Search a number
-
+
40021133402131 = 7257709110328447
BaseRepresentation
bin10010001100110001001010…
…11100001010000000010011
312020200222112121011001222221
421012120211130022000103
520221201240122332011
6221041242130241511
711300300665022020
oct1106304534120023
9166628477131887
1040021133402131
111182a95a502972
1245a4444726297
131943c90a1973b
149c5067116547
1549609521a971
hex24662570a013

40021133402131 has 32 divisors (see below), whose sum is σ = 46024476180480. Its totient is φ = 34090021380096.

The previous prime is 40021133402077. The next prime is 40021133402149. The reversal of 40021133402131 is 13120433112004.

It is a cyclic number.

It is not a de Polignac number, because 40021133402131 - 215 = 40021133369363 is a prime.

It is a super-2 number, since 2×400211334021312 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40021133402096 and 40021133402105.

It is not an unprimeable number, because it can be changed into a prime (40021133402191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1406852350 + ... + 1406880796.

It is an arithmetic number, because the mean of its divisors is an integer number (1438264880640).

Almost surely, 240021133402131 is an apocalyptic number.

40021133402131 is a deficient number, since it is larger than the sum of its proper divisors (6003342778349).

40021133402131 is a wasteful number, since it uses less digits than its factorization.

40021133402131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30523.

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 40021133402131 its reverse (13120433112004), we get a palindrome (53141566514135).

The spelling of 40021133402131 in words is "forty trillion, twenty-one billion, one hundred thirty-three million, four hundred two thousand, one hundred thirty-one".

Divisors: 1 7 257 709 1103 1799 4963 7721 28447 182213 199129 283471 782027 1275491 1984297 5474189 7310879 20168923 31377041 51176153 141182461 200980939 219639287 1406866573 5183413211 8063899537 22246322069 36283892477 56447296759 155724254483 5717304771733 40021133402131