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112421386944 = 2633241269953
BaseRepresentation
bin110100010110011010…
…1100011101011000000
3101202011211200011211000
41220230311203223000
53320214333340234
6123351244252000
711056623010416
oct1505465435300
9352154604730
10112421386944
114374aa3aa49
1219955841000
13a7a8063349
145626a0d2b6
152dce995899
hex1a2cd63ac0

112421386944 has 112 divisors (see below), whose sum is σ = 331870649440. Its totient is φ = 37318164480.

The previous prime is 112421386907. The next prime is 112421386963. The reversal of 112421386944 is 449683124211.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 112421386944.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 281472 + ... + 551424.

Almost surely, 2112421386944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112421386944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165935324720).

112421386944 is an abundant number, since it is smaller than the sum of its proper divisors (219449262496).

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

112421386944 is a wasteful number, since it uses less digits than its factorization.

112421386944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270215 (or 270199 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The spelling of 112421386944 in words is "one hundred twelve billion, four hundred twenty-one million, three hundred eighty-six thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 241 288 432 482 576 723 864 964 1446 1728 1928 2169 2892 3856 4338 5784 6507 7712 8676 11568 13014 15424 17352 23136 26028 34704 46272 52056 69408 104112 138816 208224 269953 416448 539906 809859 1079812 1619718 2159624 2429577 3239436 4319248 4859154 6478872 7288731 8638496 9718308 12957744 14577462 17276992 19436616 25915488 29154924 38873232 51830976 58309848 65058673 77746464 116619696 130117346 155492928 195176019 233239392 260234692 390352038 466478784 520469384 585528057 780704076 1040938768 1171056114 1561408152 1756584171 2081877536 2342112228 3122816304 3513168342 4163755072 4684224456 6245632608 7026336684 9368448912 12491265216 14052673368 18736897824 28105346736 37473795648 56210693472 112421386944