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12144343040 = 21151769763
BaseRepresentation
bin10110100111101101…
…11111100000000000
31011100100201112202222
423103312333200000
5144332422434130
65325023230212
7606643132634
oct132366774000
934310645688
1012144343040
11517218a745
12242b148368
1311b70328cb
14832c72dc4
154b1283ce5
hex2d3dbf800

12144343040 has 96 divisors (see below), whose sum is σ = 30853826640. Its totient is φ = 4571922432.

The previous prime is 12144343037. The next prime is 12144343067. The reversal of 12144343040 is 4034344121.

12144343040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 139199 + ... + 208961.

Almost surely, 212144343040 is an apocalyptic number.

12144343040 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 12144343040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15426913320).

12144343040 is an abundant number, since it is smaller than the sum of its proper divisors (18709483600).

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

12144343040 is an equidigital number, since it uses as much as digits as its factorization.

12144343040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69807 (or 69787 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 12144343040 its reverse (4034344121), we get a palindrome (16178687161).

The spelling of 12144343040 in words is "twelve billion, one hundred forty-four million, three hundred forty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 256 272 320 340 512 544 640 680 1024 1088 1280 1360 2048 2176 2560 2720 4352 5120 5440 8704 10240 10880 17408 21760 34816 43520 69763 87040 139526 174080 279052 348815 558104 697630 1116208 1185971 1395260 2232416 2371942 2790520 4464832 4743884 5581040 5929855 8929664 9487768 11162080 11859710 17859328 18975536 22324160 23719420 35718656 37951072 44648320 47438840 71437312 75902144 89296640 94877680 142874624 151804288 178593280 189755360 303608576 357186560 379510720 607217152 714373120 759021440 1214434304 1518042880 2428868608 3036085760 6072171520 12144343040