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24142543000 = 2353139917257
BaseRepresentation
bin10110011111000000…
…011111100010011000
32022022112110020221021
4112133000133202120
5343420442334000
615031350252224
71513163141512
oct263700374230
968275406837
1024142543000
11a269921984
124819357074
1323799b7004
141250542bb2
1596479b11a
hex59f01f898

24142543000 has 64 divisors (see below), whose sum is σ = 56537208000. Its totient is φ = 9649555200.

The previous prime is 24142542997. The next prime is 24142543091. The reversal of 24142543000 is 34524142.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

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 15 ways as a sum of consecutive naturals, for example, 1390372 + ... + 1407628.

It is an arithmetic number, because the mean of its divisors is an integer number (883393875).

Almost surely, 224142543000 is an apocalyptic number.

24142543000 is a gapful number since it is divisible by the number (20) 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 24142543000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28268604000).

24142543000 is an abundant number, since it is smaller than the sum of its proper divisors (32394665000).

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

24142543000 is a wasteful number, since it uses less digits than its factorization.

24142543000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18677 (or 18663 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The spelling of 24142543000 in words is "twenty-four billion, one hundred forty-two million, five hundred forty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 1399 2798 5596 6995 11192 13990 17257 27980 34514 34975 55960 69028 69950 86285 138056 139900 172570 174875 279800 345140 349750 431425 690280 699500 862850 1399000 1725700 2157125 3451400 4314250 8628500 17257000 24142543 48285086 96570172 120712715 193140344 241425430 482850860 603563575 965701720 1207127150 2414254300 3017817875 4828508600 6035635750 12071271500 24142543000