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21444341412 = 223131910171633
BaseRepresentation
bin10011111110001011…
…101010111010100100
32001100111022102012010
4103332023222322210
5322404222411122
613503522354220
71356260615544
oct237613527244
961314272163
1021444341412
11910485410a
1241a57bb970
1320399b0020
14107605b324
1585796de0c
hex4fe2eaea4

21444341412 has 96 divisors (see below), whose sum is σ = 57284277120. Its totient is φ = 6189004800.

The previous prime is 21444341411. The next prime is 21444341417. The reversal of 21444341412 is 21414344412.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 21444341412.

It is not an unprimeable number, because it can be changed into a prime (21444341411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 263548 + ... + 335180.

It is an arithmetic number, because the mean of its divisors is an integer number (596711220).

Almost surely, 221444341412 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 21444341412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28642138560).

21444341412 is an abundant number, since it is smaller than the sum of its proper divisors (35839935708).

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

21444341412 is a wasteful number, since it uses less digits than its factorization.

21444341412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71773 (or 71771 counting only the distinct ones).

The product of its digits is 12288, while the sum is 30.

Adding to 21444341412 its reverse (21414344412), we get a palindrome (42858685824).

The spelling of 21444341412 in words is "twenty-one billion, four hundred forty-four million, three hundred forty-one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 52 57 76 78 101 114 156 202 228 247 303 404 494 606 741 988 1212 1313 1482 1919 2626 2964 3838 3939 5252 5757 7676 7878 11514 15756 23028 24947 49894 71633 74841 99788 143266 149682 214899 286532 299364 429798 859596 931229 1361027 1862458 2722054 2793687 3724916 4083081 5444108 5587374 7234933 8166162 11174748 14469866 16332324 17693351 21704799 28939732 35386702 43409598 53080053 70773404 86819196 94054129 106160106 137463727 188108258 212320212 274927454 282162387 376216516 412391181 549854908 564324774 824782362 1128649548 1649564724 1787028451 3574056902 5361085353 7148113804 10722170706 21444341412