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24134430040 = 2357194536547
BaseRepresentation
bin10110011110100001…
…100010110101011000
32022021222012002001021
4112132201202311120
5343411403230130
615030500332224
71513034161540
oct263641426530
968258162037
1024134430040
11a265290556
1248166a4074
132378106346
14124d430320
15963be737a
hex59e862d58

24134430040 has 64 divisors (see below), whose sum is σ = 65326291200. Its totient is φ = 7839151488.

The previous prime is 24134430037. The next prime is 24134430049. The reversal of 24134430040 is 4003443142.

It is a junction number, because it is equal to n+sod(n) for n = 24134429987 and 24134430014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24134430049) by changing a digit.

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, 2262954 + ... + 2273593.

It is an arithmetic number, because the mean of its divisors is an integer number (1020723300).

Almost surely, 224134430040 is an apocalyptic number.

24134430040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24134430040 is an abundant number, since it is smaller than the sum of its proper divisors (41191861160).

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

24134430040 is a wasteful number, since it uses less digits than its factorization.

24134430040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4536584 (or 4536580 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 24134430040 its reverse (4003443142), we get a palindrome (28137873182).

The spelling of 24134430040 in words is "twenty-four billion, one hundred thirty-four million, four hundred thirty thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 56 70 76 95 133 140 152 190 266 280 380 532 665 760 1064 1330 2660 5320 4536547 9073094 18146188 22682735 31755829 36292376 45365470 63511658 86194393 90730940 127023316 158779145 172388786 181461880 254046632 317558290 344777572 430971965 603360751 635116580 689555144 861943930 1206721502 1270233160 1723887860 2413443004 3016803755 3447775720 4826886008 6033607510 12067215020 24134430040