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21540041420 = 22517232754481
BaseRepresentation
bin10100000011111000…
…101111001011001100
32001121011101110220212
4110003320233023030
5323103222311140
613521221501552
71361532221402
oct240370571314
961534343825
1021540041420
119153878a27
1242118718b8
132053779551
141084a4d472
15861074765
hex503e2f2cc

21540041420 has 48 divisors (see below), whose sum is σ = 49977321408. Its totient is φ = 7756615680.

The previous prime is 21540041387. The next prime is 21540041423. The reversal of 21540041420 is 2414004512.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is not an unprimeable number, because it can be changed into a prime (21540041423) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1369421 + ... + 1385060.

It is an arithmetic number, because the mean of its divisors is an integer number (1041194196).

Almost surely, 221540041420 is an apocalyptic number.

21540041420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21540041420 is an abundant number, since it is smaller than the sum of its proper divisors (28437279988).

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

21540041420 is a wasteful number, since it uses less digits than its factorization.

21540041420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2754530 (or 2754528 counting only the distinct ones).

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

Adding to 21540041420 its reverse (2414004512), we get a palindrome (23954045932).

The spelling of 21540041420 in words is "twenty-one billion, five hundred forty million, forty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 23 34 46 68 85 92 115 170 230 340 391 460 782 1564 1955 3910 7820 2754481 5508962 11017924 13772405 27544810 46826177 55089620 63353063 93652354 126706126 187304708 234130885 253412252 316765315 468261770 633530630 936523540 1077002071 1267061260 2154004142 4308008284 5385010355 10770020710 21540041420