Search a number
-
+
2140416432 = 24327211223109
BaseRepresentation
bin111111110010100…
…0010100110110000
312112011120102100200
41333211002212300
513340421311212
6552220315200
7104020145100
oct17745024660
95464512320
102140416432
119a9233600
124b89a2b00
1328159c0cb
141643ab200
15c7d9c6dc
hex7f9429b0

2140416432 has 540 divisors, whose sum is σ = 8065577520. Its totient is φ = 526901760.

The previous prime is 2140416431. The next prime is 2140416437. The reversal of 2140416432 is 2346140412.

It is a happy number.

2140416432 is a `hidden beast` number, since 2 + 14 + 0 + 4 + 1 + 643 + 2 = 666.

2140416432 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×21404164322 = 9162765004751221248, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2140416396 and 2140416405.

It is not an unprimeable number, because it can be changed into a prime (2140416431) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 19636794 + ... + 19636902.

Almost surely, 22140416432 is an apocalyptic number.

2140416432 is a gapful number since it is divisible by the number (22) 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 2140416432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4032788760).

2140416432 is an abundant number, since it is smaller than the sum of its proper divisors (5925161088).

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

2140416432 is a wasteful number, since it uses less digits than its factorization.

2140416432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2140416432 is about 46264.6347872757. The cubic root of 2140416432 is about 1288.7423257091.

Adding to 2140416432 its reverse (2346140412), we get a palindrome (4486556844).

The spelling of 2140416432 in words is "two billion, one hundred forty million, four hundred sixteen thousand, four hundred thirty-two".