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40121212404013 = 13291049331014193
BaseRepresentation
bin10010001111101011100101…
…00111010000000100101101
312021001112212021110010110021
421013311302213100010231
520224321220333412023
6221155232554442141
711310443021345506
oct1107656247200455
9167045767403407
1040121212404013
1111869346498284
1245bb914a33351
13195054c9ca150
149c9c3c85dbad
154989a135d35d
hex247d729d012d

40121212404013 has 16 divisors (see below), whose sum is σ = 44697841942320. Its totient is φ = 35757521501184.

The previous prime is 40121212403959. The next prime is 40121212404023. The reversal of 40121212404013 is 31040421212104.

It can be written as a sum of positive squares in 8 ways, for example, as 1394151670564 + 38727060733449 = 1180742^2 + 6223107^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-40121212404013 is a prime.

It is a super-2 number, since 2×401212124040132 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40121212404023) 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, 39052645 + ... + 40066837.

It is an arithmetic number, because the mean of its divisors is an integer number (2793615121395).

Almost surely, 240121212404013 is an apocalyptic number.

It is an amenable number.

40121212404013 is a deficient number, since it is larger than the sum of its proper divisors (4576629538307).

40121212404013 is a wasteful number, since it uses less digits than its factorization.

40121212404013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1119168.

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 40121212404013 its reverse (31040421212104), we get a palindrome (71161633616117).

The spelling of 40121212404013 in words is "forty trillion, one hundred twenty-one billion, two hundred twelve million, four hundred four thousand, thirteen".

Divisors: 1 13 29 377 104933 1014193 1364129 3043057 13184509 29411597 39559741 382350761 106422314069 1383490082897 3086247108001 40121212404013