[go: up one dir, main page]

Search a number
-
+
4314109896 = 233431121407
BaseRepresentation
bin1000000010010010…
…00001011111001000
3102010122202111020000
410001021001133020
532313403004041
61552030203000
7211623220605
oct40111013710
912118674200
104314109896
111914225688
12a04953460
13539a1c965
142ccd5b6ac
151a3b1ebb6
hex1012417c8

4314109896 has 80 divisors (see below), whose sum is σ = 12122922240. Its totient is φ = 1433345760.

The previous prime is 4314109879. The next prime is 4314109897. The reversal of 4314109896 is 6989014134.

4314109896 is a `hidden beast` number, since 431 + 41 + 0 + 98 + 96 = 666.

It is a super-2 number, since 2×43141098962 = 37223088389530261632, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4314109897) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 190825 + ... + 212231.

It is an arithmetic number, because the mean of its divisors is an integer number (151536528).

Almost surely, 24314109896 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 4314109896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6061461120).

4314109896 is an abundant number, since it is smaller than the sum of its proper divisors (7808812344).

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

4314109896 is a wasteful number, since it uses less digits than its factorization.

4314109896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21736 (or 21723 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 4314109896 is about 65681.8840777272. The cubic root of 4314109896 is about 1627.9100387559.

The spelling of 4314109896 in words is "four billion, three hundred fourteen million, one hundred nine thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 311 324 622 648 933 1244 1866 2488 2799 3732 5598 7464 8397 11196 16794 21407 22392 25191 33588 42814 50382 64221 67176 85628 100764 128442 171256 192663 201528 256884 385326 513768 577989 770652 1155978 1541304 1733967 2311956 3467934 4623912 6657577 6935868 13315154 13871736 19972731 26630308 39945462 53260616 59918193 79890924 119836386 159781848 179754579 239672772 359509158 479345544 539263737 719018316 1078527474 1438036632 2157054948 4314109896