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20041414540 = 2257329100741
BaseRepresentation
bin10010101010100011…
…111011011110001100
31220201201110100022121
4102222203323132030
5312021100231130
613112405022324
71306434133000
oct225243733614
956651410277
1020041414540
118554946414
123a739b49a4
131b75148294
14d819c6700
157c46ebd7a
hex4aa8fb78c

20041414540 has 96 divisors (see below), whose sum is σ = 50773968000. Its totient is φ = 6634333440.

The previous prime is 20041414531. The next prime is 20041414577. The reversal of 20041414540 is 4541414002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 148570 + ... + 249310.

It is an arithmetic number, because the mean of its divisors is an integer number (528895500).

Almost surely, 220041414540 is an apocalyptic number.

20041414540 is a gapful number since it is divisible by the number (20) 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 20041414540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25386984000).

20041414540 is an abundant number, since it is smaller than the sum of its proper divisors (30732553460).

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

20041414540 is a wasteful number, since it uses less digits than its factorization.

20041414540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100800 (or 100784 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

Adding to 20041414540 its reverse (4541414002), we get a palindrome (24582828542).

The spelling of 20041414540 in words is "twenty billion, forty-one million, four hundred fourteen thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 49 58 70 98 116 140 145 196 203 245 290 343 406 490 580 686 812 980 1015 1372 1421 1715 2030 2842 3430 4060 5684 6860 7105 9947 14210 19894 28420 39788 49735 99470 100741 198940 201482 402964 503705 705187 1007410 1410374 2014820 2820748 2921489 3525935 4936309 5842978 7051870 9872618 11685956 14103740 14607445 19745236 20450423 24681545 29214890 34554163 40900846 49363090 58429780 69108326 81801692 98726180 102252115 138216652 143152961 172770815 204504230 286305922 345541630 409008460 572611844 691083260 715764805 1002070727 1431529610 2004141454 2863059220 4008282908 5010353635 10020707270 20041414540