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4014344131435 = 511831196973471
BaseRepresentation
bin111010011010101001100…
…011100101001101101011
3112012202201112201002002101
4322122221203211031223
51011232334044201220
612312055250314231
7563012122054231
oct72325143451553
915182645632071
104014344131435
111308523676950
1254a00b888977
132317217b7581
14dc41c3d6951
156e65041830a
hex3a6a98e536b

4014344131435 has 32 divisors (see below), whose sum is σ = 5318973112320. Its totient is φ = 2884067788800.

The previous prime is 4014344131403. The next prime is 4014344131471. The reversal of 4014344131435 is 5341314434104.

4014344131435 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4014344131435 - 25 = 4014344131403 is a prime.

It is a super-2 number, since 2×40143441314352 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4014344131394 and 4014344131403.

It is an unprimeable number.

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, 54601750 + ... + 54675220.

It is an arithmetic number, because the mean of its divisors is an integer number (166217909760).

Almost surely, 24014344131435 is an apocalyptic number.

4014344131435 is a deficient number, since it is larger than the sum of its proper divisors (1304628980885).

4014344131435 is a wasteful number, since it uses less digits than its factorization.

4014344131435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85539.

The product of its (nonzero) digits is 138240, while the sum is 37.

Adding to 4014344131435 its reverse (5341314434104), we get a palindrome (9355658565539).

The spelling of 4014344131435 in words is "four trillion, fourteen billion, three hundred forty-four million, one hundred thirty-one thousand, four hundred thirty-five".

Divisors: 1 5 11 55 83 415 913 4565 11969 59845 73471 131659 367355 658295 808181 993427 4040905 4967135 6098093 10927697 30490465 54638485 67079023 335395115 879374399 4396871995 9673118389 48365591945 72988075117 364940375585 802868826287 4014344131435