Search a number
-
+
4013141320 = 235101399041
BaseRepresentation
bin1110111100110011…
…1010110101001000
3101100200102200221201
43233030322311020
531204331010240
61502115313544
7201310065316
oct35714726510
911320380851
104013141320
11177a34a521
1293bbab8b4
134bc573046
142a0db50b6
151874bdd9a
hexef33ad48

4013141320 has 32 divisors (see below), whose sum is σ = 9038572920. Its totient is φ = 1603655680.

The previous prime is 4013141309. The next prime is 4013141333. The reversal of 4013141320 is 231413104.

It can be written as a sum of positive squares in 4 ways, for example, as 1264655844 + 2748485476 = 35562^2 + 52426^2 .

It is a super-2 number, since 2×40131413202 = 32210606508582684800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9001 + ... + 90040.

Almost surely, 24013141320 is an apocalyptic number.

4013141320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4013141320 is an abundant number, since it is smaller than the sum of its proper divisors (5025431600).

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

4013141320 is a wasteful number, since it uses less digits than its factorization.

4013141320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100065 (or 100061 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 4013141320 is about 63349.3592706351. The cubic root of 4013141320 is about 1589.1375304853.

Adding to 4013141320 its reverse (231413104), we get a palindrome (4244554424).

The spelling of 4013141320 in words is "four billion, thirteen million, one hundred forty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 1013 2026 4052 5065 8104 10130 20260 40520 99041 198082 396164 495205 792328 990410 1980820 3961640 100328533 200657066 401314132 501642665 802628264 1003285330 2006570660 4013141320