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21021311444 = 22721743146719
BaseRepresentation
bin10011100100111101…
…111100000111010100
32000021000022021011112
4103210331330013110
5321022423431234
613353531354152
71342633125200
oct234475740724
960230267145
1021021311444
118a07a89471
1240a7bb2958
131ca0167133
141035bbdb00
1583075bace
hex4e4f7c1d4

21021311444 has 72 divisors (see below), whose sum is σ = 46364693760. Its totient is φ = 8281937664.

The previous prime is 21021311417. The next prime is 21021311459. The reversal of 21021311444 is 44411312012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69917 + ... + 216635.

It is an arithmetic number, because the mean of its divisors is an integer number (643954080).

Almost surely, 221021311444 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 21021311444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23182346880).

21021311444 is an abundant number, since it is smaller than the sum of its proper divisors (25343382316).

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

21021311444 is a wasteful number, since it uses less digits than its factorization.

21021311444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146797 (or 146788 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 21021311444 its reverse (44411312012), we get a palindrome (65432623456).

The spelling of 21021311444 in words is "twenty-one billion, twenty-one million, three hundred eleven thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 17 28 34 43 49 68 86 98 119 172 196 238 301 476 602 731 833 1204 1462 1666 2107 2924 3332 4214 5117 8428 10234 20468 35819 71638 143276 146719 293438 586876 1027033 2054066 2494223 4108132 4988446 6308917 7189231 9976892 12617834 14378462 17459561 25235668 28756924 34919122 44162419 69838244 88324838 107251589 122216927 176649676 214503178 244433854 309136933 429006356 488867708 618273866 750761123 1236547732 1501522246 3003044492 5255327861 10510655722 21021311444