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4234222131342 = 237279832196449
BaseRepresentation
bin111101100111011011010…
…011100101100010001110
3112222210021012221210011120
4331213123103211202032
51023333141331200332
613001101431101410
7614624654163600
oct75473323454216
915883235853146
104234222131342
1113927a6009645
12584754511866
13249393136c68
14108d1a4c3170
157521da5a32c
hex3d9db4e588e

4234222131342 has 96 divisors (see below), whose sum is σ = 10095938496000. Its totient is φ = 1180072438272.

The previous prime is 4234222131341. The next prime is 4234222131409. The reversal of 4234222131342 is 2431312224324.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4234222131341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 829534 + ... + 3025982.

It is an arithmetic number, because the mean of its divisors is an integer number (105166026000).

Almost surely, 24234222131342 is an apocalyptic number.

4234222131342 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 4234222131342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5047969248000).

4234222131342 is an abundant number, since it is smaller than the sum of its proper divisors (5861716364658).

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

4234222131342 is a wasteful number, since it uses less digits than its factorization.

4234222131342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2196630 (or 2196623 counting only the distinct ones).

The product of its digits is 55296, while the sum is 33.

Adding to 4234222131342 its reverse (2431312224324), we get a palindrome (6665534355666).

The spelling of 4234222131342 in words is "four trillion, two hundred thirty-four billion, two hundred twenty-two million, one hundred thirty-one thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 49 79 83 98 147 158 166 237 249 294 474 498 553 581 1106 1162 1659 1743 3318 3486 3871 4067 6557 7742 8134 11613 12201 13114 19671 23226 24402 39342 45899 91798 137697 275394 321293 642586 963879 1927758 2196449 4392898 6589347 13178694 15375143 30750286 46125429 92250858 107626001 173519471 182305267 215252002 322878003 347038942 364610534 520558413 546915801 645756006 1041116826 1093831602 1214636297 1276136869 2429272594 2552273738 3643908891 3828410607 7287817782 7656821214 8502454079 8932958083 14402116093 17004908158 17865916166 25507362237 26798874249 28804232186 43206348279 51014724474 53597748498 86412696558 100814812651 201629625302 302444437953 604888875906 705703688557 1411407377114 2117111065671 4234222131342