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21442464300 = 22352587121763
BaseRepresentation
bin10011111110000100…
…100000101000101100
32001100100210001021110
4103332010200220230
5322403232324200
613503414232020
71356235640115
oct237604405054
961310701243
1021442464300
119103791884
1241a5055610
1320394a37ca
141075acd20c
158576ecb50
hex4fe120a2c

21442464300 has 72 divisors (see below), whose sum is σ = 62146397376. Its totient is φ = 5708202560.

The previous prime is 21442464289. The next prime is 21442464319. The reversal of 21442464300 is 346424412.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115219 + ... + 236981.

It is an arithmetic number, because the mean of its divisors is an integer number (863144408).

Almost surely, 221442464300 is an apocalyptic number.

21442464300 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 21442464300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31073198688).

21442464300 is an abundant number, since it is smaller than the sum of its proper divisors (40703933076).

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

21442464300 is a wasteful number, since it uses less digits than its factorization.

21442464300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122367 (or 122360 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 21442464300 its reverse (346424412), we get a palindrome (21788888712).

The spelling of 21442464300 in words is "twenty-one billion, four hundred forty-two million, four hundred sixty-four thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 587 1174 1761 2348 2935 3522 5870 7044 8805 11740 14675 17610 29350 35220 44025 58700 88050 121763 176100 243526 365289 487052 608815 730578 1217630 1461156 1826445 2435260 3044075 3652890 6088150 7305780 9132225 12176300 18264450 36528900 71474881 142949762 214424643 285899524 357374405 428849286 714748810 857698572 1072123215 1429497620 1786872025 2144246430 3573744050 4288492860 5360616075 7147488100 10721232150 21442464300