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4140444450 = 2352416531031
BaseRepresentation
bin1111011011001010…
…0010101100100010
3101200112222101000110
43312302202230202
531434423210300
61522504032150
7204414124422
oct36662425442
911615871013
104140444450
11183519a21a
12976762656
1350ca5613c
142b3c72482
15193768550
hexf6ca2b22

4140444450 has 96 divisors (see below), whose sum is σ = 10545075072. Its totient is φ = 1074496000.

The previous prime is 4140444443. The next prime is 4140444547. The reversal of 4140444450 is 544440414.

4140444450 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon 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, 4015435 + ... + 4016465.

It is an arithmetic number, because the mean of its divisors is an integer number (109844532).

Almost surely, 24140444450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4140444450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5272537536).

4140444450 is an abundant number, since it is smaller than the sum of its proper divisors (6404630622).

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

4140444450 is a wasteful number, since it uses less digits than its factorization.

4140444450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1740 (or 1735 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 30.

The square root of 4140444450 is about 64346.2854405754. The cubic root of 4140444450 is about 1605.7662319024.

Adding to 4140444450 its reverse (544440414), we get a palindrome (4684884864).

The spelling of 4140444450 in words is "four billion, one hundred forty million, four hundred forty-four thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 41 50 75 82 123 150 205 246 410 615 653 1025 1031 1230 1306 1959 2050 2062 3075 3093 3265 3918 5155 6150 6186 6530 9795 10310 15465 16325 19590 25775 26773 30930 32650 42271 48975 51550 53546 77325 80319 84542 97950 126813 133865 154650 160638 211355 253626 267730 401595 422710 634065 669325 673243 803190 1056775 1268130 1338650 1346486 2007975 2019729 2113550 3170325 3366215 4015950 4039458 6340650 6732430 10098645 16831075 20197290 27602963 33662150 50493225 55205926 82808889 100986450 138014815 165617778 276029630 414044445 690074075 828088890 1380148150 2070222225 4140444450