Search a number
-
+
4140145460 = 22511103118253
BaseRepresentation
bin1111011011000101…
…1001101100110100
3101200112102011212202
43312301121230310
531434334123320
61522453404032
7204411440633
oct36661315464
911615364782
104140145460
111835005620
12976639618
1350c980019
142b3bd551a
15193709b75
hexf6c59b34

4140145460 has 48 divisors (see below), whose sum is σ = 9494416512. Its totient is φ = 1503964800.

The previous prime is 4140145459. The next prime is 4140145547. The reversal of 4140145460 is 645410414.

It is a super-2 number, since 2×41401454602 = 34281608859917223200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 217694 + ... + 235946.

It is an arithmetic number, because the mean of its divisors is an integer number (197800344).

Almost surely, 24140145460 is an apocalyptic number.

It is an amenable number.

4140145460 is an abundant number, since it is smaller than the sum of its proper divisors (5354271052).

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

4140145460 is a wasteful number, since it uses less digits than its factorization.

4140145460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19304 (or 19302 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 4140145460 is about 64343.9621098981. The cubic root of 4140145460 is about 1605.7275790791.

Adding to 4140145460 its reverse (645410414), we get a palindrome (4785555874).

The spelling of 4140145460 in words is "four billion, one hundred forty million, one hundred forty-five thousand, four hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 1031 2062 4124 5155 10310 11341 18253 20620 22682 36506 45364 56705 73012 91265 113410 182530 200783 226820 365060 401566 803132 1003915 2007830 4015660 18818843 37637686 75275372 94094215 188188430 207007273 376376860 414014546 828029092 1035036365 2070072730 4140145460