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1342436566656 = 27331112771889
BaseRepresentation
bin10011100010001111011…
…101000110011010000000
311202100001201020101211010
4103202033131012122000
5133443302230113111
62504412402320520
7165662554354143
oct23421735063200
94670051211733
101342436566656
11478362498889
1219820b359140
139978bbc9503
1448d8d5b405a
1524dbe7a7aa6
hex1388f746680

1342436566656 has 64 divisors (see below), whose sum is σ = 3680874489600. Its totient is φ = 433044049920.

The previous prime is 1342436566651. The next prime is 1342436566661. The reversal of 1342436566656 is 6566656342431.

It is an interprime number because it is at equal distance from previous prime (1342436566651) and next prime (1342436566661).

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 1342436566596 and 1342436566605.

It is not an unprimeable number, because it can be changed into a prime (1342436566651) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56374041 + ... + 56397848.

It is an arithmetic number, because the mean of its divisors is an integer number (57513663900).

Almost surely, 21342436566656 is an apocalyptic number.

1342436566656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1342436566656 is an abundant number, since it is smaller than the sum of its proper divisors (2338437922944).

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

1342436566656 is a wasteful number, since it uses less digits than its factorization.

1342436566656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112771937 (or 112771925 counting only the distinct ones).

The product of its digits is 55987200, while the sum is 57.

The spelling of 1342436566656 in words is "one trillion, three hundred forty-two billion, four hundred thirty-six million, five hundred sixty-six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 372 384 496 744 992 1488 1984 2976 3968 5952 11904 112771889 225543778 338315667 451087556 676631334 902175112 1353262668 1804350224 2706525336 3495928559 3608700448 5413050672 6991857118 7217400896 10487785677 10826101344 13983714236 14434801792 20975571354 21652202688 27967428472 41951142708 43304405376 55934856944 83902285416 111869713888 167804570832 223739427776 335609141664 447478855552 671218283328 1342436566656