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7400110112 = 253743191761
BaseRepresentation
bin1101110010001010…
…01011100000100000
3201002201121112200022
412321011023200200
5110123412010422
63222150013012
7351244620023
oct67105134040
921081545608
107400110112
11315819528a
121526347168
1390c1856a5
14502b4d1ba
152d4a00342
hex1b914b820

7400110112 has 96 divisors (see below), whose sum is σ = 15411078144. Its totient is φ = 3493324800.

The previous prime is 7400110073. The next prime is 7400110121. The reversal of 7400110112 is 2110110047.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9723812 + ... + 9724572.

It is an arithmetic number, because the mean of its divisors is an integer number (160532064).

Almost surely, 27400110112 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 7400110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7705539072).

7400110112 is an abundant number, since it is smaller than the sum of its proper divisors (8010968032).

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

7400110112 is a wasteful number, since it uses less digits than its factorization.

7400110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042 (or 1034 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 17.

The square root of 7400110112 is about 86023.8926810453. The cubic root of 7400110112 is about 1948.7048258547.

Adding to 7400110112 its reverse (2110110047), we get a palindrome (9510220159).

The spelling of 7400110112 in words is "seven billion, four hundred million, one hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 37 43 74 86 148 172 191 296 344 382 592 688 761 764 1184 1376 1522 1528 1591 3044 3056 3182 6088 6112 6364 7067 8213 12176 12728 14134 16426 24352 25456 28157 28268 32723 32852 50912 56314 56536 65446 65704 112628 113072 130892 131408 145351 225256 226144 261784 262816 290702 303881 450512 523568 581404 607762 901024 1047136 1162808 1210751 1215524 2325616 2421502 2431048 4651232 4843004 4862096 5377987 6250093 9686008 9724192 10755974 12500186 19372016 21511948 25000372 38744032 43023896 50000744 86047792 100001488 172095584 200002976 231253441 462506882 925013764 1850027528 3700055056 7400110112