Search a number
-
+
4224143010321 = 331313191867141
BaseRepresentation
bin111101011110000010100…
…010110010101000010001
3112221211020210022101102000
4331132002202302220101
51023202021102312241
612552313340344213
7614120126106243
oct75360242625021
915854223271360
104224143010321
1113894a3673863
12582800b45069
13248447c36520
14108641a46093
1574d2dc6deb6
hex3d7828b2a11

4224143010321 has 32 divisors (see below), whose sum is σ = 6790819136640. Its totient is φ = 2579629291200.

The previous prime is 4224143010301. The next prime is 4224143010377. The reversal of 4224143010321 is 1230103414224.

4224143010321 is a `hidden beast` number, since 4 + 2 + 24 + 14 + 301 + 0 + 321 = 666.

4224143010321 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4224143010321 - 27 = 4224143010193 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4224143010301) 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 31 ways as a sum of consecutive naturals, for example, 45887590 + ... + 45979551.

It is an arithmetic number, because the mean of its divisors is an integer number (212213098020).

Almost surely, 24224143010321 is an apocalyptic number.

It is an amenable number.

4224143010321 is a deficient number, since it is larger than the sum of its proper divisors (2566676126319).

4224143010321 is a wasteful number, since it uses less digits than its factorization.

4224143010321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91867294 (or 91867288 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 4224143010321 its reverse (1230103414224), we get a palindrome (5454246424545).

The spelling of 4224143010321 in words is "four trillion, two hundred twenty-four billion, one hundred forty-three million, ten thousand, three hundred twenty-one".

Divisors: 1 3 9 13 27 39 117 131 351 393 1179 1703 3537 5109 15327 45981 91867141 275601423 826804269 1194272833 2480412807 3582818499 10748455497 12034595471 32245366491 36103786413 108311359239 156449741123 324934077717 469349223369 1408047670107 4224143010321