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21444877844412 = 223111013494608959
BaseRepresentation
bin1001110000001000001100…
…10100110111111110111100
32210221002222102001000020020
410320010012110313332330
510302323102212010122
6113335350232452140
74342225031040321
oct470040624677674
983832872030206
1021444877844412
1169187a3527040
1224a41b224a050
13bc73216cb919
14541d1abb8b48
15272c6cd54c5c
hex138106537fbc

21444877844412 has 96 divisors (see below), whose sum is σ = 55285396992000. Its totient is φ = 6415669536000.

The previous prime is 21444877844381. The next prime is 21444877844417.

21444877844412 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21444877844417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2348389 + ... + 6957347.

It is an arithmetic number, because the mean of its divisors is an integer number (575889552000).

Almost surely, 221444877844412 is an apocalyptic number.

21444877844412 is a gapful number since it is divisible by the number (22) 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 21444877844412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27642698496000).

21444877844412 is an abundant number, since it is smaller than the sum of its proper divisors (33840519147588).

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

21444877844412 is a wasteful number, since it uses less digits than its factorization.

21444877844412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4609427 (or 4609425 counting only the distinct ones).

The product of its digits is 51380224, while the sum is 60.

It can be divided in two parts, 2144487 and 7844412, that added together give a palindrome (9988899).

The spelling of 21444877844412 in words is "twenty-one trillion, four hundred forty-four billion, eight hundred seventy-seven million, eight hundred forty-four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 101 132 202 303 349 404 606 698 1047 1111 1212 1396 2094 2222 3333 3839 4188 4444 6666 7678 11517 13332 15356 23034 35249 46068 70498 105747 140996 211494 387739 422988 775478 1163217 1550956 2326434 4608959 4652868 9217918 13826877 18435836 27653754 50698549 55307508 101397098 152095647 202794196 304191294 465504859 608382588 931009718 1396514577 1608526691 1862019436 2793029154 3217053382 4825580073 5120553449 5586058308 6434106764 9651160146 10241106898 15361660347 17693793601 19302320292 20482213796 30723320694 35387587202 53081380803 61446641388 70775174404 106162761606 162461195791 212325523212 324922391582 487383587373 649844783164 974767174746 1787073153701 1949534349492 3574146307402 5361219461103 7148292614804 10722438922206 21444877844412