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12442441044300 = 22352102551404431
BaseRepresentation
bin1011010100001111101101…
…0001110101000101001100
31122001111010002221220112220
42311003323101311011030
53112324104401404200
642243551205055340
72422636200565401
oct265037321650514
948044102856486
1012442441044300
113a6789a660a23
12148b5183b7550
136c3417a3a097
143103086142a8
151689ca7834a0
hexb50fb47514c

12442441044300 has 72 divisors (see below), whose sum is σ = 36000569482752. Its totient is φ = 3317943720000.

The previous prime is 12442441044277. The next prime is 12442441044301. The reversal of 12442441044300 is 344014424421.

12442441044300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12442441044301) 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, 30563085 + ... + 30967515.

Almost surely, 212442441044300 is an apocalyptic number.

12442441044300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12442441044300 is an abundant number, since it is smaller than the sum of its proper divisors (23558128438452).

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

12442441044300 is a wasteful number, since it uses less digits than its factorization.

12442441044300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506999 (or 506992 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 33.

Adding to 12442441044300 its reverse (344014424421), we get a palindrome (12786455468721).

The spelling of 12442441044300 in words is "twelve trillion, four hundred forty-two billion, four hundred forty-one million, forty-four thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 102551 205102 307653 404431 410204 512755 615306 808862 1025510 1213293 1230612 1538265 1617724 2022155 2051020 2426586 2563775 3076530 4044310 4853172 5127550 6066465 6153060 7691325 8088620 10110775 10255100 12132930 15382650 20221550 24265860 30332325 30765300 40443100 60664650 121329300 41474803481 82949606962 124424410443 165899213924 207374017405 248848820886 414748034810 497697641772 622122052215 829496069620 1036870087025 1244244104430 2073740174050 2488488208860 3110610261075 4147480348100 6221220522150 12442441044300