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1041426082125 = 345311213232843
BaseRepresentation
bin11110010011110011101…
…01001110100101001101
310200120002202220102220000
433021321311032211031
5114030320034112000
62114231411114513
7135145336432452
oct17117165164515
93616082812800
101041426082125
11371736967600
12149a035a2a39
137728a92c480
1438596195829
151c153546000
hexf279d4e94d

1041426082125 has 480 divisors, whose sum is σ = 2399001276672. Its totient is φ = 445671072000.

The previous prime is 1041426082069. The next prime is 1041426082129. The reversal of 1041426082125 is 5212806241401.

1041426082125 is a `hidden beast` number, since 1 + 0 + 4 + 1 + 4 + 2 + 608 + 21 + 25 = 666.

It is not a de Polignac number, because 1041426082125 - 29 = 1041426081613 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1041426082125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1041426082129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 366310954 + ... + 366313796.

Almost surely, 21041426082125 is an apocalyptic number.

1041426082125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1041426082125 is an abundant number, since it is smaller than the sum of its proper divisors (1357575194547).

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

1041426082125 is a wasteful number, since it uses less digits than its factorization.

1041426082125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2928 (or 2898 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 1041426082125 in words is "one trillion, forty-one billion, four hundred twenty-six million, eighty-two thousand, one hundred twenty-five".