Search a number
-
+
1410542108640 = 25335797747743
BaseRepresentation
bin10100100001101010110…
…111000111111111100000
311222211212002211101212000
4110201222313013333200
5141102242234434030
62555554420404000
7203623356045450
oct24415267077740
94884762741760
101410542108640
114a423127a575
121a9457846600
13a3023a00992
144c3b0765d60
1526a58902860
hex1486adc7fe0

1410542108640 has 384 divisors, whose sum is σ = 5648061726720. Its totient is φ = 322072879104.

The previous prime is 1410542108629. The next prime is 1410542108659. The reversal of 1410542108640 is 468012450141.

1410542108640 is a `hidden beast` number, since 1 + 4 + 1 + 0 + 5 + 4 + 2 + 1 + 0 + 8 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1410542108595 and 1410542108604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29520609 + ... + 29568351.

It is an arithmetic number, because the mean of its divisors is an integer number (14708494080).

Almost surely, 21410542108640 is an apocalyptic number.

1410542108640 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 1410542108640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2824030863360).

1410542108640 is an abundant number, since it is smaller than the sum of its proper divisors (4237519618080).

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

1410542108640 is a wasteful number, since it uses less digits than its factorization.

1410542108640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48751 (or 48737 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

Adding to 1410542108640 its reverse (468012450141), we get a palindrome (1878554558781).

The spelling of 1410542108640 in words is "one trillion, four hundred ten billion, five hundred forty-two million, one hundred eight thousand, six hundred forty".