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1344622250664 = 2332711289247739
BaseRepresentation
bin10011100100010001101…
…110110100101010101000
311202112201000222122121200
4103210101232310222220
5134012241244010124
62505413321204200
7166100664356550
oct23442156645250
94675630878550
101344622250664
1147928422a600
1219871b330660
1399a49987964
14491199a6160
1524e9b5e7bc9
hex13911bb4aa8

1344622250664 has 288 divisors, whose sum is σ = 4626098568000. Its totient is φ = 345326952960.

The previous prime is 1344622250639. The next prime is 1344622250669. The reversal of 1344622250664 is 4660522264431.

It is a happy number.

1344622250664 is a `hidden beast` number, since 1 + 3 + 4 + 4 + 62 + 22 + 506 + 64 = 666.

It is not an unprimeable number, because it can be changed into a prime (1344622250669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5303707 + ... + 5551445.

It is an arithmetic number, because the mean of its divisors is an integer number (16062842250).

Almost surely, 21344622250664 is an apocalyptic number.

1344622250664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1344622250664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2313049284000).

1344622250664 is an abundant number, since it is smaller than the sum of its proper divisors (3281476317336).

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

1344622250664 is a wasteful number, since it uses less digits than its factorization.

1344622250664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247869 (or 247851 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 1344622250664 in words is "one trillion, three hundred forty-four billion, six hundred twenty-two million, two hundred fifty thousand, six hundred sixty-four".