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142232202232241 = 1121175472745721
BaseRepresentation
bin100000010101110000000011…
…111000111100000110110001
3200122121021011201112222010212
4200111300003320330012301
5122120313022232412431
61222300323251433505
741646636364144142
oct4025600370740661
9618537151488125
10142232202232241
114135737a1a0a00
1213b516788b5895
13614959298c714
14271a10a965ac9
151169bbca7572b
hex815c03e3c1b1

142232202232241 has 6 divisors (see below), whose sum is σ = 156337875181026. Its totient is φ = 129302002029200.

The previous prime is 142232202232147. The next prime is 142232202232319.

142232202232241 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 83479670631841 + 58752531600400 = 9136721^2 + 7665020^2 .

It is a de Polignac number, because none of the positive numbers 2k-142232202232241 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 142232202232198 and 142232202232207.

It is not an unprimeable number, because it can be changed into a prime (142232202235241) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 587736372740 + ... + 587736372981.

It is an arithmetic number, because the mean of its divisors is an integer number (26056312530171).

Almost surely, 2142232202232241 is an apocalyptic number.

142232202232241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

142232202232241 is a deficient number, since it is larger than the sum of its proper divisors (14105672948785).

142232202232241 is a wasteful number, since it uses less digits than its factorization.

142232202232241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1175472745743 (or 1175472745732 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

It can be divided in two parts, 14223220 and 2232241, that added together give a palindrome (16455461).

The spelling of 142232202232241 in words is "one hundred forty-two trillion, two hundred thirty-two billion, two hundred two million, two hundred thirty-two thousand, two hundred forty-one".

Divisors: 1 11 121 1175472745721 12930200202931 142232202232241