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21120344424224 = 2553151641128659
BaseRepresentation
bin1001100110101011101101…
…01000000111111100100000
32202210002022010011002211222
410303111312220013330200
510232013431133033344
6112530315143154212
74306615552345403
oct463256650077440
982702263132758
1021120344424224
1168030a6904071
122451320745968
13ba2841c19c46
14530331665d3a
152695c69395ee
hex133576a07f20

21120344424224 has 96 divisors (see below), whose sum is σ = 42712645610880. Its totient is φ = 10276171776000.

The previous prime is 21120344424203. The next prime is 21120344424239. The reversal of 21120344424224 is 42242444302112.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 164093207 + ... + 164221865.

It is an arithmetic number, because the mean of its divisors is an integer number (444923391780).

Almost surely, 221120344424224 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 21120344424224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21356322805440).

21120344424224 is an abundant number, since it is smaller than the sum of its proper divisors (21592301186656).

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

21120344424224 is a wasteful number, since it uses less digits than its factorization.

21120344424224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129514 (or 129506 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 35.

Adding to 21120344424224 its reverse (42242444302112), we get a palindrome (63362788726336).

The spelling of 21120344424224 in words is "twenty-one trillion, one hundred twenty billion, three hundred forty-four million, four hundred twenty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 53 106 151 212 302 424 604 641 848 1208 1282 1696 2416 2564 4832 5128 8003 10256 16006 20512 32012 33973 64024 67946 96791 128048 128659 135892 193582 256096 257318 271784 387164 514636 543568 774328 1029272 1087136 1548656 2058544 3097312 4117088 5129923 6818927 10259846 13637854 19427509 20519692 27275708 38855018 41039384 54551416 77710036 82078768 82470419 109102832 155420072 164157536 164940838 218205664 310840144 329881676 621680288 659763352 1029657977 1319526704 2059315954 2639053408 4118631908 4370932207 8237263816 8741864414 12453033269 16474527632 17483728828 24906066538 32949055264 34967457656 49812133076 69934915312 99624266152 139869830624 199248532304 398497064608 660010763257 1320021526514 2640043053028 5280086106056 10560172212112 21120344424224