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350042303240053 = 2918809936417049
BaseRepresentation
bin100111110010111001001001…
…1001001000001011101110101
31200220101201100222010002212121
41033211302103021001131311
5331340043114112140203
63240251114130515541
7133505502406626454
oct11745622311013565
91626351328102777
10350042303240053
11a159711a65aa26
1233314663135bb1
1312041b03118188
1462621d0480b9b
152a7060c2b70bd
hex13e5c93241775

350042303240053 has 8 divisors (see below), whose sum is σ = 362112976431000. Its totient is φ = 337971646645248.

The previous prime is 350042303240009. The next prime is 350042303240057.

350042303240053 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 12723788629764 + 337318514610289 = 3567042^2 + 18366233^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-350042303240053 is a prime.

It is a super-2 number, since 2×3500423032400532 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350042303240057) 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, 51340273 + ... + 57757321.

It is an arithmetic number, because the mean of its divisors is an integer number (45264122053875).

Almost surely, 2350042303240053 is an apocalyptic number.

It is an amenable number.

350042303240053 is a deficient number, since it is larger than the sum of its proper divisors (12070673190947).

350042303240053 is a wasteful number, since it uses less digits than its factorization.

350042303240053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8298071.

The product of its (nonzero) digits is 129600, while the sum is 34.

It can be divided in two parts, 35004230 and 3240053, that added together give a palindrome (38244283).

The spelling of 350042303240053 in words is "three hundred fifty trillion, forty-two billion, three hundred three million, two hundred forty thousand, fifty-three".

Divisors: 1 29 1880993 6417049 54548797 186094421 12070424249657 350042303240053