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234142210440 = 23335216798343
BaseRepresentation
bin1101101000001111110…
…1101001100110001000
3211101100202212200101000
43122003331221212020
512314010401213230
6255321412055000
722626155644065
oct3320375514610
9741322780330
10234142210440
11903321a0246
1239465904460
1319105908168
14b4926dbc6c
156155a64b60
hex3683f69988

234142210440 has 64 divisors (see below), whose sum is σ = 780474038400. Its totient is φ = 62437922496.

The previous prime is 234142210433. The next prime is 234142210447. The reversal of 234142210440 is 44012241432.

234142210440 is a `hidden beast` number, since 2 + 3 + 4 + 1 + 4 + 2 + 210 + 440 = 666.

234142210440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (234142210433) and next prime (234142210447).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (234142210447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108398092 + ... + 108400251.

It is an arithmetic number, because the mean of its divisors is an integer number (12194906850).

Almost surely, 2234142210440 is an apocalyptic number.

234142210440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234142210440 is an abundant number, since it is smaller than the sum of its proper divisors (546331827960).

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

234142210440 is a wasteful number, since it uses less digits than its factorization.

234142210440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216798363 (or 216798353 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 234142210440 its reverse (44012241432), we get a palindrome (278154451872).

The spelling of 234142210440 in words is "two hundred thirty-four billion, one hundred forty-two million, two hundred ten thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 216798343 433596686 650395029 867193372 1083991715 1300790058 1734386744 1951185087 2167983430 2601580116 3251975145 3902370174 4335966860 5203160232 5853555261 6503950290 7804740348 8671933720 9755925435 11707110522 13007900580 15609480696 19511850870 23414221044 26015801160 29267776305 39023701740 46828442088 58535552610 78047403480 117071105220 234142210440