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21144340056 = 23372131137251
BaseRepresentation
bin10011101100010011…
…010000011001011000
32000120120210202200210
4103230103100121120
5321300422340211
613414044331120
71345655632200
oct235423203130
960516722623
1021144340056
118a70479704
124121243aa0
131cbc7b1728
141048287400
1583b45e9a6
hex4ec4d0658

21144340056 has 96 divisors (see below), whose sum is σ = 61961042880. Its totient is φ = 5995080000.

The previous prime is 21144340043. The next prime is 21144340069. The reversal of 21144340056 is 65004344112.

It is an interprime number because it is at equal distance from previous prime (21144340043) and next prime (21144340069).

It is a congruent number.

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, 85431 + ... + 222681.

It is an arithmetic number, because the mean of its divisors is an integer number (645427530).

Almost surely, 221144340056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21144340056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30980521440).

21144340056 is an abundant number, since it is smaller than the sum of its proper divisors (40816702824).

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

21144340056 is a wasteful number, since it uses less digits than its factorization.

21144340056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137405 (or 137394 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 21144340056 its reverse (65004344112), we get a palindrome (86148684168).

The spelling of 21144340056 in words is "twenty-one billion, one hundred forty-four million, three hundred forty thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 131 147 168 196 262 294 392 393 524 588 786 917 1048 1176 1572 1834 2751 3144 3668 5502 6419 7336 11004 12838 19257 22008 25676 38514 51352 77028 137251 154056 274502 411753 549004 823506 960757 1098008 1647012 1921514 2882271 3294024 3843028 5764542 6725299 7686056 11529084 13450598 17979881 20175897 23058168 26901196 35959762 40351794 53802392 53939643 71919524 80703588 107879286 125859167 143839048 161407176 215758572 251718334 377577501 431517144 503436668 755155002 881014169 1006873336 1510310004 1762028338 2643042507 3020620008 3524056676 5286085014 7048113352 10572170028 21144340056