Search a number
-
+
35420005841 = 112535523157
BaseRepresentation
bin100000111111001100…
…100110010111010001
310101102110222201122012
4200333030212113101
51040020010141331
624134405352305
72362512040103
oct407714462721
9111373881565
1035420005841
1114026740700
126a46108695
13345624b24c
141a001db573
15dc489682b
hex83f3265d1

35420005841 has 12 divisors (see below), whose sum is σ = 39667320756. Its totient is φ = 31592452320.

The previous prime is 35420005837. The next prime is 35420005867. The reversal of 35420005841 is 14850002453.

35420005841 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 16848040000 + 18571965841 = 129800^2 + 136279^2 .

It is not a de Polignac number, because 35420005841 - 22 = 35420005837 is a prime.

It is a super-3 number, since 3×354200058413 (a number of 33 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 35420005798 and 35420005807.

It is not an unprimeable number, because it can be changed into a prime (35420025841) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2755166 + ... + 2767991.

It is an arithmetic number, because the mean of its divisors is an integer number (3305610063).

Almost surely, 235420005841 is an apocalyptic number.

It is an amenable number.

35420005841 is a deficient number, since it is larger than the sum of its proper divisors (4247314915).

35420005841 is a wasteful number, since it uses less digits than its factorization.

35420005841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5523232 (or 5523221 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

The spelling of 35420005841 in words is "thirty-five billion, four hundred twenty million, five thousand, eight hundred forty-one".

Divisors: 1 11 53 121 583 6413 5523157 60754727 292727321 668301997 3220000531 35420005841