Search a number
-
+
4162416040 = 2351014
BaseRepresentation
bin1111100000011001…
…0110110110101000
3101202002022122101001
43320012112312220
532011034303130
61525011004344
7205101644506
oct37006266650
911662278331
104162416040
111846636862
12981b996b4
13514479a93
142b6b51676
151956586ca
hexf8196da8

4162416040 has 40 divisors (see below), whose sum is σ = 9459090450. Its totient is φ = 1648481600.

The previous prime is 4162416031. The next prime is 4162416061. The reversal of 4162416040 is 406142614.

4162416040 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 5 ways, for example, as 4137834276 + 24581764 = 64326^2 + 4958^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 41211990 + ... + 41212090.

Almost surely, 24162416040 is an apocalyptic number.

4162416040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4162416040 is an abundant number, since it is smaller than the sum of its proper divisors (5296674410).

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

4162416040 is an frugal number, since it uses more digits than its factorization.

4162416040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 4162416040 is about 64516.7888227553. The cubic root of 4162416040 is about 1608.6015968414.

Adding to 4162416040 its reverse (406142614), we get a palindrome (4568558654).

The spelling of 4162416040 in words is "four billion, one hundred sixty-two million, four hundred sixteen thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 101 202 404 505 808 1010 2020 4040 10201 20402 40804 51005 81608 102010 204020 408040 1030301 2060602 4121204 5151505 8242408 10303010 20606020 41212040 104060401 208120802 416241604 520302005 832483208 1040604010 2081208020 4162416040