Search a number
-
+
1415051040 = 253513415531
BaseRepresentation
bin101010001010111…
…1111011100100000
310122121200001002210
41110111333130200
510344223113130
6352225242120
750031510144
oct12425773440
93577601083
101415051040
11666839877
12335a93340
1319721b410
14d5d0d224
15843695b0
hex5457f720

1415051040 has 192 divisors, whose sum is σ = 4918257792. Its totient is φ = 339763200.

The previous prime is 1415051003. The next prime is 1415051041. The reversal of 1415051040 is 401505141.

It is a junction number, because it is equal to n+sod(n) for n = 1415050998 and 1415051016.

It is not an unprimeable number, because it can be changed into a prime (1415051041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 253075 + ... + 258605.

It is an arithmetic number, because the mean of its divisors is an integer number (25615926).

Almost surely, 21415051040 is an apocalyptic number.

1415051040 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 1415051040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2459128896).

1415051040 is an abundant number, since it is smaller than the sum of its proper divisors (3503206752).

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

1415051040 is a wasteful number, since it uses less digits than its factorization.

1415051040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5603 (or 5595 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 1415051040 is about 37617.1641674382. The cubic root of 1415051040 is about 1122.6835733981.

Adding to 1415051040 its reverse (401505141), we get a palindrome (1816556181).

The spelling of 1415051040 in words is "one billion, four hundred fifteen million, fifty-one thousand, forty".