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242512220120240 = 24571922792501891
BaseRepresentation
bin110111001001000001000110…
…101110111110010010110000
31011210122221102120221001122102
4313021001012232332102300
5223241310011322321430
62215440324221355532
7102036633614146550
oct6711010656762260
91153587376831572
10242512220120240
11702a9944a82924
12232485aba08ba8
13a541a5bb80645
1443c5922b2d160
151d0847561d345
hexdc9046bbe4b0

242512220120240 has 80 divisors (see below), whose sum is σ = 678304856305920. Its totient is φ = 78770886531840.

The previous prime is 242512220120231. The next prime is 242512220120257. The reversal of 242512220120240 is 42021022215242.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11396240306 + ... + 11396261585.

It is an arithmetic number, because the mean of its divisors is an integer number (8478810703824).

Almost surely, 2242512220120240 is an apocalyptic number.

242512220120240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242512220120240 is an abundant number, since it is smaller than the sum of its proper divisors (435792636185680).

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

242512220120240 is a wasteful number, since it uses less digits than its factorization.

242512220120240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22792501930 (or 22792501924 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 29.

Adding to 242512220120240 its reverse (42021022215242), we get a palindrome (284533242335482).

The spelling of 242512220120240 in words is "two hundred forty-two trillion, five hundred twelve billion, two hundred twenty million, one hundred twenty thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 35 38 40 56 70 76 80 95 112 133 140 152 190 266 280 304 380 532 560 665 760 1064 1330 1520 2128 2660 5320 10640 22792501891 45585003782 91170007564 113962509455 159547513237 182340015128 227925018910 319095026474 364680030256 433057535929 455850037820 638190052948 797737566185 866115071858 911700075640 1276380105896 1595475132370 1732230143716 1823400151280 2165287679645 2552760211792 3031402751503 3190950264740 3464460287432 4330575359290 6062805503006 6381900529480 6928920574864 8661150718580 12125611006012 12763801058960 15157013757515 17322301437160 24251222012024 30314027515030 34644602874320 48502444024048 60628055030060 121256110060120 242512220120240