Search a number
-
+
1416040704 = 28351317103
BaseRepresentation
bin101010001100111…
…0001000100000000
310122200112022200000
41110121301010000
510400001300304
6352302400000
750043101361
oct12431610400
93580468600
101416040704
11667355381
12336290000
131974a6a10
14d60c9b68
15844b2939
hex54671100

1416040704 has 432 divisors, whose sum is σ = 4874792832. Its totient is φ = 406093824.

The previous prime is 1416040699. The next prime is 1416040751. The reversal of 1416040704 is 4070406141.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-3 number, since 3×14160407043 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13747917 + ... + 13748019.

Almost surely, 21416040704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1416040704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2437396416).

1416040704 is an abundant number, since it is smaller than the sum of its proper divisors (3458752128).

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

1416040704 is a wasteful number, since it uses less digits than its factorization.

1416040704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 1416040704 is about 37630.3162888648. The cubic root of 1416040704 is about 1122.9452413666.

Adding to 1416040704 its reverse (4070406141), we get a palindrome (5486446845).

The spelling of 1416040704 in words is "one billion, four hundred sixteen million, forty thousand, seven hundred four".