Search a number
-
+
1452300135000 = 2335411132937631
BaseRepresentation
bin10101001000100011110…
…101010110101001011000
312010211122021220221010220
4111020203311112221120
5142243302313310000
63031102200040040
7206632231315521
oct25104365265130
95124567827126
101452300135000
1150aa0a623860
121b5570463020
13a6c4a068310
1450412601848
1527b9e9011a0
hex15223d56a58

1452300135000 has 1280 divisors, whose sum is σ = 5671964390400. Its totient is φ = 304819200000.

The previous prime is 1452300134983. The next prime is 1452300135061. The reversal of 1452300135000 is 5310032541.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 319 ways as a sum of consecutive naturals, for example, 2301584685 + ... + 2301585315.

It is an arithmetic number, because the mean of its divisors is an integer number (4431222180).

Almost surely, 21452300135000 is an apocalyptic number.

1452300135000 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 1452300135000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2835982195200).

1452300135000 is an abundant number, since it is smaller than the sum of its proper divisors (4219664255400).

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

1452300135000 is a wasteful number, since it uses less digits than its factorization.

1452300135000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

Adding to 1452300135000 its reverse (5310032541), we get a palindrome (1457610167541).

The spelling of 1452300135000 in words is "one trillion, four hundred fifty-two billion, three hundred million, one hundred thirty-five thousand".