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112367084944 = 2418124632
BaseRepresentation
bin110100010100110011…
…0011010010110010000
3101202001001111100110211
41220221212122112100
53320111433204234
6123342024333504
711055363314512
oct1505146322620
9352031440424
10112367084944
1143722321064
121993b614294
13a799a2ca9a
14561d715bb2
152dc9d1b164
hex1a2999a590

112367084944 has 45 divisors (see below), whose sum is σ = 219394549089. Its totient is φ = 55752459840.

The previous prime is 112367084939. The next prime is 112367085007. The reversal of 112367084944 is 449480763211.

It is a happy number.

The square root of 112367084944 is 335212.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1238195344 + 111128889600 = 35188^2 + 333360^2 .

It is a super-2 number, since 2×1123670849442 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 242693257 + ... + 242693719.

Almost surely, 2112367084944 is an apocalyptic number.

112367084944 is the 335212-nd square number.

It is an amenable number.

112367084944 is a deficient number, since it is larger than the sum of its proper divisors (107027464145).

112367084944 is an frugal number, since it uses more digits than its factorization.

112367084944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1296 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 49.

Multiplying 112367084944 by its sum of digits (49), we get a square (5505987162256 = 23464842).

The spelling of 112367084944 in words is "one hundred twelve billion, three hundred sixty-seven million, eighty-four thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 181 362 463 724 926 1448 1852 2896 3704 7408 32761 65522 83803 131044 167606 214369 262088 335212 428738 524176 670424 857476 1340848 1714952 3429904 15168343 30336686 38800789 60673372 77601578 121346744 155203156 242693488 310406312 620812624 7022942809 14045885618 28091771236 56183542472 112367084944