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40068129058397 = 11176719916070507
BaseRepresentation
bin10010001110001000101101…
…00110010110111001011101
312020212110211210202202210122
421013010112212112321131
520222434012014332042
6221115013330244325
711303553406351106
oct1107042646267135
9166773753682718
1040068129058397
1111848886309010
1245b157b4266a5
131948540213a7b
149c744482d3ad
154973e5e5e7d2
hex247116996e5d

40068129058397 has 32 divisors (see below), whose sum is σ = 47208724300800. Its totient is φ = 33601499585280.

The previous prime is 40068129058381. The next prime is 40068129058423. The reversal of 40068129058397 is 79385092186004.

40068129058397 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 40068129058397 - 24 = 40068129058381 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40068129058897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5541983 + ... + 10528524.

It is an arithmetic number, because the mean of its divisors is an integer number (1475272634400).

It is a 2-persistent number, because it is pandigital, and so is 2⋅40068129058397 = 80136258116794, but 3⋅40068129058397 = 120204387175191 is not.

Almost surely, 240068129058397 is an apocalyptic number.

It is an amenable number.

40068129058397 is a deficient number, since it is larger than the sum of its proper divisors (7140595242403).

40068129058397 is a wasteful number, since it uses less digits than its factorization.

40068129058397 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16070801.

The product of its (nonzero) digits is 26127360, while the sum is 62.

The spelling of 40068129058397 in words is "forty trillion, sixty-eight billion, one hundred twenty-nine million, fifty-eight thousand, three hundred ninety-seven".

Divisors: 1 11 17 67 187 199 737 1139 2189 3383 12529 13333 37213 146663 226661 2493271 16070507 176775577 273198619 1076723969 3005184809 3198030893 11843963659 18304307473 35178339823 54366525181 201347382203 214268069831 598031776991 2356948768141 3642557187127 40068129058397