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40342412313 = 347279128663
BaseRepresentation
bin100101100100100110…
…000101110000011001
310212010112100212220000
4211210212011300121
51130110124143223
630311045523213
72625502563300
oct454446056031
9125115325800
1040342412313
1116122270525
12799a713509
133a5bcacbb8
141d49c61437
1510b1ac2543
hex964985c19

40342412313 has 60 divisors (see below), whose sum is σ = 70991648640. Its totient is φ = 22760822448.

The previous prime is 40342412311. The next prime is 40342412329. The reversal of 40342412313 is 31321424304.

40342412313 is a `hidden beast` number, since 4 + 0 + 3 + 424 + 1 + 231 + 3 = 666.

It is not a de Polignac number, because 40342412313 - 21 = 40342412311 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (40342412311) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 249220 + ... + 377882.

It is an arithmetic number, because the mean of its divisors is an integer number (1183194144).

Almost surely, 240342412313 is an apocalyptic number.

It is an amenable number.

40342412313 is a deficient number, since it is larger than the sum of its proper divisors (30649236327).

40342412313 is a wasteful number, since it uses less digits than its factorization.

40342412313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128768 (or 128752 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 40342412313 its reverse (31321424304), we get a palindrome (71663836617).

The spelling of 40342412313 in words is "forty billion, three hundred forty-two million, four hundred twelve thousand, three hundred thirteen".

Divisors: 1 3 7 9 21 27 49 63 79 81 147 189 237 441 553 567 711 1323 1659 2133 3871 3969 4977 6399 11613 14931 34839 44793 104517 128663 313551 385989 900641 1157967 2701923 3473901 6304487 8105769 10164377 10421703 18913461 24317307 30493131 56740383 71150639 72951921 91479393 170221149 213451917 274438179 498054473 510663447 640355751 823314537 1494163419 1921067253 4482490257 5763201759 13447470771 40342412313