Search a number
-
+
1563214055040 = 2732511233134603
BaseRepresentation
bin10110101111110110110…
…100011000011010000000
312112102221002000212010100
4112233312310120122000
5201102430244230130
63154044114202400
7220636621142061
oct26576664303200
95472832025110
101563214055040
11552a56643590
12212b65283400
13b45449c37c1
1455934d26568
152a9e1d74c60
hex16bf6d18680

1563214055040 has 768 divisors, whose sum is σ = 6343129128960. Its totient is φ = 350781235200.

The previous prime is 1563214055033. The next prime is 1563214055101. The reversal of 1563214055040 is 405504123651.

1563214055040 is a `hidden beast` number, since 1 + 5 + 6 + 3 + 2 + 140 + 5 + 504 + 0 = 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 = 1563214054986 and 1563214055004.

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, 45158379 + ... + 45192981.

It is an arithmetic number, because the mean of its divisors is an integer number (8259282720).

Almost surely, 21563214055040 is an apocalyptic number.

1563214055040 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 1563214055040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3171564564480).

1563214055040 is an abundant number, since it is smaller than the sum of its proper divisors (4779915073920).

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

1563214055040 is a wasteful number, since it uses less digits than its factorization.

1563214055040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34693 (or 34678 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 1563214055040 its reverse (405504123651), we get a palindrome (1968718178691).

The spelling of 1563214055040 in words is "one trillion, five hundred sixty-three billion, two hundred fourteen million, fifty-five thousand, forty".