Search a number
-
+
102422033024444 = 22719223467943373
BaseRepresentation
bin10111010010011011111100…
…111001010100010110111100
3111102122110011120202100201222
4113102123330321110112330
5101411040310423240234
61001500011000052512
730400514313153230
oct2722337471242674
9442573146670658
10102422033024444
112a6a8a38561771
12b5a20ab764138
13451c482961103
141b41377b605c0
15bc937364942e
hex5d26fce545bc

102422033024444 has 144 divisors (see below), whose sum is σ = 226075760322048. Its totient is φ = 39691629749376.

The previous prime is 102422033024417. The next prime is 102422033024453. The reversal of 102422033024444 is 444420330224201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108098342 + ... + 109041714.

It is an arithmetic number, because the mean of its divisors is an integer number (1569970557792).

Almost surely, 2102422033024444 is an apocalyptic number.

102422033024444 is a gapful number since it is divisible by the number (14) 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 102422033024444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113037880161024).

102422033024444 is an abundant number, since it is smaller than the sum of its proper divisors (123653727297604).

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

102422033024444 is a wasteful number, since it uses less digits than its factorization.

102422033024444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 943912 (or 943891 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 35.

Adding to 102422033024444 its reverse (444420330224201), we get a palindrome (546842363248645).

The spelling of 102422033024444 in words is "one hundred two trillion, four hundred twenty-two billion, thirty-three million, twenty-four thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 19 23 28 38 46 76 92 133 161 266 322 361 437 467 532 644 722 874 934 1444 1748 1868 2527 3059 3269 5054 6118 6538 8303 8873 10108 10741 12236 13076 16606 17746 21482 33212 35492 42964 58121 62111 75187 116242 124222 150374 168587 204079 232484 248444 300748 337174 408158 674348 816316 943373 1180109 1428553 1886746 2360218 2857106 3773492 3877501 4720436 5714212 6603611 7755002 13207222 15510004 17924087 21697579 26414444 27142507 35848174 43395158 54285014 71696348 86790316 108570028 125468609 151883053 250937218 303766106 340557653 412254001 440555191 501874436 607532212 681115306 824508002 881110382 1362230612 1649016004 1762220764 2383903571 2885778007 3083886337 4767807142 5771556014 6167772674 7832826019 8370548629 9535614284 10132769393 11543112028 12335545348 15665652038 16741097258 20265538786 31331304076 33482194516 40531077572 54829782133 58593840403 70929385751 109659564266 117187680806 141858771502 159040423951 192522618467 219319128532 234375361612 283717543004 318080847902 385045236934 636161695804 770090473868 1113282967657 1347658329269 2226565935314 2695316658538 3657929750873 4453131870628 5390633317076 7315859501746 14631719003492 25605508256111 51211016512222 102422033024444