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22341135454014 = 2313719749738363
BaseRepresentation
bin1010001010001101100110…
…11100010100111100111110
32221002210101010211221221210
411011012303130110330332
510412014121134012024
6115303213111505250
74464044110031556
oct505066334247476
987083333757853
1022341135454014
117133905593603
122609a41088226
13c609b5a41530
14573461148166
1528b226a45129
hex1451b3714f3e

22341135454014 has 128 divisors (see below), whose sum is σ = 49315978994688. Its totient is φ = 6705355345920.

The previous prime is 22341135454013. The next prime is 22341135454049. The reversal of 22341135454014 is 41045453114322.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22341135454013) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2671421797 + ... + 2671430159.

It is an arithmetic number, because the mean of its divisors is an integer number (385281085896).

Almost surely, 222341135454014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22341135454014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24657989497344).

22341135454014 is an abundant number, since it is smaller than the sum of its proper divisors (26974843540674).

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

22341135454014 is a wasteful number, since it uses less digits than its factorization.

22341135454014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13522.

The product of its (nonzero) digits is 230400, while the sum is 39.

Adding to 22341135454014 its reverse (41045453114322), we get a palindrome (63386588568336).

The spelling of 22341135454014 in words is "twenty-two trillion, three hundred forty-one billion, one hundred thirty-five million, four hundred fifty-four thousand, fourteen".

Divisors: 1 2 3 6 13 26 39 71 78 97 142 194 213 291 426 582 923 1261 1846 2522 2769 3783 4973 5538 6887 7566 8363 9946 13774 14919 16726 20661 25089 29838 41322 50178 64649 89531 108719 129298 179062 193947 217438 268593 326157 353083 387894 482381 537186 593773 652314 706166 811211 964762 1059249 1187546 1447143 1622422 1781319 2118498 2433633 2894286 3562638 4590079 4867266 6270953 7719049 9180158 10545743 12541906 13770237 15438098 18812859 21091486 23157147 27540474 31637229 34249051 37625718 41589199 46314294 57595981 63274458 68498102 83178398 102747153 115191962 124767597 172787943 205494306 249535194 345575886 445237663 540659587 748747753 890475326 1081319174 1335712989 1497495506 1621978761 2246243259 2671425978 2952833129 3243957522 4034152303 4492486518 5905666258 8068304606 8858499387 12102456909 17716998774 24204913818 38386830677 52443979939 76773661354 104887959878 115160492031 157331939817 230320984062 286424813513 314663879634 572849627026 859274440539 1718548881078 3723522575669 7447045151338 11170567727007 22341135454014