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40103032413431 = 1341795813163841
BaseRepresentation
bin10010001111001001101110…
…00000000101110011110111
312020222210221021120220202202
421013210313000011303313
520224022002244212211
6221143025002255115
711306230346104511
oct1107446700056367
9166883837526682
1040103032413431
111186166734a279
1245b82a04b749b
13194b9133ca080
149c8dd617cbb1
1549828a29e53b
hex247937005cf7

40103032413431 has 32 divisors (see below), whose sum is σ = 44809240331520. Its totient is φ = 35651793715200.

The previous prime is 40103032413427. The next prime is 40103032413461. The reversal of 40103032413431 is 13431423030104.

It is a happy number.

40103032413431 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 40103032413431 - 22 = 40103032413427 is a prime.

It is a super-2 number, since 2×401030324134312 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 40103032413394 and 40103032413403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40103032413461) 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 31 ways as a sum of consecutive naturals, for example, 244686071 + ... + 244849911.

It is an arithmetic number, because the mean of its divisors is an integer number (1400288760360).

Almost surely, 240103032413431 is an apocalyptic number.

40103032413431 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

40103032413431 is a deficient number, since it is larger than the sum of its proper divisors (4706207918089).

40103032413431 is a wasteful number, since it uses less digits than its factorization.

40103032413431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169787.

The product of its (nonzero) digits is 10368, while the sum is 29.

Adding to 40103032413431 its reverse (13431423030104), we get a palindrome (53534455443535).

The spelling of 40103032413431 in words is "forty trillion, one hundred three billion, thirty-two million, four hundred thirteen thousand, four hundred thirty-one".

Divisors: 1 13 41 79 533 1027 3239 5813 42107 75569 163841 238333 459227 2129933 3098329 5969951 6717481 12943439 18828307 87327253 168264707 244767991 530680999 952407733 6898852987 12381300529 39048717053 75240210907 507633321689 978122741791 3084848647187 40103032413431