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34046165043 = 321110119117827
BaseRepresentation
bin11111101101010011…
…110100000000110011
310020212201212101100200
4133231103310000303
51024211304240133
623350211250243
72313460425252
oct375523640063
9106781771320
1034046165043
1113491199790
126721ba9983
13329772b4b7
14190d978799
15d43e6c913
hex7ed4f4033

34046165043 has 48 divisors (see below), whose sum is σ = 54466394112. Its totient is φ = 20321640000.

The previous prime is 34046165017. The next prime is 34046165063. The reversal of 34046165043 is 34056164043.

34046165043 is a `hidden beast` number, since 34 + 0 + 4 + 616 + 5 + 0 + 4 + 3 = 666.

It is not a de Polignac number, because 34046165043 - 220 = 34045116467 is a prime.

It is a super-3 number, since 3×340461650433 (a number of 33 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34046164989 and 34046165007.

It is not an unprimeable number, because it can be changed into a prime (34046165003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1900896 + ... + 1918722.

It is an arithmetic number, because the mean of its divisors is an integer number (1134716544).

Almost surely, 234046165043 is an apocalyptic number.

34046165043 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34046165043 is a deficient number, since it is larger than the sum of its proper divisors (20420229069).

34046165043 is a wasteful number, since it uses less digits than its factorization.

34046165043 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18136 (or 18133 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

It can be divided in two parts, 340461 and 65043, that added together give a palindrome (405504).

The spelling of 34046165043 in words is "thirty-four billion, forty-six million, one hundred sixty-five thousand, forty-three".

Divisors: 1 3 9 11 33 99 101 191 303 573 909 1111 1719 2101 3333 6303 9999 17827 18909 19291 53481 57873 160443 173619 196097 212201 588291 636603 1764873 1800527 1909809 3404957 5401581 10214871 16204743 19805797 30644613 37454527 59417391 112363581 178252173 337090743 343900657 1031701971 3095105913 3782907227 11348721681 34046165043