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242140440420 = 22335448408223
BaseRepresentation
bin1110000110000010110…
…0011110011101100100
3212011000011221212021000
43201200230132131210
512431400423043140
6303123205553300
723331315532614
oct3414054363544
9764004855230
10242140440420
1193766a6986a
123ab18415830
1319aab97b718
14ba10a64a44
156472d10a30
hex3860b1e764

242140440420 has 48 divisors (see below), whose sum is σ = 753325816320. Its totient is φ = 64570783968.

The previous prime is 242140440413. The next prime is 242140440431. The reversal of 242140440420 is 24044041242.

242140440420 is a `hidden beast` number, since 2 + 4 + 214 + 0 + 440 + 4 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 224203572 + ... + 224204651.

It is an arithmetic number, because the mean of its divisors is an integer number (15694287840).

Almost surely, 2242140440420 is an apocalyptic number.

242140440420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242140440420 is an abundant number, since it is smaller than the sum of its proper divisors (511185375900).

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

242140440420 is a wasteful number, since it uses less digits than its factorization.

242140440420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448408241 (or 448408233 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 242140440420 its reverse (24044041242), we get a palindrome (266184481662).

The spelling of 242140440420 in words is "two hundred forty-two billion, one hundred forty million, four hundred forty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 448408223 896816446 1345224669 1793632892 2242041115 2690449338 4035674007 4484082230 5380898676 6726123345 8071348014 8968164460 12107022021 13452246690 16142696028 20178370035 24214044042 26904493380 40356740070 48428088084 60535110105 80713480140 121070220210 242140440420