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142225334400 = 2735214815139
BaseRepresentation
bin1000010001110101001…
…0100110000010000000
3111121002221001120122210
42010131102212002000
54312234141200100
6145200514302120
713163322252462
oct2043522460200
9447087046583
10142225334400
1155354547886
1223692b87940
1310547923b06
146c52dc2132
153a76294c50
hex211d4a6080

142225334400 has 96 divisors (see below), whose sum is σ = 468454726800. Its totient is φ = 37926753280.

The previous prime is 142225334389. The next prime is 142225334443. The reversal of 142225334400 is 4433522241.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 7397970 + ... + 7417169.

Almost surely, 2142225334400 is an apocalyptic number.

142225334400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142225334400 is an abundant number, since it is smaller than the sum of its proper divisors (326229392400).

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

142225334400 is a wasteful number, since it uses less digits than its factorization.

142225334400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14815166 (or 14815149 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 142225334400 its reverse (4433522241), we get a palindrome (146658856641).

The spelling of 142225334400 in words is "one hundred forty-two billion, two hundred twenty-five million, three hundred thirty-four thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 128 150 160 192 200 240 300 320 384 400 480 600 640 800 960 1200 1600 1920 2400 3200 4800 9600 14815139 29630278 44445417 59260556 74075695 88890834 118521112 148151390 177781668 222227085 237042224 296302780 355563336 370378475 444454170 474084448 592605560 711126672 740756950 888908340 948168896 1111135425 1185211120 1422253344 1481513900 1777816680 1896337792 2222270850 2370422240 2844506688 2963027800 3555633360 4444541700 4740844480 5689013376 5926055600 7111266720 8889083400 9481688960 11852111200 14222533440 17778166800 23704222400 28445066880 35556333600 47408444800 71112667200 142225334400