Search a number
-
+
10449354240000 = 21233541329401
BaseRepresentation
bin1001100000001110111000…
…0011000011000000000000
31100222221121110111210021000
42120003232003003000000
52332200234141140000
634120211141532000
72125640511353664
oct230035603030000
940887543453230
1010449354240000
113369601066415
1212091a3714000
135aa4a6808470
14281a73d668a4
15131c29675000
hex980ee0c3000

10449354240000 has 2080 divisors, whose sum is σ = 43203934065600. Its totient is φ = 2477260800000.

The previous prime is 10449354239999. The next prime is 10449354240001. The reversal of 10449354240000 is 4245394401.

10449354240000 is a `hidden beast` number, since 104 + 4 + 9 + 3 + 542 + 4 + 0 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10449354239999) and next prime (10449354240001).

It is a tau number, because it is divible by the number of its divisors (2080).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10449354240001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 26058239800 + ... + 26058240200.

Almost surely, 210449354240000 is an apocalyptic number.

10449354240000 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 10449354240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21601967032800).

10449354240000 is an abundant number, since it is smaller than the sum of its proper divisors (32754579825600).

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

10449354240000 is an equidigital number, since it uses as much as digits as its factorization.

10449354240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 10449354240000 in words is "ten trillion, four hundred forty-nine billion, three hundred fifty-four million, two hundred forty thousand".