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342121423330401 = 311132938217196941
BaseRepresentation
bin100110111001010000101100…
…1111010000101110001100001
31122212100111012020010201212220
41031302201121322011301201
5324320304133333033101
63211344225004541253
7132030312542366451
oct11562413172056141
91585314166121786
10342121423330401
119a012976423710
1232455510551829
13118b8bb1277a30
14606aa9db6dd61
15298456b461636
hex1372859e85c61

342121423330401 has 64 divisors (see below), whose sum is σ = 554535320451840. Its totient is φ = 184748328576000.

The previous prime is 342121423330397. The next prime is 342121423330411. The reversal of 342121423330401 is 104033324121243.

It is not a de Polignac number, because 342121423330401 - 22 = 342121423330397 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (342121423330411) 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 63 ways as a sum of consecutive naturals, for example, 43938591 + ... + 51135531.

It is an arithmetic number, because the mean of its divisors is an integer number (8664614382060).

Almost surely, 2342121423330401 is an apocalyptic number.

It is an amenable number.

342121423330401 is a deficient number, since it is larger than the sum of its proper divisors (212413897121439).

342121423330401 is a wasteful number, since it uses less digits than its factorization.

342121423330401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7200818.

The product of its (nonzero) digits is 41472, while the sum is 33.

Adding to 342121423330401 its reverse (104033324121243), we get a palindrome (446154747451644).

The spelling of 342121423330401 in words is "three hundred forty-two trillion, one hundred twenty-one billion, four hundred twenty-three million, three hundred thirty thousand, four hundred one".

Divisors: 1 3 11 13 29 33 39 87 143 319 377 429 957 1131 3821 4147 11463 12441 42031 49673 110809 126093 149019 332427 546403 1218899 1440517 1639209 3656697 4321551 7196941 15845687 21590823 47537061 79166351 93560233 208711289 237499053 280680699 626133867 1029162563 2295824179 2713246757 3087487689 6887472537 8139740271 27499511561 29845714327 82498534683 89537142981 302494627171 357493650293 797485835269 907483881513 1072480950879 2392457505807 3932430153223 8772344187959 10367315858497 11797290459669 26317032563877 31101947575491 114040474443467 342121423330401