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112433125014 = 232710315595557
BaseRepresentation
bin110100010110110001…
…0010101011010010110
3101202012122202112102100
41220231202111122112
53320230340000024
6123352344022530
711060124536250
oct1505542253226
9352178675370
10112433125014
1143756627a31
1219959761a46
13a7aa613052
1456283c6cd0
152dd0a137c9
hex1a2d895696

112433125014 has 96 divisors (see below), whose sum is σ = 281339735040. Its totient is φ = 31785742656.

The previous prime is 112433124977. The next prime is 112433125087. The reversal of 112433125014 is 410521334211.

112433125014 is a `hidden beast` number, since 1 + 124 + 3 + 31 + 2 + 501 + 4 = 666.

It is a congruent number.

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, 20229924 + ... + 20235480.

It is an arithmetic number, because the mean of its divisors is an integer number (2930622240).

Almost surely, 2112433125014 is an apocalyptic number.

112433125014 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112433125014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140669867520).

112433125014 is an abundant number, since it is smaller than the sum of its proper divisors (168906610026).

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

112433125014 is a wasteful number, since it uses less digits than its factorization.

112433125014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7234 (or 7231 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 112433125014 its reverse (410521334211), we get a palindrome (522954459225).

The spelling of 112433125014 in words is "one hundred twelve billion, four hundred thirty-three million, one hundred twenty-five thousand, fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 103 126 206 309 618 721 927 1442 1559 1854 2163 3118 4326 4677 5557 6489 9354 10913 11114 12978 14031 16671 21826 28062 32739 33342 38899 50013 65478 77798 98217 100026 116697 160577 196434 233394 321154 350091 481731 572371 700182 963462 1124039 1144742 1445193 1717113 2248078 2890386 3372117 3434226 4006597 5151339 6744234 8013194 8663363 10116351 10302678 12019791 17326726 20232702 24039582 25990089 36059373 51980178 60643541 72118746 77970267 121287082 155940534 181930623 363861246 545791869 892326389 1091583738 1784652778 2676979167 5353958334 6246284723 8030937501 12492569446 16061875002 18738854169 37477708338 56216562507 112433125014