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24120234112 = 2713132110973
BaseRepresentation
bin10110011101101011…
…011001000010000000
32022020222110211220011
4112131223121002000
5343344234442422
615025232154304
71512502415152
oct263553310200
968228424804
1024120234112
11a258274987
124811998994
1323751a59a0
14124b5b6ad2
15962841077
hex59dad9080

24120234112 has 64 divisors (see below), whose sum is σ = 51792231960. Its totient is φ = 11122974720.

The previous prime is 24120234109. The next prime is 24120234157. The reversal of 24120234112 is 21143202142.

It can be written as a sum of positive squares in 4 ways, for example, as 21991703616 + 2128530496 = 148296^2 + 46136^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2192658 + ... + 2203630.

Almost surely, 224120234112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24120234112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25896115980).

24120234112 is an abundant number, since it is smaller than the sum of its proper divisors (27671997848).

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

24120234112 is a wasteful number, since it uses less digits than its factorization.

24120234112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12321 (or 12309 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 24120234112 its reverse (21143202142), we get a palindrome (45263436254).

The spelling of 24120234112 in words is "twenty-four billion, one hundred twenty million, two hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 832 1321 1664 2642 5284 10568 10973 17173 21136 21946 34346 42272 43892 68692 84544 87784 137384 142649 169088 175568 274768 285298 351136 549536 570596 702272 1099072 1141192 1404544 2198144 2282384 4564768 9129536 14495333 18259072 28990666 57981332 115962664 188439329 231925328 376878658 463850656 753757316 927701312 1507514632 1855402624 3015029264 6030058528 12060117056 24120234112