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24213244231242 = 23211809151160831
BaseRepresentation
bin1011000000101100101011…
…10100100011111001001010
310011201202121121210112211100
411200112111310203321022
511133202211010344432
6123255224424042230
75046230523054063
oct540262564437112
9104652547715740
1024213244231242
117795863148860
122870832603376
1310683b7273051
145d9cda62156a
152bec96dac07c
hex160595d23e4a

24213244231242 has 48 divisors (see below), whose sum is σ = 57302048194560. Its totient is φ = 7328277038400.

The previous prime is 24213244231217. The next prime is 24213244231243.

24213244231242 is a `hidden beast` number, since 2 + 4 + 21 + 324 + 42 + 31 + 242 = 666.

24213244231242 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 24213244231197 and 24213244231206.

It is not an unprimeable number, because it can be changed into a prime (24213244231243) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75420234 + ... + 75740597.

It is an arithmetic number, because the mean of its divisors is an integer number (1193792670720).

Almost surely, 224213244231242 is an apocalyptic number.

24213244231242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

24213244231242 is an abundant number, since it is smaller than the sum of its proper divisors (33088803963318).

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

24213244231242 is a wasteful number, since it uses less digits than its factorization.

24213244231242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151161659 (or 151161656 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

It can be divided in two parts, 2421324 and 4231242, that added together give a palindrome (6652566).

The spelling of 24213244231242 in words is "twenty-four trillion, two hundred thirteen billion, two hundred forty-four million, two hundred thirty-one thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 809 1618 2427 4854 7281 8899 14562 17798 26697 53394 80091 160182 151160831 302321662 453482493 906964986 1360447479 1662769141 2720894958 3325538282 4988307423 9976614846 14964922269 29929844538 122289112279 244578224558 366867336837 733734673674 1100602010511 1345180235069 2201204021022 2690360470138 4035540705207 8071081410414 12106622115621 24213244231242