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24330242112 = 2631143267907
BaseRepresentation
bin10110101010001100…
…100000100001000000
32022210121122100201020
4112222030200201000
5344312020221422
615102133305440
71520632434321
oct265214404100
968717570636
1024330242112
11a355873010
124870195280
1323a9855387
14126b442448
15975ec595c
hex5aa320840

24330242112 has 112 divisors (see below), whose sum is σ = 71859355392. Its totient is φ = 7201313280.

The previous prime is 24330242071. The next prime is 24330242147. The reversal of 24330242112 is 21124203342.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43138 + ... + 224769.

Almost surely, 224330242112 is an apocalyptic number.

24330242112 is a gapful number since it is divisible by the number (22) 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 24330242112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35929677696).

24330242112 is an abundant number, since it is smaller than the sum of its proper divisors (47529113280).

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

24330242112 is a wasteful number, since it uses less digits than its factorization.

24330242112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267976 (or 267966 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 24330242112 its reverse (21124203342), we get a palindrome (45454445454).

The spelling of 24330242112 in words is "twenty-four billion, three hundred thirty million, two hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 43 44 48 64 66 86 88 96 129 132 172 176 192 258 264 344 352 473 516 528 688 704 946 1032 1056 1376 1419 1892 2064 2112 2752 2838 3784 4128 5676 7568 8256 11352 15136 22704 30272 45408 90816 267907 535814 803721 1071628 1607442 2143256 2946977 3214884 4286512 5893954 6429768 8573024 8840931 11520001 11787908 12859536 17146048 17681862 23040002 23575816 25719072 34560003 35363724 46080004 47151632 51438144 69120006 70727448 92160008 94303264 126720011 138240012 141454896 184320016 188606528 253440022 276480024 282909792 368640032 380160033 506880044 552960048 565819584 737280064 760320066 1013760088 1105920096 1520640132 2027520176 2211840192 3041280264 4055040352 6082560528 8110080704 12165121056 24330242112