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13301444121444 = 223441053839881
BaseRepresentation
bin1100000110001111101111…
…0110100001001101100100
31202002121100111210112020000
43001203323312201031210
53220412324143341234
644142333222141300
72541666120351453
oct301437366411544
952077314715200
1013301444121444
114269124490896
1215a9aaa881830
13756422a4324b
1433db16c82b9a
15181003a03899
hexc18fbda1364

13301444121444 has 30 divisors (see below), whose sum is σ = 34772602380054. Its totient is φ = 4433814707040.

The previous prime is 13301444121409. The next prime is 13301444121451. The reversal of 13301444121444 is 44412144410331.

13301444121444 is a `hidden beast` number, since 1 + 3 + 30 + 144 + 41 + 2 + 1 + 444 = 666.

13301444121444 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 only one way, i.e., 11033823758400 + 2267620363044 = 3321720^2 + 1505862^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13301444121399 and 13301444121408.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 20526919617 + ... + 20526920264.

Almost surely, 213301444121444 is an apocalyptic number.

It is an amenable number.

13301444121444 is an abundant number, since it is smaller than the sum of its proper divisors (21471158258610).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13301444121444 is a wasteful number, since it uses less digits than its factorization.

13301444121444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41053839897 (or 41053839886 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 13301444121444 its reverse (44412144410331), we get a palindrome (57713588531775).

The spelling of 13301444121444 in words is "thirteen trillion, three hundred one billion, four hundred forty-four million, one hundred twenty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 41053839881 82107679762 123161519643 164215359524 246323039286 369484558929 492646078572 738969117858 1108453676787 1477938235716 2216907353574 3325361030361 4433814707148 6650722060722 13301444121444