Search a number
-
+
21020244143444 = 227213311448918367
BaseRepresentation
bin1001100011110001010000…
…01011110110110101010100
32202102111220221210222020022
410301320220023312311110
510223343430000042234
6112412322234524312
74266443150115200
oct461705013666524
982374827728208
1021020244143444
1167746a9905597
122435a45296698
13b9627b6c8c80
1452955717db00
15266bb89e1e2e
hex131e282f6d54

21020244143444 has 144 divisors (see below), whose sum is σ = 47575259504640. Its totient is φ = 8046459025920.

The previous prime is 21020244143441. The next prime is 21020244143473. The reversal of 21020244143444 is 44434144202012.

It is a super-2 number, since 2×210202441434442 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21020244143441) 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, 1144447949 + ... + 1144466315.

It is an arithmetic number, because the mean of its divisors is an integer number (330383746560).

Almost surely, 221020244143444 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 21020244143444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23787629752320).

21020244143444 is an abundant number, since it is smaller than the sum of its proper divisors (26555015361196).

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

21020244143444 is a wasteful number, since it uses less digits than its factorization.

21020244143444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32918 (or 32909 counting only the distinct ones).

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

Adding to 21020244143444 its reverse (44434144202012), we get a palindrome (65454388345456).

The spelling of 21020244143444 in words is "twenty-one trillion, twenty billion, two hundred forty-four million, one hundred forty-three thousand, four hundred forty-four".

Divisors: 1 2 4 7 13 14 26 28 31 49 52 62 91 98 124 182 196 217 364 403 434 637 806 868 1274 1519 1612 2548 2821 3038 5642 6076 11284 14489 18367 19747 28978 36734 39494 57956 73468 78988 101423 128569 188357 202846 238771 257138 376714 405692 449159 477542 514276 569377 709961 753428 898318 899983 955084 1138754 1318499 1419922 1671397 1796636 1799966 2277508 2636998 2839844 3144113 3342794 3599932 3985639 5273996 5839067 6288226 6685588 7401901 7971278 9229493 11678134 11699779 12576452 14803802 15942556 18458986 22008791 23356268 23399558 27899473 29607604 36917972 40873469 44017582 46799116 51813307 55798946 81746938 88035164 103626614 111597892 163493876 207253228 266119463 286114283 362693149 532238926 572228566 725386298 1064477852 1144457132 1450772596 1862836241 3459553019 3725672482 6919106038 7451344964 8249703353 13039853687 13838212076 16499406706 24216871133 26079707374 32998813412 48433742266 52159414748 57747923471 96867484532 107246143589 115495846942 169518097931 214492287178 230991693884 339036195862 404235464297 428984574356 678072391724 750723005123 808470928594 1501446010246 1616941857188 3002892020492 5255061035861 10510122071722 21020244143444