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24420342342 = 231117109199679
BaseRepresentation
bin10110101111100100…
…001101101001000110
32100000220011220222210
4112233210031221012
5400003101423332
615115112404250
71523105325234
oct265744155106
970026156883
1024420342342
11a3a1712710
1248963a6686
1323c2410b16
1412793b7954
1597dd71ecc
hex5af90da46

24420342342 has 64 divisors (see below), whose sum is σ = 56932761600. Its totient is φ = 6900871680.

The previous prime is 24420342329. The next prime is 24420342343. The reversal of 24420342342 is 24324302442.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24420342343) 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, 22459 + ... + 222137.

It is an arithmetic number, because the mean of its divisors is an integer number (889574400).

Almost surely, 224420342342 is an apocalyptic number.

24420342342 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 24420342342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28466380800).

24420342342 is an abundant number, since it is smaller than the sum of its proper divisors (32512419258).

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

24420342342 is a wasteful number, since it uses less digits than its factorization.

24420342342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199821.

The product of its (nonzero) digits is 36864, while the sum is 30.

Adding to 24420342342 its reverse (24324302442), we get a palindrome (48744644784).

The spelling of 24420342342 in words is "twenty-four billion, four hundred twenty million, three hundred forty-two thousand, three hundred forty-two".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 109 187 218 327 374 561 654 1122 1199 1853 2398 3597 3706 5559 7194 11118 20383 40766 61149 122298 199679 399358 599037 1198074 2196469 3394543 4392938 6589407 6789086 10183629 13178814 20367258 21765011 37339973 43530022 65295033 74679946 112019919 130590066 224039838 239415121 370005187 478830242 718245363 740010374 1110015561 1436490726 2220031122 4070057057 8140114114 12210171171 24420342342