Search a number
-
+
1449404504640 = 263353715492927
BaseRepresentation
bin10101000101110111001…
…111011001101001000000
312010120011111021200001000
4111011313033121221000
5142221340023122030
63025503000412000
7206500411004511
oct25056717315100
95116144250030
101449404504640
11509764069914
121b4aa2777000
13a68a8197481
1450219c06a08
1527a805c6860
hex151773d9a40

1449404504640 has 448 divisors, whose sum is σ = 5256556416000. Its totient is φ = 375690534912.

The previous prime is 1449404504599. The next prime is 1449404504641. The reversal of 1449404504640 is 464054049441.

It is a happy number.

1449404504640 is a `hidden beast` number, since 1 + 4 + 49 + 40 + 4 + 504 + 64 + 0 = 666.

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 (1449404504641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 495182857 + ... + 495185783.

Almost surely, 21449404504640 is an apocalyptic number.

1449404504640 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 1449404504640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2628278208000).

1449404504640 is an abundant number, since it is smaller than the sum of its proper divisors (3807151911360).

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

1449404504640 is a wasteful number, since it uses less digits than its factorization.

1449404504640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4539 (or 4523 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 1449404504640 in words is "one trillion, four hundred forty-nine billion, four hundred four million, five hundred four thousand, six hundred forty".