Search a number
-
+
2401114065 = 357131227769
BaseRepresentation
bin1000111100011110…
…0001011111010001
320012100010020021120
42033013201133101
514404141122230
61034132112453
7113334063360
oct21707413721
96170106246
102401114065
111022403599
12570165729
132c35b8a6c
1418ac6d7d7
15e0be6310
hex8f1e17d1

2401114065 has 64 divisors (see below), whose sum is σ = 4449392640. Its totient is φ = 1083064320.

The previous prime is 2401114063. The next prime is 2401114081. The reversal of 2401114065 is 5604111042.

It is a happy number.

It is not a de Polignac number, because 2401114065 - 21 = 2401114063 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2401114063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3122001 + ... + 3122769.

It is an arithmetic number, because the mean of its divisors is an integer number (69521760).

Almost surely, 22401114065 is an apocalyptic number.

It is an amenable number.

2401114065 is a deficient number, since it is larger than the sum of its proper divisors (2048278575).

2401114065 is a wasteful number, since it uses less digits than its factorization.

2401114065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1142.

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 2401114065 is about 49001.1639147480. The cubic root of 2401114065 is about 1339.0730325121.

The spelling of 2401114065 in words is "two billion, four hundred one million, one hundred fourteen thousand, sixty-five".

Divisors: 1 3 5 7 15 21 35 105 131 227 393 655 681 769 917 1135 1589 1965 2307 2751 3405 3845 4585 4767 5383 7945 11535 13755 16149 23835 26915 29737 80745 89211 100739 148685 174563 208159 302217 446055 503695 523689 624477 705173 872815 1040795 1221941 1511085 2115519 2618445 3122385 3525865 3665823 6109705 10577595 18329115 22867753 68603259 114338765 160074271 343016295 480222813 800371355 2401114065