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23240422442340 = 22325373346148681
BaseRepresentation
bin1010100100011000101010…
…00111111100010101100100
310001021202120222222022001100
411102030111013330111210
511021232341121123330
6121232300325000100
74616031222226065
oct522142507742544
9101252528868040
1023240422442340
117450231657154
122734196553030
13cc774088392c
145a4bb196a56c
152a480b67e060
hex1523151fc564

23240422442340 has 72 divisors (see below), whose sum is σ = 70684945459128. Its totient is φ = 6180830830080.

The previous prime is 23240422442339. The next prime is 23240422442351. The reversal of 23240422442340 is 4324422404232.

23240422442340 is a `hidden beast` number, since 2 + 3 + 2 + 4 + 0 + 4 + 224 + 423 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 43715282724 + 23196707159616 = 209082^2 + 4816296^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 23240422442295 and 23240422442304.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 173007201 + ... + 173141480.

It is an arithmetic number, because the mean of its divisors is an integer number (981735353599).

Almost surely, 223240422442340 is an apocalyptic number.

23240422442340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23240422442340 is an abundant number, since it is smaller than the sum of its proper divisors (47444523016788).

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

23240422442340 is a wasteful number, since it uses less digits than its factorization.

23240422442340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346149069 (or 346149064 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 36.

Adding to 23240422442340 its reverse (4324422404232), we get a palindrome (27564844846572).

The spelling of 23240422442340 in words is "twenty-three trillion, two hundred forty billion, four hundred twenty-two million, four hundred forty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 373 746 1119 1492 1865 2238 3357 3730 4476 5595 6714 7460 11190 13428 16785 22380 33570 67140 346148681 692297362 1038446043 1384594724 1730743405 2076892086 3115338129 3461486810 4153784172 5192230215 6230676258 6922973620 10384460430 12461352516 15576690645 20768920860 31153381290 62306762580 129113458013 258226916026 387340374039 516453832052 645567290065 774680748078 1162021122117 1291134580130 1549361496156 1936701870195 2324042244234 2582269160260 3873403740390 4648084488468 5810105610585 7746807480780 11620211221170 23240422442340