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40311507645 = 3258310792907
BaseRepresentation
bin100101100010110000…
…001100101010111101
310212001101012202122200
4211202300030222331
51130024221221040
630304023302113
72624646106233
oct454260145275
9125041182580
1040311507645
1116106882382
1279902aa939
133a5577c206
141d45ad8953
1510ae01a630
hex962c0cabd

40311507645 has 24 divisors (see below), whose sum is σ = 70715133216. Its totient is φ = 21240439008.

The previous prime is 40311507539. The next prime is 40311507653. The reversal of 40311507645 is 54670511304.

40311507645 is a `hidden beast` number, since 4 + 0 + 3 + 1 + 1 + 5 + 0 + 7 + 645 = 666.

It is not a de Polignac number, because 40311507645 - 28 = 40311507389 is a prime.

It is a super-3 number, since 3×403115076453 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5392719 + ... + 5400188.

It is an arithmetic number, because the mean of its divisors is an integer number (2946463884).

Almost surely, 240311507645 is an apocalyptic number.

40311507645 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

40311507645 is a deficient number, since it is larger than the sum of its proper divisors (30403625571).

40311507645 is a wasteful number, since it uses less digits than its factorization.

40311507645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10793001 (or 10792998 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 40311507645 in words is "forty billion, three hundred eleven million, five hundred seven thousand, six hundred forty-five".

Divisors: 1 3 5 9 15 45 83 249 415 747 1245 3735 10792907 32378721 53964535 97136163 161893605 485680815 895811281 2687433843 4479056405 8062301529 13437169215 40311507645