Search a number
-
+
4041356144 = 247217893407
BaseRepresentation
bin1111000011100010…
…0011001101110000
3101102122112011102012
43300320203031300
531234041344034
61505004142052
7202101650300
oct36070431560
911378464365
104041356144
111794270761
12949537928
134c53715c7
142a4a3b600
15189be3cce
hexf0e23370

4041356144 has 120 divisors (see below), whose sum is σ = 9755536320. Its totient is φ = 1611337728.

The previous prime is 4041356141. The next prime is 4041356173. The reversal of 4041356144 is 4416531404.

It is a self number, because there is not a number n which added to its sum of digits gives 4041356144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4041356141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1184489 + ... + 1187895.

It is an arithmetic number, because the mean of its divisors is an integer number (81296136).

Almost surely, 24041356144 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 4041356144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4877768160).

4041356144 is an abundant number, since it is smaller than the sum of its proper divisors (5714180176).

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

4041356144 is a wasteful number, since it uses less digits than its factorization.

4041356144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3535 (or 3522 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 4041356144 is about 63571.6614852876. The cubic root of 4041356144 is about 1592.8530376984.

Adding to 4041356144 its reverse (4416531404), we get a palindrome (8457887548).

The spelling of 4041356144 in words is "four billion, forty-one million, three hundred fifty-six thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 17 28 34 49 56 68 89 98 112 119 136 178 196 238 272 356 392 476 623 712 784 833 952 1246 1424 1513 1666 1904 2492 3026 3332 3407 4361 4984 6052 6664 6814 8722 9968 10591 12104 13328 13628 17444 21182 23849 24208 27256 34888 42364 47698 54512 57919 69776 74137 84728 95396 115838 148274 166943 169456 190792 231676 296548 303223 333886 381584 405433 463352 593096 606446 667772 810866 926704 1186192 1212892 1335544 1621732 2122561 2425784 2671088 2838031 3243464 4245122 4851568 5154791 5676062 6486928 8490244 10309582 11352124 14857927 16980488 20619164 22704248 29715854 33960976 36083537 41238328 45408496 59431708 72167074 82476656 118863416 144334148 237726832 252584759 288668296 505169518 577336592 1010339036 2020678072 4041356144