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242414044120 = 23515533902351
BaseRepresentation
bin1110000111000100000…
…0001100001111011000
3212011201020210100222101
43201301000030033120
512432430443402440
6303210302133144
723341150243213
oct3416100141730
9764636710871
10242414044120
1193897454326
123ab93b811b4
1319b235668c1
14ba3912677a
15648bd5869a
hex387100c3d8

242414044120 has 32 divisors (see below), whose sum is σ = 545782950720. Its totient is φ = 96903155200.

The previous prime is 242414044109. The next prime is 242414044133. The reversal of 242414044120 is 21440414242.

It is a happy number.

242414044120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2424140441202 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1889056 + ... + 2013295.

It is an arithmetic number, because the mean of its divisors is an integer number (17055717210).

Almost surely, 2242414044120 is an apocalyptic number.

242414044120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242414044120 is an abundant number, since it is smaller than the sum of its proper divisors (303368906600).

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

242414044120 is a wasteful number, since it uses less digits than its factorization.

242414044120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3903915 (or 3903911 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 242414044120 its reverse (21440414242), we get a palindrome (263854458362).

The spelling of 242414044120 in words is "two hundred forty-two billion, four hundred fourteen million, forty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 1553 3106 6212 7765 12424 15530 31060 62120 3902351 7804702 15609404 19511755 31218808 39023510 78047020 156094040 6060351103 12120702206 24241404412 30301755515 48482808824 60603511030 121207022060 242414044120