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21421021344 = 2531924114871
BaseRepresentation
bin10011111100110010…
…101101100010100000
32001021212102122001220
4103330302231202200
5322332240140334
613501330455040
71355555451162
oct237462554240
961255378056
1021421021344
1190a2676428
124199a34480
132034c06678
141072d0a932
158558b4449
hex4fccad8a0

21421021344 has 96 divisors (see below), whose sum is σ = 59226370560. Its totient is φ = 6760339200.

The previous prime is 21421021333. The next prime is 21421021387. The reversal of 21421021344 is 44312012412.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 15 ways as a sum of consecutive naturals, for example, 4395229 + ... + 4400099.

It is an arithmetic number, because the mean of its divisors is an integer number (616941360).

Almost surely, 221421021344 is an apocalyptic number.

21421021344 is a gapful number since it is divisible by the number (24) 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 21421021344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29613185280).

21421021344 is an abundant number, since it is smaller than the sum of its proper divisors (37805349216).

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

21421021344 is a wasteful number, since it uses less digits than its factorization.

21421021344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7314 (or 7306 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 21421021344 its reverse (44312012412), we get a palindrome (65733033756).

The spelling of 21421021344 in words is "twenty-one billion, four hundred twenty-one million, twenty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 2411 4822 4871 7233 9644 9742 14466 14613 19288 19484 28932 29226 38576 38968 45809 57864 58452 77152 77936 91618 92549 115728 116904 137427 155872 183236 185098 231456 233808 274854 277647 366472 370196 467616 549708 555294 732944 740392 1099416 1110588 1465888 1480784 2198832 2221176 2961568 4397664 4442352 8884704 11743981 23487962 35231943 46975924 70463886 93951848 140927772 187903696 223135639 281855544 375807392 446271278 563711088 669406917 892542556 1127422176 1338813834 1785085112 2677627668 3570170224 5355255336 7140340448 10710510672 21421021344