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24241022014242 = 23111733764110353
BaseRepresentation
bin1011000001100000011011…
…00000011001001100100010
310011211102022111121010120010
411200300031200121030202
511134131103113423432
6123320101034225350
75051233060242135
oct540601540311442
9104742274533503
1024241022014242
1177a6617a68310
1228760a5285256
13106abc3128237
145db3b388821c
152c087087b3cc
hex160c0d819322

24241022014242 has 64 divisors (see below), whose sum is σ = 56166824697984. Its totient is φ = 6893145047040.

The previous prime is 24241022014229. The next prime is 24241022014243.

24241022014242 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (24241022014243) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31677063 + ... + 32433290.

It is an arithmetic number, because the mean of its divisors is an integer number (877606635906).

Almost surely, 224241022014242 is an apocalyptic number.

24241022014242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

24241022014242 is an abundant number, since it is smaller than the sum of its proper divisors (31925802683742).

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

24241022014242 is a wasteful number, since it uses less digits than its factorization.

24241022014242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64110723.

The product of its (nonzero) digits is 16384, while the sum is 30.

It can be divided in two parts, 2424102 and 2014242, that added together give a palindrome (4438344).

The spelling of 24241022014242 in words is "twenty-four trillion, two hundred forty-one billion, twenty-two million, fourteen thousand, two hundred forty-two".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 187 337 374 561 674 1011 1122 2022 3707 5729 7414 11121 11458 17187 22242 34374 63019 126038 189057 378114 64110353 128220706 192331059 384662118 705213883 1089876001 1410427766 2115641649 2179752002 3269628003 4231283298 6539256006 11988636011 21605188961 23977272022 35965908033 43210377922 64815566883 71931816066 129631133766 237657078571 367288212337 475314157142 712971235713 734576424674 1101864637011 1425942471426 2203729274022 4040170335707 8080340671414 12120511007121 24241022014242