Search a number
-
+
4316132040 = 23351117192341
BaseRepresentation
bin1000000010100001…
…01111001011001000
3102010210120020002020
410001100233023020
532314412211130
61552141404440
7211646342223
oct40120571310
912123506066
104316132040
111915386980
12a05569720
1353a27a1ac
142cd3265ba
151a3dbde10
hex10142f2c8

4316132040 has 128 divisors (see below), whose sum is σ = 14956513920. Its totient is φ = 984780800.

The previous prime is 4316132011. The next prime is 4316132047. The reversal of 4316132040 is 402316134.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4316132040.

It is not an unprimeable number, because it can be changed into a prime (4316132047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73731 + ... + 118610.

It is an arithmetic number, because the mean of its divisors is an integer number (116847765).

Almost surely, 24316132040 is an apocalyptic number.

4316132040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4316132040 is an abundant number, since it is smaller than the sum of its proper divisors (10640381880).

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

4316132040 is a wasteful number, since it uses less digits than its factorization.

4316132040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192383 (or 192379 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 4316132040 is about 65697.2757426059. The cubic root of 4316132040 is about 1628.1643480187.

Adding to 4316132040 its reverse (402316134), we get a palindrome (4718448174).

The spelling of 4316132040 in words is "four billion, three hundred sixteen million, one hundred thirty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 17 20 22 24 30 33 34 40 44 51 55 60 66 68 85 88 102 110 120 132 136 165 170 187 204 220 255 264 330 340 374 408 440 510 561 660 680 748 935 1020 1122 1320 1496 1870 2040 2244 2805 3740 4488 5610 7480 11220 22440 192341 384682 577023 769364 961705 1154046 1538728 1923410 2115751 2308092 2885115 3269797 3846820 4231502 4616184 5770230 6347253 6539594 7693640 8463004 9809391 10578755 11540460 12694506 13079188 16348985 16926008 19618782 21157510 23080920 25389012 26158376 31736265 32697970 35967767 39237564 42315020 49046955 50778024 63472530 65395940 71935534 78475128 84630040 98093910 107903301 126945060 130791880 143871068 179838835 196187820 215806602 253890120 287742136 359677670 392375640 431613204 539516505 719355340 863226408 1079033010 1438710680 2158066020 4316132040