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40597414145 = 5171505331729
BaseRepresentation
bin100101110011110010…
…110110000100000001
310212210022012022122022
4211303302312010001
51131120414223040
630352235251225
72635020220001
oct456362660401
9125708168568
1040597414145
1116243200142
127a4bba9b15
133a9ca84162
141d71a80001
1510c91936b5
hex973cb6101

40597414145 has 16 divisors (see below), whose sum is σ = 51587649360. Its totient is φ = 30564470784.

The previous prime is 40597414141. The next prime is 40597414159. The reversal of 40597414145 is 54141479504.

It is a Cunningham number, because it is equal to 2014882+1.

It can be written as a sum of positive squares in 8 ways, for example, as 14614875664 + 25982538481 = 120892^2 + 161191^2 .

It is a cyclic number.

It is not a de Polignac number, because 40597414145 - 22 = 40597414141 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 40597414096 and 40597414105.

It is not an unprimeable number, because it can be changed into a prime (40597414141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1263641 + ... + 1295369.

It is an arithmetic number, because the mean of its divisors is an integer number (3224228085).

Almost surely, 240597414145 is an apocalyptic number.

It is an amenable number.

40597414145 is a deficient number, since it is larger than the sum of its proper divisors (10990235215).

40597414145 is a wasteful number, since it uses less digits than its factorization.

40597414145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46804.

The product of its (nonzero) digits is 403200, while the sum is 44.

The spelling of 40597414145 in words is "forty billion, five hundred ninety-seven million, four hundred fourteen thousand, one hundred forty-five".

Divisors: 1 5 17 85 15053 31729 75265 158645 255901 539393 1279505 2696965 477616637 2388083185 8119482829 40597414145