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40167070041 = 374435637669
BaseRepresentation
bin100101011010001001…
…001101100101011001
310211200022102120111210
4211122021031211121
51124230232220131
630241423413333
72621243314320
oct453211154531
9124608376453
1040167070041
111604229a25a
12794ba54249
133a3187a087
141d3085b0b7
1510a14d9146
hex95a24d959

40167070041 has 32 divisors (see below), whose sum is σ = 61462103040. Its totient is φ = 22857142464.

The previous prime is 40167070037. The next prime is 40167070043. The reversal of 40167070041 is 14007076104.

It is not a de Polignac number, because 40167070041 - 22 = 40167070037 is a prime.

It is a super-2 number, since 2×401670700412 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 40167069990 and 40167070008.

It is not an unprimeable number, because it can be changed into a prime (40167070043) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 5233755 + ... + 5241423.

It is an arithmetic number, because the mean of its divisors is an integer number (1920690720).

Almost surely, 240167070041 is an apocalyptic number.

It is an amenable number.

40167070041 is a deficient number, since it is larger than the sum of its proper divisors (21295032999).

40167070041 is a wasteful number, since it uses less digits than its factorization.

40167070041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8685.

The product of its (nonzero) digits is 4704, while the sum is 30.

The spelling of 40167070041 in words is "forty billion, one hundred sixty-seven million, seventy thousand, forty-one".

Divisors: 1 3 7 21 443 563 1329 1689 3101 3941 7669 9303 11823 23007 53683 161049 249409 748227 1745863 3397367 4317647 5237589 10192101 12952941 23781569 30223529 71344707 90670587 1912717621 5738152863 13389023347 40167070041