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1214001421344 = 253219122069543
BaseRepresentation
bin10001101010101000000…
…111111001110000100000
311022001112211212000021100
4101222220013321300200
5124342233330440334
62325412103354400
7153465041551305
oct21525007716040
94261484760240
101214001421344
11428945176198
12177346752a00
138a6312a37ca
1442a87c910ac
15218a3eeec99
hex11aa81f9c20

1214001421344 has 72 divisors (see below), whose sum is σ = 3470391654912. Its totient is φ = 402548446080.

The previous prime is 1214001421327. The next prime is 1214001421351. The reversal of 1214001421344 is 4431241004121.

1214001421344 is a `hidden beast` number, since 1 + 2 + 1 + 400 + 1 + 4 + 213 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10979764 + ... + 11089779.

It is an arithmetic number, because the mean of its divisors is an integer number (48199884096).

Almost surely, 21214001421344 is an apocalyptic number.

It is an amenable number.

1214001421344 is an abundant number, since it is smaller than the sum of its proper divisors (2256390233568).

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

1214001421344 is a wasteful number, since it uses less digits than its factorization.

1214001421344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22069750 (or 22069739 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 1214001421344 its reverse (4431241004121), we get a palindrome (5645242425465).

The spelling of 1214001421344 in words is "one trillion, two hundred fourteen billion, one million, four hundred twenty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 191 288 382 573 764 1146 1528 1719 2292 3056 3438 4584 6112 6876 9168 13752 18336 27504 55008 22069543 44139086 66208629 88278172 132417258 176556344 198625887 264834516 353112688 397251774 529669032 706225376 794503548 1059338064 1589007096 2118676128 3178014192 4215282713 6356028384 8430565426 12645848139 16861130852 25291696278 33722261704 37937544417 50583392556 67444523408 75875088834 101166785112 134889046816 151750177668 202333570224 303500355336 404667140448 607000710672 1214001421344