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112423420314 = 2332912724451
BaseRepresentation
bin110100010110011110…
…1010100000110011010
3101202011222111111002000
41220230331110012122
53320220343422224
6123351400021430
711056646206542
oct1505475240632
9352158444060
10112423420314
11437510a9717
1219956461876
13a7a85c5a1a
145626dbc322
152dcec480c9
hex1a2cf5419a

112423420314 has 96 divisors (see below), whose sum is σ = 260554190400. Its totient is φ = 35889285600.

The previous prime is 112423420309. The next prime is 112423420339. The reversal of 112423420314 is 413024324211.

112423420314 is a `hidden beast` number, since 1 + 1 + 2 + 4 + 2 + 342 + 0 + 314 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25255789 + ... + 25260239.

It is an arithmetic number, because the mean of its divisors is an integer number (2714106150).

Almost surely, 2112423420314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112423420314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130277095200).

112423420314 is an abundant number, since it is smaller than the sum of its proper divisors (148130770086).

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

112423420314 is a wasteful number, since it uses less digits than its factorization.

112423420314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4745 (or 4612 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 112423420314 its reverse (413024324211), we get a palindrome (525447744525).

The spelling of 112423420314 in words is "one hundred twelve billion, four hundred twenty-three million, four hundred twenty thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 27 29 54 58 87 127 174 254 261 381 522 762 783 1143 1566 2286 3429 3683 4451 6858 7366 8902 11049 13353 16129 22098 26706 32258 33147 40059 48387 66294 80118 96774 99441 120177 129079 145161 198882 240354 258158 290322 387237 435483 467741 565277 774474 870966 935482 1130554 1161711 1403223 1695831 2323422 2806446 3391662 3485133 4209669 5087493 6970266 8419338 10174986 12629007 15262479 16393033 25258014 30524958 32786066 49179099 71790179 98358198 143580358 147537297 215370537 295074594 430741074 442611891 646111611 885223782 1292223222 1938334833 2081915191 3876669666 4163830382 6245745573 12491491146 18737236719 37474473438 56211710157 112423420314