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210144223412244 = 2232113134913490313
BaseRepresentation
bin101111110010000000000011…
…110010011100000000010100
31000120001120222020122202120200
4233302000003302130000110
5210021000332143142434
62022534531250500500
762156263520522502
oct5762000362340024
91016046866582520
10210144223412244
1160a5a734738650
121b69b437294730
139034690c91694
1439c706b24d672
1519465008aa199
hexbf2003c9c014

210144223412244 has 144 divisors (see below), whose sum is σ = 598200150772224. Its totient is φ = 61623981158400.

The previous prime is 210144223412243. The next prime is 210144223412257. The reversal of 210144223412244 is 442214322441012.

210144223412244 is a `hidden beast` number, since 2 + 1 + 0 + 1 + 4 + 422 + 3 + 4 + 1 + 224 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 210144223412199 and 210144223412208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210144223412243) 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, 428346832 + ... + 428837144.

It is an arithmetic number, because the mean of its divisors is an integer number (4154167713696).

Almost surely, 2210144223412244 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 210144223412244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299100075386112).

210144223412244 is an abundant number, since it is smaller than the sum of its proper divisors (388055927359980).

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

210144223412244 is a wasteful number, since it uses less digits than its factorization.

210144223412244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525278 (or 525273 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 210144223412244 its reverse (442214322441012), we get a palindrome (652358545853256).

The spelling of 210144223412244 in words is "two hundred ten trillion, one hundred forty-four billion, two hundred twenty-three million, four hundred twelve thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 31 33 36 44 62 66 93 99 124 132 186 198 279 341 372 396 558 682 1023 1116 1364 2046 3069 4092 6138 12276 34913 69826 104739 139652 209478 314217 384043 418956 490313 628434 768086 980626 1082303 1152129 1256868 1470939 1536172 1961252 2164606 2304258 2941878 3246909 3456387 4329212 4412817 4608516 5393443 5883756 6493818 6912774 8825634 9740727 10786886 11905333 12987636 13825548 15199703 16180329 17651268 19481454 21573772 23810666 30399406 32360658 35715999 38962908 45599109 47621332 48540987 60798812 64721316 71431998 91198218 97081974 107147997 136797327 142863996 167196733 182396436 194163948 214295994 273594654 334393466 428591988 501590199 547189308 668786932 1003180398 1504770597 2006360796 3009541194 6019082388 17118297769 34236595538 51354893307 68473191076 102709786614 154064679921 188301275459 205419573228 308129359842 376602550918 530667230839 564903826377 616258719684 753205101836 1061334461678 1129807652754 1592001692517 1694711479131 2122668923356 2259615305508 3184003385034 3389422958262 4776005077551 5837339539229 6368006770068 6778845916524 9552010155102 11674679078458 17512018617687 19104020310204 23349358156916 35024037235374 52536055853061 70048074470748 105072111706122 210144223412244