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142553646355241 = 11210144501262121
BaseRepresentation
bin100000011010011011011011…
…011100111101001100101001
3200200201222212201101022110202
4200122123123130331030221
5122141044331431331431
61223104124022521545
742012106151125532
oct4032333334751451
9620658781338422
10142553646355241
1141470731002200
1213ba3a278962b5
13617099c422ab4
14272b8c1aa9689
151173232b5d8cb
hex81a6db73d329

142553646355241 has 24 divisors (see below), whose sum is σ = 158246755708104. Its totient is φ = 128307740000000.

The previous prime is 142553646355223. The next prime is 142553646355319.

142553646355241 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 74328606931216 + 68225039424025 = 8621404^2 + 8259845^2 .

It is not a de Polignac number, because 142553646355241 - 242 = 138155599844137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (142553646355441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 543715661 + ... + 543977781.

It is an arithmetic number, because the mean of its divisors is an integer number (6593614821171).

Almost surely, 2142553646355241 is an apocalyptic number.

142553646355241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

142553646355241 is a deficient number, since it is larger than the sum of its proper divisors (15693109352863).

142553646355241 is a wasteful number, since it uses less digits than its factorization.

142553646355241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306745 (or 306734 counting only the distinct ones).

The product of its digits is 51840000, while the sum is 56.

The spelling of 142553646355241 in words is "one hundred forty-two trillion, five hundred fifty-three billion, six hundred forty-six million, three hundred fifty-five thousand, two hundred forty-one".

Divisors: 1 11 101 121 1111 12221 44501 262121 489511 2883331 4494601 5384621 26474221 31716641 49440611 291216431 543846721 3203380741 11664646621 128311112831 1178129308721 1411422241141 12959422395931 142553646355241