Search a number
-
+
12441344520 = 23351129325009
BaseRepresentation
bin10111001011000111…
…11101101000001000
31012010001120210012210
423211203331220020
5200434441011040
65414313105120
7620210453313
oct134543755010
935101523183
1012441344520
1153048a6310
1224b26b81a0
131233720927
148604a597a
154cc39e480
hex2e58fda08

12441344520 has 128 divisors (see below), whose sum is σ = 42121296000. Its totient is φ = 2912071680.

The previous prime is 12441344471. The next prime is 12441344527. The reversal of 12441344520 is 2544314421.

12441344520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (12441344527) 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 31 ways as a sum of consecutive naturals, for example, 124225 + ... + 200784.

It is an arithmetic number, because the mean of its divisors is an integer number (329072625).

Almost surely, 212441344520 is an apocalyptic number.

12441344520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12441344520 is an abundant number, since it is smaller than the sum of its proper divisors (29679951480).

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

12441344520 is a wasteful number, since it uses less digits than its factorization.

12441344520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325063 (or 325059 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 12441344520 its reverse (2544314421), we get a palindrome (14985658941).

The spelling of 12441344520 in words is "twelve billion, four hundred forty-one million, three hundred forty-four thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 29 30 33 40 44 55 58 60 66 87 88 110 116 120 132 145 165 174 220 232 264 290 319 330 348 435 440 580 638 660 696 870 957 1160 1276 1320 1595 1740 1914 2552 3190 3480 3828 4785 6380 7656 9570 12760 19140 38280 325009 650018 975027 1300036 1625045 1950054 2600072 3250090 3575099 3900108 4875135 6500180 7150198 7800216 9425261 9750270 10725297 13000360 14300396 17875495 18850522 19500540 21450594 28275783 28600792 35750990 37701044 39001080 42901188 47126305 53626485 56551566 71501980 75402088 85802376 94252610 103677871 107252970 113103132 141378915 143003960 188505220 207355742 214505940 226206264 282757830 311033613 377010440 414711484 429011880 518389355 565515660 622067226 829422968 1036778710 1131031320 1244134452 1555168065 2073557420 2488268904 3110336130 4147114840 6220672260 12441344520