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3221342201142 = 23213131263399571
BaseRepresentation
bin101110111000000110111…
…101010010010100110110
3102101221211212200010000200
4232320012331102110312
5410234302100414032
610503510355021330
7451506601631622
oct56700675222466
912357755603020
103221342201142
11103218876853a
12440398b9a846
131a4a04619360
14b1cb1648182
1558bdb6ad47c
hex2ee06f52536

3221342201142 has 96 divisors (see below), whose sum is σ = 7602659640576. Its totient is φ = 979873502400.

The previous prime is 3221342201141. The next prime is 3221342201149. The reversal of 3221342201142 is 2411022431223.

3221342201142 is a `hidden beast` number, since 3 + 221 + 3 + 422 + 0 + 1 + 14 + 2 = 666.

It is a super-2 number, since 2×32213422011422 (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 (3221342201141) 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, 7862217 + ... + 8261787.

It is an arithmetic number, because the mean of its divisors is an integer number (79194371256).

Almost surely, 23221342201142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3221342201142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3801329820288).

3221342201142 is an abundant number, since it is smaller than the sum of its proper divisors (4381317439434).

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

3221342201142 is a wasteful number, since it uses less digits than its factorization.

3221342201142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399986 (or 399983 counting only the distinct ones).

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

Adding to 3221342201142 its reverse (2411022431223), we get a palindrome (5632364632365).

The spelling of 3221342201142 in words is "three trillion, two hundred twenty-one billion, three hundred forty-two million, two hundred one thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 131 234 262 263 393 526 786 789 1179 1578 1703 2358 2367 3406 3419 4734 5109 6838 10218 10257 15327 20514 30654 30771 34453 61542 68906 103359 206718 310077 399571 447889 620154 799142 895778 1198713 1343667 2397426 2687334 3596139 4031001 5194423 7192278 8062002 10388846 15583269 31166538 46749807 52343801 93499614 104687602 105087173 157031403 210174346 314062806 315261519 471094209 630523038 680469413 942188418 945784557 1360938826 1366133249 1891569114 2041408239 2732266498 4082816478 4098399747 6124224717 8196799494 12248449434 12295199241 13766419663 24590398482 27532839326 41299258989 82598517978 123897776967 178963455619 247795553934 357926911238 536890366857 1073780733714 1610671100571 3221342201142