Search a number
-
+
1424965530240 = 2735575324697
BaseRepresentation
bin10100101111000110100…
…100000111001010000000
312001020002022001010200000
4110233012210013022000
5141321312133431430
63010341540400000
7204643655105340
oct24570644071200
95036068033600
101424965530240
114aa36299070a
121b02020a6000
13a44b1c61a85
144cd7c17cd20
15270eecc3e60
hex14bc6907280

1424965530240 has 768 divisors, whose sum is σ = 5942077989120. Its totient is φ = 319548063744.

The previous prime is 1424965530179. The next prime is 1424965530347. The reversal of 1424965530240 is 420355694241.

1424965530240 is a `hidden beast` number, since 1 + 4 + 2 + 4 + 96 + 5 + 530 + 24 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 57685572 + ... + 57710268.

It is an arithmetic number, because the mean of its divisors is an integer number (7737080715).

Almost surely, 21424965530240 is an apocalyptic number.

1424965530240 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 1424965530240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2971038994560).

1424965530240 is an abundant number, since it is smaller than the sum of its proper divisors (4517112458880).

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

1424965530240 is an equidigital number, since it uses as much as digits as its factorization.

1424965530240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24791 (or 24767 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 1424965530240 in words is "one trillion, four hundred twenty-four billion, nine hundred sixty-five million, five hundred thirty thousand, two hundred forty".