Search a number
-
+
1320974886000 = 2435371119612467
BaseRepresentation
bin10011001110010000001…
…111010010010001110000
311200021200000022001122210
4103032100033102101300
5133120324032323000
62450503020132120
7164302663160460
oct23162017222160
94607600261583
101320974886000
1146a249981520
1219401b997040
139774b7581a3
1447d15121ba0
1524565561350
hex133903d2470

1320974886000 has 1280 divisors, whose sum is σ = 5683087687680. Its totient is φ = 255674880000.

The previous prime is 1320974885999. The next prime is 1320974886001. The reversal of 1320974886000 is 6884790231.

It is an interprime number because it is at equal distance from previous prime (1320974885999) and next prime (1320974886001).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1320974886001) 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 255 ways as a sum of consecutive naturals, for example, 535456767 + ... + 535459233.

It is an arithmetic number, because the mean of its divisors is an integer number (4439912256).

Almost surely, 21320974886000 is an apocalyptic number.

1320974886000 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 1320974886000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2841543843840).

1320974886000 is an abundant number, since it is smaller than the sum of its proper divisors (4362112801680).

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

1320974886000 is a wasteful number, since it uses less digits than its factorization.

1320974886000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2591 (or 2575 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The spelling of 1320974886000 in words is "one trillion, three hundred twenty billion, nine hundred seventy-four million, eight hundred eighty-six thousand".