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342140040104202 = 2322347108716176187
BaseRepresentation
bin100110111001011001010111…
…1100011011100100100001010
31122212102021020122212211111200
41031302302233203130210022
5324321110300231313302
63211400544203005030
7132031542100352064
oct11562625743344412
91585367218784450
10342140040104202
119a01a85a08038a
1232459047209776
13118ba88a1c7a12
14606b94846c734
152984caaa4c81c
hex1372caf8dc90a

342140040104202 has 96 divisors (see below), whose sum is σ = 790718986616832. Its totient is φ = 106668876311712.

The previous prime is 342140040104189. The next prime is 342140040104207. The reversal of 342140040104202 is 202401040041243.

342140040104202 is a `hidden beast` number, since 3 + 4 + 2 + 1 + 400 + 40 + 10 + 4 + 202 = 666.

It is not an unprimeable number, because it can be changed into a prime (342140040104207) 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, 13062753 + ... + 29238939.

It is an arithmetic number, because the mean of its divisors is an integer number (8236656110592).

Almost surely, 2342140040104202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342140040104202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395359493308416).

342140040104202 is an abundant number, since it is smaller than the sum of its proper divisors (448578946512630).

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

342140040104202 is a wasteful number, since it uses less digits than its factorization.

342140040104202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16177352 (or 16177349 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 342140040104202 its reverse (202401040041243), we get a palindrome (544541080145445).

The spelling of 342140040104202 in words is "three hundred forty-two trillion, one hundred forty billion, forty million, one hundred four thousand, two hundred two".

Divisors: 1 2 3 6 9 18 23 46 47 69 94 138 141 207 282 414 423 846 1081 1087 2162 2174 3243 3261 6486 6522 9729 9783 19458 19566 25001 50002 51089 75003 102178 150006 153267 225009 306534 450018 459801 919602 1175047 2350094 3525141 7050282 10575423 16176187 21150846 32352374 48528561 97057122 145585683 291171366 372052301 744104602 760280789 1116156903 1520561578 2232313806 2280842367 3348470709 4561684734 6696941418 6842527101 13685054202 17486458147 17583515269 34972916294 35167030538 52459374441 52750545807 104918748882 105501091614 157378123323 158251637421 314756246646 316503274842 404420851187 808841702374 826425217643 1213262553561 1652850435286 2426525107122 2479275652929 3639787660683 4958551305858 7279575321366 7437826958787 14875653917574 19007780005789 38015560011578 57023340017367 114046680034734 171070020052101 342140040104202