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10042444013141 = 1711326053200657
BaseRepresentation
bin1001001000100011000001…
…0011101101111001010101
31022120001022012010112002002
42102020300103231321111
52304013411131410031
633205233551325045
72054354060452661
oct222106023557125
938501265115062
1010042444013141
113221a81926331
121162362220785
1357acc9666ab7
1426a0b21358a1
15126361296ccb
hex922304ede55

10042444013141 has 16 divisors (see below), whose sum is σ = 10727740127664. Its totient is φ = 9367662280704.

The previous prime is 10042444013099. The next prime is 10042444013177. The reversal of 10042444013141 is 14131044424001.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1147585132516 + 8894858880625 = 1071254^2 + 2982425^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10042444013141 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10042444013191) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49947485 + ... + 50148141.

It is an arithmetic number, because the mean of its divisors is an integer number (670483757979).

Almost surely, 210042444013141 is an apocalyptic number.

It is an amenable number.

10042444013141 is a deficient number, since it is larger than the sum of its proper divisors (685296114523).

10042444013141 is a wasteful number, since it uses less digits than its factorization.

10042444013141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226840.

The product of its (nonzero) digits is 6144, while the sum is 29.

Adding to 10042444013141 its reverse (14131044424001), we get a palindrome (24173488437142).

The spelling of 10042444013141 in words is "ten trillion, forty-two billion, four hundred forty-four million, thirteen thousand, one hundred forty-one".

Divisors: 1 17 113 1921 26053 200657 442901 2943989 3411169 22674241 50047813 385462097 5227716821 88871185957 590732000773 10042444013141