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42524222242524 = 22311237898893609
BaseRepresentation
bin10011010101100111100010…
…01010010011111011011100
312120120021110011101222122120
421222303301022103323130
521033204101343230044
6230235205155142540
711646162604065141
oct1152636112237334
9176507404358576
1042524222242524
111260546a940700
12492958bba4a50
131a9602b31a289
14a7027d11a3c8
154db2450bd519
hex26acf1293edc

42524222242524 has 144 divisors (see below), whose sum is σ = 113269728448800. Its totient is φ = 12396978063360.

The previous prime is 42524222242457. The next prime is 42524222242553.

42524222242524 is nontrivially palindromic in base 10.

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, 334632 + ... + 9228240.

It is an arithmetic number, because the mean of its divisors is an integer number (786595336450).

Almost surely, 242524222242524 is an apocalyptic number.

42524222242524 is a gapful number since it is divisible by the number (44) 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 42524222242524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56634864224400).

42524222242524 is an abundant number, since it is smaller than the sum of its proper divisors (70745506206276).

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

42524222242524 is a wasteful number, since it uses less digits than its factorization.

42524222242524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8893764 (or 8893751 counting only the distinct ones).

The product of its digits is 1638400, while the sum is 42.

It can be divided in two parts, 4252422 and 2242524, that added together give a palindrome (6494946).

The spelling of 42524222242524 in words is "forty-two trillion, five hundred twenty-four billion, two hundred twenty-two million, two hundred forty-two thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 74 89 111 121 132 148 178 222 242 267 356 363 407 444 484 534 726 814 979 1068 1221 1452 1628 1958 2442 2937 3293 3916 4477 4884 5874 6586 8954 9879 10769 11748 13172 13431 17908 19758 21538 26862 32307 36223 39516 43076 53724 64614 72446 108669 129228 144892 217338 398453 434676 796906 1195359 1593812 2390718 4781436 8893609 17787218 26680827 35574436 53361654 97829699 106723308 195659398 293489097 329063533 391318796 586978194 658127066 791531201 987190599 1076126689 1173956388 1316254132 1583062402 1974381198 2152253378 2374593603 3166124804 3228380067 3619698863 3948762396 4304506756 4749187206 6456760134 7239397726 8706843211 9498374412 10859096589 12913520268 14478795452 17413686422 21718193178 26120529633 29286654437 34827372844 39816687493 43436386356 52241059266 58573308874 79633374986 87859963311 95775275321 104482118532 117146617748 119450062479 159266749972 175719926622 191550550642 238900124958 287325825963 322153198807 351439853244 383101101284 477800249916 574651651926 644306397614 966459596421 1149303303852 1288612795228 1932919192842 3543685186877 3865838385684 7087370373754 10631055560631 14174740747508 21262111121262 42524222242524