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24023141142 = 237111353163463
BaseRepresentation
bin10110010111111001…
…000000101100010110
32022000012210000101020
4112113321000230112
5343144411004032
615011443142010
71510213221240
oct262771005426
968005700336
1024023141142
11a208489560
1247a5374906
13235b03c420
14123c741090
15959062b2c
hex597e40b16

24023141142 has 256 divisors, whose sum is σ = 66272919552. Its totient is φ = 5604318720.

The previous prime is 24023141137. The next prime is 24023141179. The reversal of 24023141142 is 24114132042.

It is a super-2 number, since 2×240231411422 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 51885603 + ... + 51886065.

It is an arithmetic number, because the mean of its divisors is an integer number (258878592).

Almost surely, 224023141142 is an apocalyptic number.

24023141142 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 24023141142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33136459776).

24023141142 is an abundant number, since it is smaller than the sum of its proper divisors (42249778410).

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

24023141142 is a wasteful number, since it uses less digits than its factorization.

24023141142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 24023141142 its reverse (24114132042), we get a palindrome (48137273184).

The spelling of 24023141142 in words is "twenty-four billion, twenty-three million, one hundred forty-one thousand, one hundred forty-two".