Search a number
-
+
2320205424414 = 235314948968077
BaseRepresentation
bin100001110000110111000…
…001010010011100011110
322012210212002211210021120
4201300313001102130132
5301003240042040124
64533515422311410
7326425565463333
oct41606701223436
98183762753246
102320205424414
11814aa2524549
12315808128566
1313aa434a3bc7
14804272ac98a
1540549483d79
hex21c3705271e

2320205424414 has 32 divisors (see below), whose sum is σ = 4759697181600. Its totient is φ = 753716625792.

The previous prime is 2320205424409. The next prime is 2320205424419. The reversal of 2320205424414 is 4144245020232.

It is an interprime number because it is at equal distance from previous prime (2320205424409) and next prime (2320205424419).

It is a super-2 number, since 2×23202054244142 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2320205424419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24436657 + ... + 24531420.

It is an arithmetic number, because the mean of its divisors is an integer number (148740536925).

Almost surely, 22320205424414 is an apocalyptic number.

2320205424414 is an abundant number, since it is smaller than the sum of its proper divisors (2439491757186).

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

2320205424414 is a wasteful number, since it uses less digits than its factorization.

2320205424414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48968284.

The product of its (nonzero) digits is 61440, while the sum is 33.

The spelling of 2320205424414 in words is "two trillion, three hundred twenty billion, two hundred five million, four hundred twenty-four thousand, four hundred fourteen".

Divisors: 1 2 3 6 53 106 149 159 298 318 447 894 7897 15794 23691 47382 48968077 97936154 146904231 293808462 2595308081 5190616162 7296243473 7785924243 14592486946 15571848486 21888730419 43777460838 386700904069 773401808138 1160102712207 2320205424414