Search a number
-
+
1390388621040 = 2432531113551269
BaseRepresentation
bin10100001110111001100…
…111101010111011110000
311220220211120111011012100
4110032321213222323300
5140240003441333130
62542422525300400
7202311061165026
oct24167147527360
94826746434170
101390388621040
1149672a146aa1
121a5572404700
13a11615a58a3
144b41bd28716
1526279468c60
hex143b99eaef0

1390388621040 has 240 divisors, whose sum is σ = 4862677697280. Its totient is φ = 355634012160.

The previous prime is 1390388620909. The next prime is 1390388621059. The reversal of 1390388621040 is 401268830931.

1390388621040 is a `hidden beast` number, since 1 + 390 + 3 + 8 + 8 + 6 + 210 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2246526 + ... + 2797794.

It is an arithmetic number, because the mean of its divisors is an integer number (20261157072).

Almost surely, 21390388621040 is an apocalyptic number.

1390388621040 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 1390388621040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2431338848640).

1390388621040 is an abundant number, since it is smaller than the sum of its proper divisors (3472289076240).

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

1390388621040 is a wasteful number, since it uses less digits than its factorization.

1390388621040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551432 (or 551423 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 1390388621040 in words is "one trillion, three hundred ninety billion, three hundred eighty-eight million, six hundred twenty-one thousand, forty".