Search a number
-
+
1449828990720 = 283251131369071
BaseRepresentation
bin10101000110010000100…
…010101011111100000000
312010121021002000210110200
4111012100202223330000
5142223222210200340
63030013042525200
7206514054041325
oct25062042537400
95117232023420
101449828990720
11509961739560
121b4ba0966800
13a6945100076
145025a342b4c
1527aa79c5330
hex151908abf00

1449828990720 has 432 divisors, whose sum is σ = 5648821161984. Its totient is φ = 340134912000.

The previous prime is 1449828990719. The next prime is 1449828990749. The reversal of 1449828990720 is 270998289441.

1449828990720 is a `hidden beast` number, since 1 + 449 + 8 + 2 + 89 + 90 + 7 + 20 = 666.

It is a super-2 number, since 2×14498289907202 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3743785 + ... + 4112855.

It is an arithmetic number, because the mean of its divisors is an integer number (13075974912).

Almost surely, 21449828990720 is an apocalyptic number.

1449828990720 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 1449828990720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2824410580992).

1449828990720 is an abundant number, since it is smaller than the sum of its proper divisors (4198992171264).

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

1449828990720 is a wasteful number, since it uses less digits than its factorization.

1449828990720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369140 (or 369123 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 1449828990720 in words is "one trillion, four hundred forty-nine billion, eight hundred twenty-eight million, nine hundred ninety thousand, seven hundred twenty".