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334131414403986 = 23379116176742213
BaseRepresentation
bin100101111111001000000100…
…0010000111000101110010010
31121211001122120202201110102000
41023332100020100320232102
5322243402114041411421
63142345504104134430
7130244124635163513
oct11376201020705622
91554048522643360
10334131414403986
1197512378708991
1231584aa6767416
13114595c3567044
145c720923aca0a
1528967d16e4226
hex12fe408438b92

334131414403986 has 64 divisors (see below), whose sum is σ = 751978005619200. Its totient is φ = 109957818567168.

The previous prime is 334131414403961. The next prime is 334131414403993. The reversal of 334131414403986 is 689304414131433.

334131414403986 is a `hidden beast` number, since 3 + 3 + 4 + 1 + 3 + 141 + 4 + 403 + 98 + 6 = 666.

It is a super-2 number, since 2×3341314144039862 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46187016 + ... + 52929228.

It is an arithmetic number, because the mean of its divisors is an integer number (11749656337800).

Almost surely, 2334131414403986 is an apocalyptic number.

334131414403986 is an abundant number, since it is smaller than the sum of its proper divisors (417846591215214).

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

334131414403986 is a wasteful number, since it uses less digits than its factorization.

334131414403986 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6753920 (or 6753914 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 334131414403986 in words is "three hundred thirty-four trillion, one hundred thirty-one billion, four hundred fourteen million, four hundred three thousand, nine hundred eighty-six".

Divisors: 1 2 3 6 9 18 27 54 79 158 237 474 711 1422 2133 4266 11617 23234 34851 69702 104553 209106 313659 627318 917743 1835486 2753229 5506458 6742213 8259687 13484426 16519374 20226639 24779061 40453278 49558122 60679917 121359834 182039751 364079502 532634827 1065269654 1597904481 3195808962 4793713443 9587426886 14381140329 28762280658 78324288421 156648576842 234972865263 469945730526 704918595789 1409837191578 2114755787367 4229511574734 6187618785259 12375237570518 18562856355777 37125712711554 55688569067331 111377138134662 167065707201993 334131414403986