Search a number
-
+
12411044000 = 255325712073
BaseRepresentation
bin10111000111100000…
…11000000010100000
31012000221120100201022
423203300120002200
5200404211402000
65411311425012
7616362063515
oct134360300240
935027510638
1012411044000
115299790063
1224a4525168
13122a371c24
1485a45930c
154c98b6585
hex2e3c180a0

12411044000 has 96 divisors (see below), whose sum is σ = 30615124176. Its totient is φ = 4944691200.

The previous prime is 12411043999. The next prime is 12411044003. The reversal of 12411044000 is 44011421.

It can be written as a sum of positive squares in 8 ways, for example, as 434805904 + 11976238096 = 20852^2 + 109436^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12411044000.

It is not an unprimeable number, because it can be changed into a prime (12411044003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1021964 + ... + 1034036.

Almost surely, 212411044000 is an apocalyptic number.

12411044000 is a gapful number since it is divisible by the number (10) 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 12411044000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15307562088).

12411044000 is an abundant number, since it is smaller than the sum of its proper divisors (18204080176).

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

12411044000 is a wasteful number, since it uses less digits than its factorization.

12411044000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12355 (or 12337 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 12411044000 its reverse (44011421), we get a palindrome (12455055421).

The spelling of 12411044000 in words is "twelve billion, four hundred eleven million, forty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 257 400 500 514 800 1000 1028 1285 2000 2056 2570 4000 4112 5140 6425 8224 10280 12073 12850 20560 24146 25700 32125 41120 48292 51400 60365 64250 96584 102800 120730 128500 193168 205600 241460 257000 301825 386336 482920 514000 603650 965840 1028000 1207300 1509125 1931680 2414600 3018250 3102761 4829200 6036500 6205522 9658400 12073000 12411044 15513805 24146000 24822088 31027610 48292000 49644176 62055220 77569025 99288352 124110440 155138050 248220880 310276100 387845125 496441760 620552200 775690250 1241104400 1551380500 2482208800 3102761000 6205522000 12411044000