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342131332011414 = 2311112336307127139
BaseRepresentation
bin100110111001010101010100…
…0100000101101010110010110
31122212101102202210001212220120
41031302222220200231112112
5324320434431443331124
63211352544130212410
7132031113230653341
oct11562525040552626
91585342683055816
10342131332011414
119a0170a0636390
1232457416a24106
13118b9b00070aaa
14606b35db21458
15298494b2d1d79
hex1372aa882d596

342131332011414 has 64 divisors (see below), whose sum is σ = 747159524766720. Its totient is φ = 103580172796320.

The previous prime is 342131332011401. The next prime is 342131332011421. The reversal of 342131332011414 is 414110233131243.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2690938657 + ... + 2691065795.

It is an arithmetic number, because the mean of its divisors is an integer number (11674367574480).

Almost surely, 2342131332011414 is an apocalyptic number.

342131332011414 is an abundant number, since it is smaller than the sum of its proper divisors (405028192755306).

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

342131332011414 is a wasteful number, since it uses less digits than its factorization.

342131332011414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164585.

The product of its (nonzero) digits is 20736, while the sum is 33.

Adding to 342131332011414 its reverse (414110233131243), we get a palindrome (756241565142657).

The spelling of 342131332011414 in words is "three hundred forty-two trillion, one hundred thirty-one billion, three hundred thirty-two million, eleven thousand, four hundred fourteen".

Divisors: 1 2 3 6 11 22 33 66 1123 2246 3369 6738 12353 24706 36307 37059 72614 74118 108921 127139 217842 254278 381417 399377 762834 798754 1198131 1398529 2396262 2797058 4195587 8391174 40772761 81545522 122318283 142777097 244636566 285554194 428331291 448500371 856662582 897000742 1345501113 1570548067 2691002226 3141096134 4616035673 4711644201 9232071346 9423288402 13848107019 27696214038 50776392403 101552784806 152329177209 304658354418 5183808060779 10367616121558 15551424182337 31102848364674 57021888668569 114043777337138 171065666005707 342131332011414