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24144113040 = 2435100600471
BaseRepresentation
bin10110011111000110…
…011110110110010000
32022022122102000121220
4112133012132312100
5343421343104130
615031444045040
71513212401055
oct263706366620
968278360556
1024144113040
11a26a7a4533
124819993780
13237a116828
14125083102c
159649ab410
hex59f19ed90

24144113040 has 40 divisors (see below), whose sum is σ = 74846751168. Its totient is φ = 6438430080.

The previous prime is 24144113039. The next prime is 24144113047. The reversal of 24144113040 is 4031144142.

It is a tau number, because it is divible by the number of its divisors (40).

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

It is a self number, because there is not a number n which added to its sum of digits gives 24144113040.

It is not an unprimeable number, because it can be changed into a prime (24144113047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50299996 + ... + 50300475.

Almost surely, 224144113040 is an apocalyptic number.

24144113040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24144113040 is an abundant number, since it is smaller than the sum of its proper divisors (50702638128).

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

24144113040 is a wasteful number, since it uses less digits than its factorization.

24144113040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100600487 (or 100600481 counting only the distinct ones).

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

Adding to 24144113040 its reverse (4031144142), we get a palindrome (28175257182).

The spelling of 24144113040 in words is "twenty-four billion, one hundred forty-four million, one hundred thirteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 100600471 201200942 301801413 402401884 503002355 603602826 804803768 1006004710 1207205652 1509007065 1609607536 2012009420 2414411304 3018014130 4024018840 4828822608 6036028260 8048037680 12072056520 24144113040