Search a number
-
+
4234133044422 = 234713531042837
BaseRepresentation
bin111101100111010101111…
…111101111110011000110
3112222210001000022200220000
4331213111333233303012
51023333001024410142
613001044525422130
7614622523023141
oct75472577576306
915883030280800
104234133044422
11139275a7a1296
1258472a70a946
1324937a8447c8
14108d0c733058
1575215d0e14c
hex3d9d5fefcc6

4234133044422 has 80 divisors (see below), whose sum is σ = 9648487344672. Its totient is φ = 1387555868160.

The previous prime is 4234133044397. The next prime is 4234133044447. The reversal of 4234133044422 is 2244403314324.

4234133044422 is a `hidden beast` number, since 4 + 2 + 341 + 3 + 304 + 4 + 4 + 2 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (4234133044397) and next prime (4234133044447).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3538788 + ... + 4581624.

Almost surely, 24234133044422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4234133044422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4824243672336).

4234133044422 is an abundant number, since it is smaller than the sum of its proper divisors (5414354300250).

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

4234133044422 is a wasteful number, since it uses less digits than its factorization.

4234133044422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1043275 (or 1043266 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 4234133044422 its reverse (2244403314324), we get a palindrome (6478536358746).

The spelling of 4234133044422 in words is "four trillion, two hundred thirty-four billion, one hundred thirty-three million, forty-four thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 71 81 142 162 213 353 426 639 706 1059 1278 1917 2118 3177 3834 5751 6354 9531 11502 19062 25063 28593 50126 57186 75189 150378 225567 451134 676701 1042837 1353402 2030103 2085674 3128511 4060206 6257022 9385533 18771066 28156599 56313198 74041427 84469797 148082854 168939594 222124281 368121461 444248562 666372843 736242922 1104364383 1332745686 1999118529 2208728766 3313093149 3998237058 5997355587 6626186298 9939279447 11994711174 19878558894 26136623731 29817838341 52273247462 59635676682 78409871193 156819742386 235229613579 470459227158 705688840737 1411377681474 2117066522211 4234133044422