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1345022242524 = 2233107633718367
BaseRepresentation
bin10011100100101001100…
…100101010111011011100
311202120201220122100022000
4103210221210222323130
5134014101143230044
62505521130322300
7166113622265562
oct23445144527334
94676656570260
101345022242524
11479469a9a394
12198811289390
1399ab17c562c
1449156b67a32
1524ec17a8d69
hex1392992aedc

1345022242524 has 96 divisors (see below), whose sum is σ = 3520431452160. Its totient is φ = 444056380416.

The previous prime is 1345022242489. The next prime is 1345022242547. The reversal of 1345022242524 is 4252422205431.

1345022242524 is a `hidden beast` number, since 1 + 3 + 4 + 5 + 0 + 222 + 425 + 2 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73221189 + ... + 73239555.

It is an arithmetic number, because the mean of its divisors is an integer number (36671160960).

Almost surely, 21345022242524 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 1345022242524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1760215726080).

1345022242524 is an abundant number, since it is smaller than the sum of its proper divisors (2175409209636).

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

1345022242524 is a wasteful number, since it uses less digits than its factorization.

1345022242524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24824 (or 24816 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

Adding to 1345022242524 its reverse (4252422205431), we get a palindrome (5597444447955).

The spelling of 1345022242524 in words is "one trillion, three hundred forty-five billion, twenty-two million, two hundred forty-two thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 107 108 214 321 428 642 963 1284 1926 2889 3852 5778 6337 11556 12674 18367 19011 25348 36734 38022 55101 57033 73468 76044 110202 114066 165303 171099 220404 228132 330606 342198 495909 661212 678059 684396 991818 1356118 1965269 1983636 2034177 2712236 3930538 4068354 5895807 6102531 7861076 8136708 11791614 12205062 17687421 18307593 23583228 24410124 35374842 36615186 53062263 70749684 73230372 106124526 116391679 212249052 232783358 349175037 465566716 698350074 1047525111 1396700148 2095050222 3142575333 4190100444 6285150666 12453909653 12570301332 24907819306 37361728959 49815638612 74723457918 112085186877 149446915836 224170373754 336255560631 448340747508 672511121262 1345022242524