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40157142137 = 72819533513
BaseRepresentation
bin100101011001100011…
…010101110001111001
310211122121202011222122
4211121203111301321
51124220212022022
630240430531025
72621063035100
oct453143256171
9124577664878
1040157142137
1116037729282
127948666a75
133a2c7b2288
141d2d3d5037
1510a06c7742
hex9598d5c79

40157142137 has 6 divisors (see below), whose sum is σ = 46713410298. Its totient is φ = 34420407504.

The previous prime is 40157142133. The next prime is 40157142139. The reversal of 40157142137 is 73124175104.

It can be written as a sum of positive squares in only one way, i.e., 35834868601 + 4322273536 = 189301^2 + 65744^2 .

It is not a de Polignac number, because 40157142137 - 22 = 40157142133 is a prime.

It is a super-2 number, since 2×401571421372 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 40157142097 and 40157142106.

It is not an unprimeable number, because it can be changed into a prime (40157142133) 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 5 ways as a sum of consecutive naturals, for example, 409766708 + ... + 409766805.

It is an arithmetic number, because the mean of its divisors is an integer number (7785568383).

Almost surely, 240157142137 is an apocalyptic number.

It is an amenable number.

40157142137 is a deficient number, since it is larger than the sum of its proper divisors (6556268161).

40157142137 is an equidigital number, since it uses as much as digits as its factorization.

40157142137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819533527 (or 819533520 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 35.

The spelling of 40157142137 in words is "forty billion, one hundred fifty-seven million, one hundred forty-two thousand, one hundred thirty-seven".

Divisors: 1 7 49 819533513 5736734591 40157142137