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240343422042141 = 34111992477547237
BaseRepresentation
bin110110101001011101010000…
…010010111000000000011101
31011111222121101022201101110000
4312221131100102320000131
5223000241312020322031
62211100124400004513
7101424145023515025
oct6651352022700035
91144877338641400
10240343422042141
116a643089003660
1222b581b9900739
13a4153976aa3b2
14434c9800b6a85
151cbbd3d5b03e6
hexda97504b801d

240343422042141 has 80 divisors (see below), whose sum is σ = 393798593865600. Its totient is φ = 144871931445120.

The previous prime is 240343422042083. The next prime is 240343422042169. The reversal of 240343422042141 is 141240224343042.

240343422042141 is a `hidden beast` number, since 2 + 4 + 0 + 3 + 4 + 3 + 4 + 220 + 421 + 4 + 1 = 666.

It is not a de Polignac number, because 240343422042141 - 26 = 240343422042077 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 240343422042096 and 240343422042105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240343422042181) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 438920775 + ... + 439468011.

It is an arithmetic number, because the mean of its divisors is an integer number (4922482423320).

Almost surely, 2240343422042141 is an apocalyptic number.

It is an amenable number.

240343422042141 is a deficient number, since it is larger than the sum of its proper divisors (153455171823459).

240343422042141 is a wasteful number, since it uses less digits than its factorization.

240343422042141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549936 (or 549927 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 240343422042141 its reverse (141240224343042), we get a palindrome (381583646385183).

The spelling of 240343422042141 in words is "two hundred forty trillion, three hundred forty-three billion, four hundred twenty-two million, forty-two thousand, one hundred forty-one".

Divisors: 1 3 9 11 27 33 81 99 199 297 597 891 1791 2189 2477 5373 6567 7431 16119 19701 22293 27247 59103 66879 81741 177309 200637 245223 492923 547237 735669 1478769 1641711 2207007 4436307 4925133 5422153 6019607 13308921 14775399 16266459 18058821 39926763 44326197 48799377 54176463 108900163 146398131 162529389 326700489 439194393 487588167 980101467 1197901793 1355506049 2940304401 3593705379 4066518147 8820913203 10781116137 12199554441 14910566539 32343348411 36598663323 44731699617 97030045233 109795989969 134195098851 269745703751 402585296553 809237111253 1207755889659 2427711333759 2967202741261 7283134001277 8901608223783 21849402003831 26704824671349 80114474014047 240343422042141