Search a number
-
+
4043131040 = 255135413593
BaseRepresentation
bin1111000011111101…
…0100100010100000
3101102202212100010002
43300333110202200
531240020143130
61505110155132
7202123022024
oct36077244240
911382770102
104043131040
111795273213
1294a052aa8
134c5843440
142a4d80384
15189e44b45
hexf0fd48a0

4043131040 has 96 divisors (see below), whose sum is σ = 10308540816. Its totient is φ = 1489674240.

The previous prime is 4043131031. The next prime is 4043131067. The reversal of 4043131040 is 401313404.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 539911696 + 3503219344 = 23236^2 + 59188^2 .

It is a super-2 number, since 2×40431310402 = 32693817213222963200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 1123484 + ... + 1127076.

Almost surely, 24043131040 is an apocalyptic number.

4043131040 is a gapful number since it is divisible by the number (40) 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 4043131040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5154270408).

4043131040 is an abundant number, since it is smaller than the sum of its proper divisors (6265409776).

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

4043131040 is a wasteful number, since it uses less digits than its factorization.

4043131040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4162 (or 4154 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 4043131040 is about 63585.6197579295. The cubic root of 4043131040 is about 1593.0861883708.

Adding to 4043131040 its reverse (401313404), we get a palindrome (4444444444).

The spelling of 4043131040 in words is "four billion, forty-three million, one hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 541 1040 1082 2080 2164 2705 3593 4328 5410 7033 7186 8656 10820 14066 14372 17312 17965 21640 28132 28744 35165 35930 43280 46709 56264 57488 70330 71860 86560 93418 112528 114976 140660 143720 186836 225056 233545 281320 287440 373672 467090 562640 574880 747344 934180 1125280 1494688 1868360 1943813 3736720 3887626 7473440 7775252 9719065 15550504 19438130 25269569 31101008 38876260 50539138 62202016 77752520 101078276 126347845 155505040 202156552 252695690 311010080 404313104 505391380 808626208 1010782760 2021565520 4043131040