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112421311344 = 2434331262069
BaseRepresentation
bin110100010110011010…
…1010001001101110000
3101202011211112100010000
41220230311101031300
53320214323430334
6123351242510000
711056622244126
oct1505465211560
9352154470100
10112421311344
114374a999171
1219955805300
13a7a8037b04
1456269cd916
152dce97d299
hex1a2cd51370

112421311344 has 100 divisors (see below), whose sum is σ = 326364157240. Its totient is φ = 37360414080.

The previous prime is 112421311297. The next prime is 112421311363. The reversal of 112421311344 is 443113124211.

It is a happy number.

112421311344 is a `hidden beast` number, since 1 + 1 + 2 + 4 + 2 + 1 + 311 + 344 = 666.

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

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

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 297942 + ... + 560010.

Almost surely, 2112421311344 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 112421311344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163182078620).

112421311344 is an abundant number, since it is smaller than the sum of its proper divisors (213942845896).

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

112421311344 is a wasteful number, since it uses less digits than its factorization.

112421311344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262420 (or 262405 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

Adding to 112421311344 its reverse (443113124211), we get a palindrome (555534435555).

The spelling of 112421311344 in words is "one hundred twelve billion, four hundred twenty-one million, three hundred eleven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 331 432 648 662 993 1296 1324 1986 2648 2979 3972 5296 5958 7944 8937 11916 15888 17874 23832 26811 35748 47664 53622 71496 107244 142992 214488 262069 428976 524138 786207 1048276 1572414 2096552 2358621 3144828 4193104 4717242 6289656 7075863 9434484 12579312 14151726 18868968 21227589 28303452 37737936 42455178 56606904 84910356 86744839 113213808 169820712 173489678 260234517 339641424 346979356 520469034 693958712 780703551 1040938068 1387917424 1561407102 2081876136 2342110653 3122814204 4163752272 4684221306 6245628408 7026331959 9368442612 12491256816 14052663918 18736885224 28105327836 37473770448 56210655672 112421311344