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142341422200 = 235219127294947
BaseRepresentation
bin1000010010010000110…
…1011011110001111000
3111121102000111110011221
42010210031123301320
54313003401002300
6145220222401424
713166232061045
oct2044415336170
9447360443157
10142341422200
115540402730a
1223705a30274
13105659ab113
146c645a01cc
153a8157631a
hex212435bc78

142341422200 has 96 divisors (see below), whose sum is σ = 351106099200. Its totient is φ = 53515002240.

The previous prime is 142341422191. The next prime is 142341422207. The reversal of 142341422200 is 2224143241.

It is a super-2 number, since 2×1423414222002 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142341422207) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 335127 + ... + 630073.

It is an arithmetic number, because the mean of its divisors is an integer number (3657355200).

Almost surely, 2142341422200 is an apocalyptic number.

142341422200 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 142341422200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175553049600).

142341422200 is an abundant number, since it is smaller than the sum of its proper divisors (208764677000).

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

142341422200 is a wasteful number, since it uses less digits than its factorization.

142341422200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295109 (or 295100 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 142341422200 its reverse (2224143241), we get a palindrome (144565565441).

The spelling of 142341422200 in words is "one hundred forty-two billion, three hundred forty-one million, four hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 127 152 190 200 254 380 475 508 635 760 950 1016 1270 1900 2413 2540 3175 3800 4826 5080 6350 9652 12065 12700 19304 24130 25400 48260 60325 96520 120650 241300 294947 482600 589894 1179788 1474735 2359576 2949470 5603993 5898940 7373675 11207986 11797880 14747350 22415972 28019965 29494700 37458269 44831944 56039930 58989400 74916538 112079860 140099825 149833076 187291345 224159720 280199650 299666152 374582690 560399300 711707111 749165380 936456725 1120798600 1423414222 1498330760 1872913450 2846828444 3558535555 3745826900 5693656888 7117071110 7491653800 14234142220 17792677775 28468284440 35585355550 71170711100 142341422200