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112344224004 = 223239777310169
BaseRepresentation
bin110100010100000111…
…1001101000100000100
3101201222110110220011100
41220220033031010010
53320040110132004
6123335450340100
711054665101525
oct1505017150404
9351873426140
10112344224004
1143710427321
1219933a2a630
13a7950873bc
14561a68484c
152dc7d02739
hex1a283cd104

112344224004 has 72 divisors (see below), whose sum is σ = 285092884440. Its totient is φ = 37301755392.

The previous prime is 112344223993. The next prime is 112344224009. The reversal of 112344224004 is 400422443211.

112344224004 is a `hidden beast` number, since 1 + 1 + 234 + 4 + 22 + 400 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 23749892100 + 88594331904 = 154110^2 + 297648^2 .

It is not an unprimeable number, because it can be changed into a prime (112344224009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11042632 + ... + 11052800.

It is an arithmetic number, because the mean of its divisors is an integer number (3959623395).

Almost surely, 2112344224004 is an apocalyptic number.

It is an amenable number.

112344224004 is an abundant number, since it is smaller than the sum of its proper divisors (172748660436).

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

112344224004 is a wasteful number, since it uses less digits than its factorization.

112344224004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11349 (or 11344 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 112344224004 its reverse (400422443211), we get a palindrome (512766667215).

The spelling of 112344224004 in words is "one hundred twelve billion, three hundred forty-four million, two hundred twenty-four thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 397 773 794 1191 1546 1588 2319 2382 3092 3573 4638 4764 6957 7146 9276 10169 13914 14292 20338 27828 30507 40676 61014 91521 122028 183042 306881 366084 613762 920643 1227524 1841286 2761929 3682572 4037093 5523858 7860637 8074186 11047716 12111279 15721274 16148372 23581911 24222558 31442548 36333837 47163822 48445116 70745733 72667674 94327644 141491466 145335348 282982932 3120672889 6241345778 9362018667 12482691556 18724037334 28086056001 37448074668 56172112002 112344224004