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12145403040 = 253525302923
BaseRepresentation
bin10110100111110110…
…00010010010100000
31011100102201101211020
423103323002102200
5144333210344130
65325102045440
7606655136211
oct132373022240
934312641736
1012145403040
115172844081
12242b579880
1311b7314224
1483306b408
154b13e2e10
hex2d3ec24a0

12145403040 has 48 divisors (see below), whose sum is σ = 38258021088. Its totient is φ = 3238774016.

The previous prime is 12145402979. The next prime is 12145403047. The reversal of 12145403040 is 4030454121.

12145403040 = T23211 + T23212 + ... + T23255.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12145403040.

It is not an unprimeable number, because it can be changed into a prime (12145403047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12650982 + ... + 12651941.

It is an arithmetic number, because the mean of its divisors is an integer number (797042106).

Almost surely, 212145403040 is an apocalyptic number.

12145403040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12145403040 is an abundant number, since it is smaller than the sum of its proper divisors (26112618048).

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

12145403040 is a wasteful number, since it uses less digits than its factorization.

12145403040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25302941 (or 25302933 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 12145403040 its reverse (4030454121), we get a palindrome (16175857161).

It can be divided in two parts, 1214540 and 3040, that added together give a triangular number (1217580 = T1560).

The spelling of 12145403040 in words is "twelve billion, one hundred forty-five million, four hundred three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 25302923 50605846 75908769 101211692 126514615 151817538 202423384 253029230 303635076 379543845 404846768 506058460 607270152 759087690 809693536 1012116920 1214540304 1518175380 2024233840 2429080608 3036350760 4048467680 6072701520 12145403040