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35142444216 = 2335111799181
BaseRepresentation
bin100000101110101001…
…110010010010111000
310100201010201010200000
4200232221302102320
51033432431203331
624051052313000
72352601563405
oct405651622270
9110633633600
1035142444216
11139a3aa2530
126989172760
1334108a86b9
1419b53c92ac
15daa31b0e6
hex82ea724b8

35142444216 has 192 divisors, whose sum is σ = 108288835200. Its totient is φ = 10588579200.

The previous prime is 35142444191. The next prime is 35142444277. The reversal of 35142444216 is 61244424153.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3823146 + ... + 3832326.

It is an arithmetic number, because the mean of its divisors is an integer number (564004350).

Almost surely, 235142444216 is an apocalyptic number.

35142444216 is a gapful number since it is divisible by the number (36) 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 35142444216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54144417600).

35142444216 is an abundant number, since it is smaller than the sum of its proper divisors (73146390984).

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

35142444216 is a wasteful number, since it uses less digits than its factorization.

35142444216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9392 (or 9376 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

Adding to 35142444216 its reverse (61244424153), we get a palindrome (96386868369).

The spelling of 35142444216 in words is "thirty-five billion, one hundred forty-two million, four hundred forty-four thousand, two hundred sixteen".