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24335066140 = 225711137115343
BaseRepresentation
bin10110101010011110…
…111010010000011100
32022210221201110000221
4112222132322100130
5344314234104030
615102424531124
71521021435460
oct265236722034
968727643027
1024335066140
11a358568410
124871920aa4
1323aa854028
14126bd3a4a0
15976629e7a
hex5aa7ba41c

24335066140 has 96 divisors (see below), whose sum is σ = 64179247104. Its totient is φ = 7529525760.

The previous prime is 24335066087. The next prime is 24335066207. The reversal of 24335066140 is 4166053342.

It is a super-3 number, since 3×243350661403 (a number of 32 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 24335066096 and 24335066105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 153309 + ... + 268651.

It is an arithmetic number, because the mean of its divisors is an integer number (668533824).

Almost surely, 224335066140 is an apocalyptic number.

24335066140 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 24335066140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32089623552).

24335066140 is an abundant number, since it is smaller than the sum of its proper divisors (39844180964).

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

24335066140 is a wasteful number, since it uses less digits than its factorization.

24335066140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115507 (or 115505 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 34.

The spelling of 24335066140 in words is "twenty-four billion, three hundred thirty-five million, sixty-six thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 137 140 154 220 274 308 385 548 685 770 959 1370 1507 1540 1918 2740 3014 3836 4795 6028 7535 9590 10549 15070 19180 21098 30140 42196 52745 105490 115343 210980 230686 461372 576715 807401 1153430 1268773 1614802 2306860 2537546 3229604 4037005 5075092 6343865 8074010 8881411 12687730 15801991 16148020 17762822 25375460 31603982 35525644 44407055 63207964 79009955 88814110 110613937 158019910 173821901 177628220 221227874 316039820 347643802 442455748 553069685 695287604 869109505 1106139370 1216753307 1738219010 2212278740 2433506614 3476438020 4867013228 6083766535 12167533070 24335066140