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242210340240 = 24351191746341
BaseRepresentation
bin1110000110010011011…
…1000111110110010000
3212011012001111010210020
43201210313013312100
512432021321341430
6303134144103440
723333124631311
oct3414467076620
9764161433706
10242210340240
11937a2471610
123ab37904b80
1319ac02b376b
14ba1a05c608
15647901bb10
hex3864dc7d90

242210340240 has 80 divisors (see below), whose sum is σ = 819111341376. Its totient is φ = 58717657600.

The previous prime is 242210340227. The next prime is 242210340287. The reversal of 242210340240 is 42043012242.

242210340240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 242210340240.

It is an unprimeable number.

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, 45870531 + ... + 45875810.

Almost surely, 2242210340240 is an apocalyptic number.

242210340240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242210340240 is an abundant number, since it is smaller than the sum of its proper divisors (576901001136).

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

242210340240 is a wasteful number, since it uses less digits than its factorization.

242210340240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91746368 (or 91746362 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 242210340240 its reverse (42043012242), we get a palindrome (284253352482).

The spelling of 242210340240 in words is "two hundred forty-two billion, two hundred ten million, three hundred forty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 91746341 183492682 275239023 366985364 458731705 550478046 733970728 917463410 1009209751 1100956092 1376195115 1467941456 1834926820 2018419502 2201912184 2752390230 3027629253 3669853640 4036839004 4403824368 5046048755 5504780460 6055258506 7339707280 8073678008 10092097510 11009560920 12110517012 15138146265 16147356016 20184195020 22019121840 24221034024 30276292530 40368390040 48442068048 60552585060 80736780080 121105170120 242210340240