Search a number
-
+
4102144520 = 235791518597
BaseRepresentation
bin1111010010000001…
…1100001000001000
3101120212220112101112
43310200130020020
531400122111040
61515015105452
7203440440005
oct36440341010
911525815345
104102144520
11181560a991
12965972288
13504b36366
142acb428ac
15190200365
hexf481c208

4102144520 has 64 divisors (see below), whose sum is σ = 9409651200. Its totient is φ = 1609171200.

The previous prime is 4102144451. The next prime is 4102144567. The reversal of 4102144520 is 254412014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 472862 + ... + 481458.

It is an arithmetic number, because the mean of its divisors is an integer number (147025800).

Almost surely, 24102144520 is an apocalyptic number.

4102144520 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 4102144520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4704825600).

4102144520 is an abundant number, since it is smaller than the sum of its proper divisors (5307506680).

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

4102144520 is a wasteful number, since it uses less digits than its factorization.

4102144520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8838 (or 8834 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

The square root of 4102144520 is about 64047.9860729438. The cubic root of 4102144520 is about 1600.7996679737.

Adding to 4102144520 its reverse (254412014), we get a palindrome (4356556534).

The spelling of 4102144520 in words is "four billion, one hundred two million, one hundred forty-four thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 79 151 158 302 316 395 604 632 755 790 1208 1510 1580 3020 3160 6040 8597 11929 17194 23858 34388 42985 47716 59645 68776 85970 95432 119290 171940 238580 343880 477160 679163 1298147 1358326 2596294 2716652 3395815 5192588 5433304 6490735 6791630 10385176 12981470 13583260 25962940 27166520 51925880 102553613 205107226 410214452 512768065 820428904 1025536130 2051072260 4102144520