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112344322402440 = 2334534674173581
BaseRepresentation
bin11001100010110100110011…
…011011011110100010001000
3112201210000022222201222210000
4121202310303123132202020
5104211122133013334230
61034534134052523000
732443416016250412
oct3142646333364210
9481700288658700
10112344322402440
1132883a61205237
12107250ba320460
134a8c04107ac5b
141da56cc1b99b2
15cec501092b60
hex662d336de888

112344322402440 has 80 divisors (see below), whose sum is σ = 377601750307980. Its totient is φ = 29958485973120.

The previous prime is 112344322402399. The next prime is 112344322402451. The reversal of 112344322402440 is 44204223443211.

112344322402440 is a `hidden beast` number, since 1 + 1 + 2 + 344 + 32 + 2 + 40 + 244 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 107196660230724 + 5147662171716 = 10353582^2 + 2268846^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 112344322402395 and 112344322402404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 17337083551 + ... + 17337090030.

Almost surely, 2112344322402440 is an apocalyptic number.

112344322402440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112344322402440 is an abundant number, since it is smaller than the sum of its proper divisors (265257427905540).

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

112344322402440 is a wasteful number, since it uses less digits than its factorization.

112344322402440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34674173604 (or 34674173591 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 112344322402440 its reverse (44204223443211), we get a palindrome (156548545845651).

The spelling of 112344322402440 in words is "one hundred twelve trillion, three hundred forty-four billion, three hundred twenty-two million, four hundred two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 34674173581 69348347162 104022520743 138696694324 173370867905 208045041486 277393388648 312067562229 346741735810 416090082972 520112603715 624135124458 693483471620 832180165944 936202686687 1040225207430 1248270248916 1386966943240 1560337811145 1872405373374 2080450414860 2496540497832 2808608060061 3120675622290 3744810746748 4160900829720 4681013433435 5617216120122 6241351244580 7489621493496 9362026866870 11234432240244 12482702489160 14043040300305 18724053733740 22468864480488 28086080600610 37448107467480 56172161201220 112344322402440