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21144044320 = 255754734513
BaseRepresentation
bin10011101100010010…
…001000001100100000
32000120120020202000121
4103230102020030200
5321300333404240
613414034130024
71345653261040
oct235422101440
960516222017
1021144044320
118a702974a3
124121120914
131cbc709c39
14104820b720
1583b40204a
hex4ec488320

21144044320 has 96 divisors (see below), whose sum is σ = 57194944128. Its totient is φ = 7235923968.

The previous prime is 21144044293. The next prime is 21144044329. The reversal of 21144044320 is 2344044112.

It is a super-2 number, since 2×211440443202 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21144044329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 595384 + ... + 629896.

It is an arithmetic number, because the mean of its divisors is an integer number (595780668).

Almost surely, 221144044320 is an apocalyptic number.

21144044320 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 21144044320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28597472064).

21144044320 is an abundant number, since it is smaller than the sum of its proper divisors (36050899808).

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

21144044320 is a wasteful number, since it uses less digits than its factorization.

21144044320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35082 (or 35074 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 21144044320 its reverse (2344044112), we get a palindrome (23488088432).

The spelling of 21144044320 in words is "twenty-one billion, one hundred forty-four million, forty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 547 560 1094 1120 2188 2735 3829 4376 5470 7658 8752 10940 15316 17504 19145 21880 30632 34513 38290 43760 61264 69026 76580 87520 122528 138052 153160 172565 241591 276104 306320 345130 483182 552208 612640 690260 966364 1104416 1207955 1380520 1932728 2415910 2761040 3865456 4831820 5522080 7730912 9663640 18878611 19327280 37757222 38654560 75514444 94393055 132150277 151028888 188786110 264300554 302057776 377572220 528601108 604115552 660751385 755144440 1057202216 1321502770 1510288880 2114404432 2643005540 3020577760 4228808864 5286011080 10572022160 21144044320