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24340221342332 = 22724311443252383
BaseRepresentation
bin1011000100011001001100…
…01111110011001001111100
310012011220100212122010102122
411202030212033303021330
511142242233130423312
6123433424320142112
75061344242515200
oct542144617631174
9105156325563378
1024340221342332
1178346a2443795
12289136aa67938
131077371aaaccc
14602104446b00
152c3229659b72
hex1623263f327c

24340221342332 has 72 divisors (see below), whose sum is σ = 50706687499776. Its totient is φ = 10187999089632.

The previous prime is 24340221342329. The next prime is 24340221342347. The reversal of 24340221342332 is 23324312204342.

It is a junction number, because it is equal to n+sod(n) for n = 24340221342292 and 24340221342301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96315413 + ... + 96567795.

It is an arithmetic number, because the mean of its divisors is an integer number (704259548608).

Almost surely, 224340221342332 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 24340221342332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25353343749888).

24340221342332 is an abundant number, since it is smaller than the sum of its proper divisors (26366466157444).

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

24340221342332 is a wasteful number, since it uses less digits than its factorization.

24340221342332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263887 (or 263878 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 35.

Adding to 24340221342332 its reverse (23324312204342), we get a palindrome (47664533546674).

The spelling of 24340221342332 in words is "twenty-four trillion, three hundred forty billion, two hundred twenty-one million, three hundred forty-two thousand, three hundred thirty-two".

Divisors: 1 2 4 7 14 28 43 49 86 98 172 196 301 602 1204 2107 4214 8428 11443 22886 45772 80101 160202 252383 320404 492049 504766 560707 984098 1009532 1121414 1766681 1968196 2242828 3444343 3533362 6888686 7066724 10852469 12366767 13777372 21704938 24110401 24733534 43409876 48220802 49467068 75967283 96441604 151934566 303869132 531770981 1063541962 2127083924 2888018669 5776037338 11552074676 20216130683 40432261366 80864522732 124184802767 141512914781 248369605534 283025829562 496739211068 566051659124 869293619369 1738587238738 3477174477476 6085055335583 12170110671166 24340221342332