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112298463840 = 2535233955133
BaseRepresentation
bin110100010010110000…
…0101001001001100000
3101201212021101001000110
41220211200221021200
53314441401320330
6123331133451320
711053601123133
oct1504540511140
9351767331013
10112298463840
1143697612002
1219920640b40
13a788754a94
14561457221a
152dc3cb3db0
hex1a25829260

112298463840 has 48 divisors (see below), whose sum is σ = 353740162608. Its totient is φ = 29946256896.

The previous prime is 112298463811. The next prime is 112298463857. The reversal of 112298463840 is 48364892211.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1122984638402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 112298463840.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 116977087 + ... + 116978046.

It is an arithmetic number, because the mean of its divisors is an integer number (7369586721).

Almost surely, 2112298463840 is an apocalyptic number.

112298463840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112298463840 is an abundant number, since it is smaller than the sum of its proper divisors (241441698768).

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

112298463840 is a wasteful number, since it uses less digits than its factorization.

112298463840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233955151 (or 233955143 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The spelling of 112298463840 in words is "one hundred twelve billion, two hundred ninety-eight million, four hundred sixty-three thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 233955133 467910266 701865399 935820532 1169775665 1403730798 1871641064 2339551330 2807461596 3509326995 3743282128 4679102660 5614923192 7018653990 7486564256 9358205320 11229846384 14037307980 18716410640 22459692768 28074615960 37432821280 56149231920 112298463840