Search a number
-
+
1390485882240 = 273357133723899
BaseRepresentation
bin10100001110111111011…
…010101100010110000000
311220221002100111112111000
4110032333122230112000
5140240203341212430
62542440322052000
7202313351662260
oct24167732542600
94827070445430
101390485882240
1149677a037854
121a559aaaa000
13a117879a8b0
144b42ac057a0
1526282c7be60
hex143bf6ac580

1390485882240 has 1024 divisors, whose sum is σ = 6225166080000. Its totient is φ = 285436182528.

The previous prime is 1390485882239. The next prime is 1390485882259. The reversal of 1390485882240 is 422885840931.

1390485882240 is a `hidden beast` number, since 1 + 39 + 0 + 4 + 8 + 588 + 2 + 24 + 0 = 666.

It is a super-2 number, since 2×13904858822402 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 58169811 + ... + 58193709.

It is an arithmetic number, because the mean of its divisors is an integer number (6079263750).

Almost surely, 21390485882240 is an apocalyptic number.

1390485882240 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 1390485882240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3112583040000).

1390485882240 is an abundant number, since it is smaller than the sum of its proper divisors (4834680197760).

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

1390485882240 is a wasteful number, since it uses less digits than its factorization.

1390485882240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23984 (or 23966 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 1390485882240 in words is "one trillion, three hundred ninety billion, four hundred eighty-five million, eight hundred eighty-two thousand, two hundred forty".