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340300423411104 = 25313367742988069
BaseRepresentation
bin100110101100000000101110…
…1110110101011010110100000
31122121220101212121112010202110
41031120001131312223112200
5324100440231343123404
63203431504544515320
7131451615504435042
oct11530013566532640
91577811777463673
10340300423411104
1199480665446922
123220060331bb40
13117b62664486a0
1460068b238da92
152951edcec4b89
hex135805ddab5a0

340300423411104 has 96 divisors (see below), whose sum is σ = 964624383233280. Its totient is φ = 104422515028992.

The previous prime is 340300423411079. The next prime is 340300423411211. The reversal of 340300423411104 is 401114324003043.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 371036019 + ... + 371952050.

It is an arithmetic number, because the mean of its divisors is an integer number (10048170658680).

Almost surely, 2340300423411104 is an apocalyptic number.

It is an amenable number.

340300423411104 is an abundant number, since it is smaller than the sum of its proper divisors (624323959822176).

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

340300423411104 is a wasteful number, since it uses less digits than its factorization.

340300423411104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742988462 (or 742988454 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 340300423411104 its reverse (401114324003043), we get a palindrome (741414747414147).

The spelling of 340300423411104 in words is "three hundred forty trillion, three hundred billion, four hundred twenty-three million, four hundred eleven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 367 416 624 734 1101 1248 1468 2202 2936 4404 4771 5872 8808 9542 11744 14313 17616 19084 28626 35232 38168 57252 76336 114504 152672 229008 458016 742988069 1485976138 2228964207 2971952276 4457928414 5943904552 8915856828 9658844897 11887809104 17831713656 19317689794 23775618208 28976534691 35663427312 38635379588 57953069382 71326854624 77270759176 115906138764 154541518352 231812277528 272676621323 309083036704 463624555056 545353242646 818029863969 927249110112 1090706485292 1636059727938 2181412970584 3272119455876 3544796077199 4362825941168 6544238911752 7089592154398 8725651882336 10634388231597 13088477823504 14179184308796 21268776463194 26176955647008 28358368617592 42537552926388 56716737235184 85075105852776 113433474470368 170150211705552 340300423411104