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1334214323000 = 235313102631871
BaseRepresentation
bin10011011010100101010…
…111101110101100111000
311201112211200122010221022
4103122211113232230320
5133324432331314000
62500532443202012
7165252034424246
oct23324527565470
94645750563838
101334214323000
11474923225499
121966b5816308
1398a7b611690
144880d5b7796
1524a8ca0c585
hex136a55eeb38

1334214323000 has 64 divisors (see below), whose sum is σ = 3362220126720. Its totient is φ = 492632976000.

The previous prime is 1334214322943. The next prime is 1334214323009. The reversal of 1334214323000 is 3234124331.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1334214323009) by changing a digit.

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, 51302936 + ... + 51328935.

It is an arithmetic number, because the mean of its divisors is an integer number (52534689480).

Almost surely, 21334214323000 is an apocalyptic number.

1334214323000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1334214323000 is an abundant number, since it is smaller than the sum of its proper divisors (2028005803720).

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

1334214323000 is a wasteful number, since it uses less digits than its factorization.

1334214323000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102631905 (or 102631891 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 1334214323000 its reverse (3234124331), we get a palindrome (1337448447331).

The spelling of 1334214323000 in words is "one trillion, three hundred thirty-four billion, two hundred fourteen million, three hundred twenty-three thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 250 260 325 500 520 650 1000 1300 1625 2600 3250 6500 13000 102631871 205263742 410527484 513159355 821054968 1026318710 1334214323 2052637420 2565796775 2668428646 4105274840 5131593550 5336857292 6671071615 10263187100 10673714584 12828983875 13342143230 20526374200 25657967750 26684286460 33355358075 51315935500 53368572920 66710716150 102631871000 133421432300 166776790375 266842864600 333553580750 667107161500 1334214323000