250400
732452211462205021
oct3143762323576140
9482046026778370
10112423240399968
11329044793798a3
12107384638a9a00
134a96609c93c04
141da945737cc48
15cee5be583213
hex663f934efc60

112423240399968 has 72 divisors (see below), whose sum is σ = 319705102407600. Its totient is φ = 37474236175104.

The previous prime is 112423240399909. The next prime is 112423240399991. The reversal of 112423240399968 is 869993042324211.

112423240399968 is a `hidden beast` number, since 1 + 1 + 2 + 4 + 232 + 4 + 0 + 399 + 9 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×1124232403999682 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 69317413 + ... + 70920731.

It is an arithmetic number, because the mean of its divisors is an integer number (4440348644550).

Almost surely, 2112423240399968 is an apocalyptic number.

112423240399968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

112423240399968 is an abundant number, since it is smaller than the sum of its proper divisors (207281862007632).

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

112423240399968 is a wasteful number, since it uses less digits than its factorization.

112423240399968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1846804 (or 1846793 counting only the distinct ones).

The product of its (nonzero) digits is 40310784, while the sum is 63.

The spelling of 112423240399968 in words is "one hundred twelve trillion, four hundred twenty-three billion, two hundred forty million, three hundred ninety-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 243469 486938 730407 973876 1460814 1603319 1947752 2191221 2921628 3206638 3895504 4382442 4809957 5843256 6413276 7791008 8764884 9619914 11686512 12826552 14429871 17529768 19239828 23373024 25653104 28859742 35059536 38479656 51306208 57719484 70119072 76959312 115438968 153918624 230877936 461755872 390358473611 780716947222 1171075420833 1561433894444 2342150841666 3122867788888 3513226262499 4684301683332 6245735577776 7026452524998 9368603366664 12491471155552 14052905049996 18737206733328 28105810099992 37474413466656 56211620199984 112423240399968