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4112320410 = 23251115127509
BaseRepresentation
bin1111010100011101…
…0000011110011010
3101121121001112002100
43311013100132122
531410223223120
61520021144230
7203623101222
oct36507203632
911547045070
104112320410
111820330210
1296925b076
13506c89cb3
142b0231082
15191060490
hexf51d079a

4112320410 has 96 divisors (see below), whose sum is σ = 11741708160. Its totient is φ = 990288000.

The previous prime is 4112320367. The next prime is 4112320427. The reversal of 4112320410 is 140232114.

It is a super-2 number, since 2×41123204102 = 33822358309005136200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 135736 + ... + 163244.

It is an arithmetic number, because the mean of its divisors is an integer number (122309460).

Almost surely, 24112320410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4112320410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5870854080).

4112320410 is an abundant number, since it is smaller than the sum of its proper divisors (7629387750).

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

4112320410 is a wasteful number, since it uses less digits than its factorization.

4112320410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27684 (or 27681 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 4112320410 is about 64127.3764471930. The cubic root of 4112320410 is about 1602.1222372091.

Adding to 4112320410 its reverse (140232114), we get a palindrome (4252552524).

The spelling of 4112320410 in words is "four billion, one hundred twelve million, three hundred twenty thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 151 165 198 302 330 453 495 755 906 990 1359 1510 1661 2265 2718 3322 4530 4983 6795 8305 9966 13590 14949 16610 24915 27509 29898 49830 55018 74745 82527 137545 149490 165054 247581 275090 302599 412635 495162 605198 825270 907797 1237905 1512995 1815594 2475810 2723391 3025990 4153859 4538985 5446782 8307718 9077970 12461577 13616955 20769295 24923154 27233910 37384731 41538590 45692449 62307885 74769462 91384898 124615770 137077347 186923655 228462245 274154694 373847310 411232041 456924490 685386735 822464082 1370773470 2056160205 4112320410