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137103423058337 = 614311415213137
BaseRepresentation
bin11111001011000111100000…
…110101000011000110100001
3122222102221220021200222200012
4133023013200311003012201
5120432300302300331322
61203332235410334305
740610252430362261
oct3713074065030641
9588387807628605
10137103423058337
113a75a265045aaa
121346368ab8a395
135b66a4992a548
1425bdbabd057a1
1510cb594791ae2
hex7cb1e0d431a1

137103423058337 has 8 divisors (see below), whose sum is σ = 139351370102952. Its totient is φ = 134855487302400.

The previous prime is 137103423058321. The next prime is 137103423058351. The reversal of 137103423058337 is 733850324301731.

It can be written as a sum of positive squares in 4 ways, for example, as 57224141432896 + 79879281625441 = 7564664^2 + 8937521^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 137103423058337 - 24 = 137103423058321 is a prime.

It is a super-2 number, since 2×1371034230583372 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137103423058367) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23693033 + ... + 28906169.

It is an arithmetic number, because the mean of its divisors is an integer number (17418921262869).

Almost surely, 2137103423058337 is an apocalyptic number.

It is an amenable number.

137103423058337 is a deficient number, since it is larger than the sum of its proper divisors (2247947044615).

137103423058337 is an equidigital number, since it uses as much as digits as its factorization.

137103423058337 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5644339.

The product of its (nonzero) digits is 3810240, while the sum is 50.

The spelling of 137103423058337 in words is "one hundred thirty-seven trillion, one hundred three billion, four hundred twenty-three million, fifty-eight thousand, three hundred thirty-seven".

Divisors: 1 61 431141 5213137 26299601 318001357 2247597099317 137103423058337