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4234423214322 = 2327712549185693
BaseRepresentation
bin111101100111100111010…
…010101010000011110010
3112222210210020022212011100
4331213213102222003302
51023334044320324242
613001133413025230
7614632645311420
oct75474722520362
915883706285140
104234423214322
111392899571224
125847ab925216
132493c59b0182
14108d390a8110
157523152a54c
hex3d9e74aa0f2

4234423214322 has 96 divisors (see below), whose sum is σ = 10637146540800. Its totient is φ = 1192320904320.

The previous prime is 4234423214297. The next prime is 4234423214323. The reversal of 4234423214322 is 2234123244324.

4234423214322 is a `hidden beast` number, since 4 + 2 + 3 + 4 + 4 + 2 + 321 + 4 + 322 = 666.

It is not an unprimeable number, because it can be changed into a prime (4234423214323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22710508 + ... + 22896200.

It is an arithmetic number, because the mean of its divisors is an integer number (110803609800).

Almost surely, 24234423214322 is an apocalyptic number.

4234423214322 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4234423214322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5318573270400).

4234423214322 is an abundant number, since it is smaller than the sum of its proper divisors (6402723326478).

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

4234423214322 is a wasteful number, since it uses less digits than its factorization.

4234423214322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188328 (or 188325 counting only the distinct ones).

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

Adding to 4234423214322 its reverse (2234123244324), we get a palindrome (6468546458646).

The spelling of 4234423214322 in words is "four trillion, two hundred thirty-four billion, four hundred twenty-three million, two hundred fourteen thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 71 126 142 213 426 497 639 994 1278 1491 2549 2982 4473 5098 7647 8946 15294 17843 22941 35686 45882 53529 107058 160587 180979 185693 321174 361958 371386 542937 557079 1085874 1114158 1266853 1299851 1628811 1671237 2533706 2599702 3257622 3342474 3800559 3899553 7601118 7799106 11401677 11698659 13184203 22803354 23397318 26368406 39552609 79105218 92289421 118657827 184578842 237315654 276868263 473331457 553736526 830604789 946662914 1419994371 1661209578 2839988742 3313320199 4259983113 6626640398 8519966226 9939960597 19879921194 29819881791 33606533447 59639763582 67213066894 100819600341 201639200682 235245734129 302458801023 470491468258 604917602046 705737202387 1411474404774 2117211607161 4234423214322