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21124301440 = 275113000611
BaseRepresentation
bin10011101011000110…
…110100001010000000
32000112012002200212211
4103223012310022000
5321230310121230
613412051031504
71345323412444
oct235306641200
960465080784
1021124301440
118a60132370
12411659b594
131cb85b6868
14104574c824
1583980242a
hex4eb1b4280

21124301440 has 64 divisors (see below), whose sum is σ = 55091236320. Its totient is φ = 7681561600.

The previous prime is 21124301431. The next prime is 21124301491. The reversal of 21124301440 is 4410342112.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×211243014402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1493266 + ... + 1507345.

Almost surely, 221124301440 is an apocalyptic number.

21124301440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21124301440 is an abundant number, since it is smaller than the sum of its proper divisors (33966934880).

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

21124301440 is a wasteful number, since it uses less digits than its factorization.

21124301440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3000641 (or 3000629 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 21124301440 its reverse (4410342112), we get a palindrome (25534643552).

The spelling of 21124301440 in words is "twenty-one billion, one hundred twenty-four million, three hundred one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 320 352 440 640 704 880 1408 1760 3520 7040 3000611 6001222 12002444 15003055 24004888 30006110 33006721 48009776 60012220 66013442 96019552 120024440 132026884 165033605 192039104 240048880 264053768 330067210 384078208 480097760 528107536 660134420 960195520 1056215072 1320268840 1920391040 2112430144 2640537680 4224860288 5281075360 10562150720 21124301440