Search a number
-
+
1396282366080 = 273257231917883
BaseRepresentation
bin10100010100011000111…
…010100001100010000000
311221111001022121102110200
4110110120322201202000
5140334041241203310
62545235424525200
7202610115200130
oct24243072414200
94844038542420
101396282366080
11499183aa3968
121a6738180800
13a189064aaa4
144b81a998ac0
15264c1ab39c0
hex14518ea1880

1396282366080 has 768 divisors, whose sum is σ = 5780745584640. Its totient is φ = 303637340160.

The previous prime is 1396282366069. The next prime is 1396282366081. The reversal of 1396282366080 is 806632826931.

1396282366080 is a `hidden beast` number, since 1 + 3 + 9 + 6 + 2 + 8 + 23 + 6 + 608 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (1396282366081) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 177121819 + ... + 177129701.

It is an arithmetic number, because the mean of its divisors is an integer number (7527012480).

Almost surely, 21396282366080 is an apocalyptic number.

1396282366080 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 1396282366080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2890372792320).

1396282366080 is an abundant number, since it is smaller than the sum of its proper divisors (4384463218560).

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

1396282366080 is a wasteful number, since it uses less digits than its factorization.

1396282366080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8129 (or 8114 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 1396282366080 in words is "one trillion, three hundred ninety-six billion, two hundred eighty-two million, three hundred sixty-six thousand, eighty".