Search a number
-
+
1390656833280 = 28345112138527
BaseRepresentation
bin10100001111001001100…
…110110100011100000000
311220221112021011202020000
4110033021212310130000
5140241031122131110
62542505310120000
7202320526021641
oct24171146643400
94827467152200
101390656833280
11496857589900
121a56281b0000
13a11a5023a60
144b4457c56c8
1526292c991c0
hex143c99b4700

1390656833280 has 1080 divisors, whose sum is σ = 5890937148096. Its totient is φ = 311159439360.

The previous prime is 1390656833243. The next prime is 1390656833281. The reversal of 1390656833280 is 823386560931.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1390656833281) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 163084377 + ... + 163092903.

Almost surely, 21390656833280 is an apocalyptic number.

1390656833280 is a gapful number since it is divisible by the number (10) 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 1390656833280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2945468574048).

1390656833280 is an abundant number, since it is smaller than the sum of its proper divisors (4500280314816).

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

1390656833280 is a wasteful number, since it uses less digits than its factorization.

1390656833280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8595 (or 8561 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 1390656833280 in words is "one trillion, three hundred ninety billion, six hundred fifty-six million, eight hundred thirty-three thousand, two hundred eighty".