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20041311444 = 223721112972389
BaseRepresentation
bin10010101010100011…
…100010010011010100
31220201201021002220020
4102222203202103110
5312021033431234
613112402505140
71306433223300
oct225243422324
956651232806
1020041311444
118554885a10
123a739651b0
131b7511038b
14d8199ad00
157c46cb549
hex4aa8e24d4

20041311444 has 144 divisors (see below), whose sum is σ = 59413717440. Its totient is φ = 5199344640.

The previous prime is 20041311443. The next prime is 20041311461. The reversal of 20041311444 is 44411314002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20041311443) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8387802 + ... + 8390190.

It is an arithmetic number, because the mean of its divisors is an integer number (412595260).

Almost surely, 220041311444 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 20041311444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29706858720).

20041311444 is an abundant number, since it is smaller than the sum of its proper divisors (39372405996).

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

20041311444 is a wasteful number, since it uses less digits than its factorization.

20041311444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3718 (or 3709 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 20041311444 its reverse (44411314002), we get a palindrome (64452625446).

The spelling of 20041311444 in words is "twenty billion, forty-one million, three hundred eleven thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 49 66 77 84 98 132 147 154 196 231 294 308 462 539 588 924 1078 1297 1617 2156 2389 2594 3234 3891 4778 5188 6468 7167 7782 9079 9556 14267 14334 15564 16723 18158 26279 27237 28534 28668 33446 36316 42801 50169 52558 54474 57068 63553 66892 78837 85602 99869 100338 105116 108948 117061 127106 157674 171204 183953 190659 199738 200676 234122 254212 299607 315348 351183 367906 381318 399476 468244 551859 599214 699083 702366 735812 762636 1103718 1198428 1287671 1398166 1404732 2097249 2207436 2575342 2796332 3098533 3863013 4194498 5150684 6197066 7726026 8388996 9295599 12394132 15452052 18591198 21689731 34083863 37182396 43379462 65069193 68167726 86758924 102251589 130138386 136335452 151828117 204503178 238587041 260276772 303656234 409006356 455484351 477174082 607312468 715761123 910968702 954348164 1431522246 1670109287 1821937404 2863044492 3340218574 5010327861 6680437148 10020655722 20041311444