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35113404420 = 2234573973061
BaseRepresentation
bin100000101100111011…
…000000100000000100
310100122010001202120000
4200230323000200010
51033403012420140
624044134041300
72352100004313
oct405473004004
9110563052500
1035113404420
11139896684a6
12697b4a9230
13340787b7a3
1419b15ca27a
15da79d1a30
hex82cec0804

35113404420 has 240 divisors, whose sum is σ = 112848981168. Its totient is φ = 9137111040.

The previous prime is 35113404343. The next prime is 35113404433. The reversal of 35113404420 is 2440431153.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1694639556 + 33418764864 = 41166^2 + 182808^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11469690 + ... + 11472750.

Almost surely, 235113404420 is an apocalyptic number.

35113404420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35113404420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56424490584).

35113404420 is an abundant number, since it is smaller than the sum of its proper divisors (77735576748).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

35113404420 is a wasteful number, since it uses less digits than its factorization.

35113404420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3252 (or 3241 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 35113404420 its reverse (2440431153), we get a palindrome (37553835573).

The spelling of 35113404420 in words is "thirty-five billion, one hundred thirteen million, four hundred four thousand, four hundred twenty".