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234142411300 = 22527334489159
BaseRepresentation
bin1101101000001111111…
…0011010101000100100
3211101100210020212220021
43122003332122220210
512314010424130200
6255321420244524
722626160441510
oct3320376325044
9741323225807
10234142411300
1190332318146
12394659a0744
1319105978705
14b492751140
156155aa441a
hex3683f9aa24

234142411300 has 36 divisors (see below), whose sum is σ = 580673181760. Its totient is φ = 80277397920.

The previous prime is 234142411291. The next prime is 234142411301. The reversal of 234142411300 is 3114241432.

234142411300 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (234142411301) 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 11 ways as a sum of consecutive naturals, for example, 167243880 + ... + 167245279.

Almost surely, 2234142411300 is an apocalyptic number.

234142411300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234142411300 is an abundant number, since it is smaller than the sum of its proper divisors (346530770460).

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

234142411300 is a wasteful number, since it uses less digits than its factorization.

234142411300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334489180 (or 334489173 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 234142411300 its reverse (3114241432), we get a palindrome (237256652732).

The spelling of 234142411300 in words is "two hundred thirty-four billion, one hundred forty-two million, four hundred eleven thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 334489159 668978318 1337956636 1672445795 2341424113 3344891590 4682848226 6689783180 8362228975 9365696452 11707120565 16724457950 23414241130 33448915900 46828482260 58535602825 117071205650 234142411300