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40112306676 = 22331329399721
BaseRepresentation
bin100101010110111000…
…010011100111110100
310211112111101022022000
4211112320103213310
51124122222303201
630232145535300
72620006660341
oct452670234764
9124474338260
1040112306676
1116014395782
127935644530
133a23414810
141d274837c8
15109b7bcd86
hex956e139f4

40112306676 has 96 divisors (see below), whose sum is σ = 112044105600. Its totient is φ = 12336779520.

The previous prime is 40112306671. The next prime is 40112306693. The reversal of 40112306676 is 67660321104.

It is a happy number.

40112306676 is a `hidden beast` number, since 401 + 123 + 0 + 66 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 40112306676.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40112306671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4121496 + ... + 4131216.

It is an arithmetic number, because the mean of its divisors is an integer number (1167126100).

Almost surely, 240112306676 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 40112306676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56022052800).

40112306676 is an abundant number, since it is smaller than the sum of its proper divisors (71931798924).

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

40112306676 is a wasteful number, since it uses less digits than its factorization.

40112306676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12686 (or 12678 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 40112306676 in words is "forty billion, one hundred twelve million, three hundred six thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 468 702 1404 2939 5878 8817 9721 11756 17634 19442 26451 29163 35268 38207 38884 52902 58326 76414 79353 87489 105804 114621 116652 126373 152828 158706 174978 229242 252746 262467 317412 343863 349956 379119 458484 505492 524934 687726 758238 1031589 1049868 1137357 1375452 1516476 2063178 2274714 3412071 4126356 4549428 6824142 13648284 28570019 57140038 85710057 114280076 171420114 257130171 342840228 371410247 514260342 742820494 771390513 1028520684 1114230741 1485640988 1542781026 2228461482 3085562052 3342692223 4456922964 6685384446 10028076669 13370768892 20056153338 40112306676