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242017322140 = 225118677126781
BaseRepresentation
bin1110000101100101011…
…0110100010010011100
3212010200121021210201201
43201121112310102130
512431122413302030
6303103051045244
723325262203316
oct3413126642234
9763617253651
10242017322140
1193703518220
123aaa3140824
1319a8c302379
14b9dc5767b6
1564670e12ca
hex38595b449c

242017322140 has 48 divisors (see below), whose sum is σ = 554507954784. Its totient is φ = 87995462400.

The previous prime is 242017322123. The next prime is 242017322161. The reversal of 242017322140 is 41223710242.

242017322140 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 242017322099 and 242017322108.

It is a congruent number.

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, 1845550 + ... + 1972330.

It is an arithmetic number, because the mean of its divisors is an integer number (11552249058).

Almost surely, 2242017322140 is an apocalyptic number.

242017322140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242017322140 is an abundant number, since it is smaller than the sum of its proper divisors (312490632644).

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

242017322140 is a wasteful number, since it uses less digits than its factorization.

242017322140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135478 (or 135476 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The spelling of 242017322140 in words is "two hundred forty-two billion, seventeen million, three hundred twenty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 8677 17354 34708 43385 86770 95447 126781 173540 190894 253562 381788 477235 507124 633905 954470 1267810 1394591 1908940 2535620 2789182 5578364 6972955 13945910 27891820 1100078737 2200157474 4400314948 5500393685 11000787370 12100866107 22001574740 24201732214 48403464428 60504330535 121008661070 242017322140