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422031412141304 = 23759641891989959
BaseRepresentation
bin101111111110101011101100…
…0011001111001110011111000
32001100021210211202001120211112
41133331113120121321303320
5420304030313002010204
64053330315413215452
7154615522551162230
oct13775273031716370
92040253752046745
10422031412141304
111125215758aa179
123b400622031588
1315164511b9aac4
147630602152cc0
1533bd013a5d26e
hex17fd5d8679cf8

422031412141304 has 64 divisors (see below), whose sum is σ = 919695833280000. Its totient is φ = 177802142352768.

The previous prime is 422031412141303. The next prime is 422031412141327. The reversal of 422031412141304 is 403141214130224.

It is a super-3 number, since 3×4220314121413043 (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422031412141301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 211085477 + ... + 213075435.

It is an arithmetic number, because the mean of its divisors is an integer number (14370247395000).

Almost surely, 2422031412141304 is an apocalyptic number.

It is an amenable number.

422031412141304 is an abundant number, since it is smaller than the sum of its proper divisors (497664421138696).

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

422031412141304 is a wasteful number, since it uses less digits than its factorization.

422031412141304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2054220 (or 2054216 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 422031412141304 its reverse (403141214130224), we get a palindrome (825172626271528).

The spelling of 422031412141304 in words is "four hundred twenty-two trillion, thirty-one billion, four hundred twelve million, one hundred forty-one thousand, three hundred four".

Divisors: 1 2 4 7 8 14 28 56 59 118 236 413 472 826 1652 3304 64189 128378 256756 449323 513512 898646 1797292 1989959 3594584 3787151 3979918 7574302 7959836 13929713 15148604 15919672 26510057 27859426 30297208 53020114 55718852 106040228 111437704 117407581 212080456 234815162 469630324 821853067 939260648 1643706134 3287412268 6574824536 127733478251 255466956502 510933913004 894134347757 1021867826008 1788268695514 3576537391028 7153074782056 7536275216809 15072550433618 30145100867236 52753926517663 60290201734472 105507853035326 211015706070652 422031412141304