Search a number
-
+
12145471840 = 2551719235013
BaseRepresentation
bin10110100111110110…
…10011000101100000
31011100102211220012101
423103323103011200
5144333220044330
65325103340144
7606655543615
oct132373230540
934312756171
1012145471840
115172890837
12242b5b1654
1311b7339638
1483308850c
154b14084ca
hex2d3ed3160

12145471840 has 96 divisors (see below), whose sum is σ = 31980705120. Its totient is φ = 4331741184.

The previous prime is 12145471831. The next prime is 12145471841. The reversal of 12145471840 is 4817454121.

It is a happy number.

12145471840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 12145471840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12145471841) 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 15 ways as a sum of consecutive naturals, for example, 65827 + ... + 169186.

It is an arithmetic number, because the mean of its divisors is an integer number (333132345).

Almost surely, 212145471840 is an apocalyptic number.

12145471840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12145471840 is an abundant number, since it is smaller than the sum of its proper divisors (19835233280).

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

12145471840 is a wasteful number, since it uses less digits than its factorization.

12145471840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235064 (or 235056 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 37.

The spelling of 12145471840 in words is "twelve billion, one hundred forty-five million, four hundred seventy-one thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 17 19 20 32 34 38 40 68 76 80 85 95 136 152 160 170 190 272 304 323 340 380 544 608 646 680 760 1292 1360 1520 1615 2584 2720 3040 3230 5168 6460 10336 12920 25840 51680 235013 470026 940052 1175065 1880104 2350130 3760208 3995221 4465247 4700260 7520416 7990442 8930494 9400520 15980884 17860988 18801040 19976105 22326235 31961768 35721976 37602080 39952210 44652470 63923536 71443952 75909199 79904420 89304940 127847072 142887904 151818398 159808840 178609880 303636796 319617680 357219760 379545995 607273592 639235360 714439520 759091990 1214547184 1518183980 2429094368 3036367960 6072735920 12145471840