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142214412241 = 1124153540877
BaseRepresentation
bin1000010001110010100…
…0111011011111010001
3111121002011111200021101
42010130220323133101
54312223342142431
6145155444224401
713163130362446
oct2043450733721
9447064450241
10142214412241
1155349367900
122368b39b101
131054559b5b5
146c5177b9cd
153a75338961
hex211ca3b7d1

142214412241 has 24 divisors (see below), whose sum is σ = 163152603432. Its totient is φ = 123752428800.

The previous prime is 142214412239. The next prime is 142214412251.

142214412241 is nontrivially palindromic in base 10.

142214412241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 389865025 + 141824547216 = 19745^2 + 376596^2 .

It is not a de Polignac number, because 142214412241 - 21 = 142214412239 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (142214412251) 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 23 ways as a sum of consecutive naturals, for example, 7506 + ... + 533371.

It is an arithmetic number, because the mean of its divisors is an integer number (6798025143).

Almost surely, 2142214412241 is an apocalyptic number.

142214412241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

142214412241 is a deficient number, since it is larger than the sum of its proper divisors (20938191191).

142214412241 is a wasteful number, since it uses less digits than its factorization.

142214412241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540993 (or 540982 counting only the distinct ones).

The product of its digits is 4096, while the sum is 28.

It can be divided in two parts, 142214 and 412241, that added together give a palindrome (554455).

The spelling of 142214412241 in words is "one hundred forty-two billion, two hundred fourteen million, four hundred twelve thousand, two hundred forty-one".

Divisors: 1 11 41 53 121 451 583 2173 4961 6413 23903 262933 540877 5949647 22175957 28666481 65446117 243935527 315331291 1175325721 2683290797 3468644201 12928582931 142214412241