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40344000012200 = 2352533806037737
BaseRepresentation
bin10010010110001010100011…
…10010100001111110101000
312021211211220201122020202002
421023011101302201332220
520241444003000342300
6221445435554230132
711332520633644133
oct1113052162417650
9167754821566662
1040344000012200
1111944881271815
124636b2bb85348
1319685660a2a41
149d693514321a
1549e69013b5d5
hex24b151ca1fa8

40344000012200 has 48 divisors (see below), whose sum is σ = 95569607601180. Its totient is φ = 15833116981760.

The previous prime is 40344000012181. The next prime is 40344000012257. The reversal of 40344000012200 is 221000044304.

It can be written as a sum of positive squares in 6 ways, for example, as 32769648372484 + 7574351639716 = 5724478^2 + 2752154^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1903008269 + ... + 1903029468.

Almost surely, 240344000012200 is an apocalyptic number.

40344000012200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40344000012200 is an abundant number, since it is smaller than the sum of its proper divisors (55225607588980).

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

40344000012200 is a wasteful number, since it uses less digits than its factorization.

40344000012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3806037806 (or 3806037797 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 40344000012200 its reverse (221000044304), we get a palindrome (40565000056504).

The spelling of 40344000012200 in words is "forty trillion, three hundred forty-four billion, twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 53 100 106 200 212 265 424 530 1060 1325 2120 2650 5300 10600 3806037737 7612075474 15224150948 19030188685 30448301896 38060377370 76120754740 95150943425 152241509480 190301886850 201720000061 380603773700 403440000122 761207547400 806880000244 1008600000305 1613760000488 2017200000610 4034400001220 5043000001525 8068800002440 10086000003050 20172000006100 40344000012200