Search a number
-
+
24144632080 = 2452910407169
BaseRepresentation
bin10110011111001000…
…011101100100010000
32022022200101101121121
4112133020131210100
5343422011211310
615031503132024
71513216662232
oct263710354420
968280341547
1024144632080
11a270019498
124819ba4014
13237a268b5a
141250928252
15964a600da
hex59f21d910

24144632080 has 40 divisors (see below), whose sum is σ = 58072008600. Its totient is φ = 9324822528.

The previous prime is 24144631999. The next prime is 24144632093. The reversal of 24144632080 is 8023644142.

It can be written as a sum of positive squares in 4 ways, for example, as 12873744 + 24131758336 = 3588^2 + 155344^2 .

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

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, 5201265 + ... + 5205904.

It is an arithmetic number, because the mean of its divisors is an integer number (1451800215).

Almost surely, 224144632080 is an apocalyptic number.

24144632080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24144632080 is an abundant number, since it is smaller than the sum of its proper divisors (33927376520).

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

24144632080 is a wasteful number, since it uses less digits than its factorization.

24144632080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10407211 (or 10407205 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

The spelling of 24144632080 in words is "twenty-four billion, one hundred forty-four million, six hundred thirty-two thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 2320 10407169 20814338 41628676 52035845 83257352 104071690 166514704 208143380 301807901 416286760 603615802 832573520 1207231604 1509039505 2414463208 3018079010 4828926416 6036158020 12072316040 24144632080