Search a number
-
+
1244350378305 = 325139198936911
BaseRepresentation
bin10010000110111001000…
…011111111000101000001
311101221212220202202121100
4102012321003333011001
5130341412144101210
62351351403045013
7155621106461346
oct22067103770501
94357786682540
101244350378305
1143a7a9391801
121811b6510769
1390459a480c8
14443267b47cd
152257d5a85c0
hex121b90ff141

1244350378305 has 24 divisors (see below), whose sum is σ = 2172391079040. Its totient is φ = 658879045920.

The previous prime is 1244350378301. The next prime is 1244350378321. The reversal of 1244350378305 is 5038730534421.

1244350378305 is a `hidden beast` number, since 1 + 2 + 4 + 43 + 503 + 78 + 30 + 5 = 666.

It is not a de Polignac number, because 1244350378305 - 22 = 1244350378301 is a prime.

It is a super-2 number, since 2×12443503783052 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1244350378301) 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 23 ways as a sum of consecutive naturals, for example, 99462201 + ... + 99474710.

It is an arithmetic number, because the mean of its divisors is an integer number (90516294960).

Almost surely, 21244350378305 is an apocalyptic number.

1244350378305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1244350378305 is a deficient number, since it is larger than the sum of its proper divisors (928040700735).

1244350378305 is a wasteful number, since it uses less digits than its factorization.

1244350378305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198937061 (or 198937058 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 1244350378305 in words is "one trillion, two hundred forty-four billion, three hundred fifty million, three hundred seventy-eight thousand, three hundred five".

Divisors: 1 3 5 9 15 45 139 417 695 1251 2085 6255 198936911 596810733 994684555 1790432199 2984053665 8952160995 27652230629 82956691887 138261153145 248870075661 414783459435 1244350378305