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142054242450241 = 1128669135425309
BaseRepresentation
bin100000010011001010010100…
…101010001111101101000001
3200121222020211101211100211211
4200103022110222033231001
5122104404042031401431
61222042452412010121
741631036361022362
oct4023122452175501
9617866741740754
10142054242450241
1141298958575800
1213b23092460941
136135871934374
142711667ad3b69
1511652545262b1
hex813294a8fb41

142054242450241 has 12 divisors (see below), whose sum is σ = 156160279214100. Its totient is φ = 129125322671840.

The previous prime is 142054242450209. The next prime is 142054242450269.

142054242450241 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 43816509315216 + 98237733135025 = 6619404^2 + 9911495^2 .

It is not a de Polignac number, because 142054242450241 - 25 = 142054242450209 is a prime.

It is a super-2 number, since 2×1420542424502412 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 142054242450194 and 142054242450203.

It is not an unprimeable number, because it can be changed into a prime (142054242450541) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66663706 + ... + 68761603.

It is an arithmetic number, because the mean of its divisors is an integer number (13013356601175).

Almost surely, 2142054242450241 is an apocalyptic number.

142054242450241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

142054242450241 is a deficient number, since it is larger than the sum of its proper divisors (14106036763859).

142054242450241 is a wasteful number, since it uses less digits than its factorization.

142054242450241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135434000 (or 135433989 counting only the distinct ones).

The product of its (nonzero) digits is 409600, while the sum is 40.

The spelling of 142054242450241 in words is "one hundred forty-two trillion, fifty-four billion, two hundred forty-two million, four hundred fifty thousand, two hundred forty-one".

Divisors: 1 11 121 8669 95359 1048949 135425309 1489678399 16386462389 1174002003721 12914022040931 142054242450241