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242305622046 = 233139225114341
BaseRepresentation
bin1110000110101010001…
…0100110000000011110
3212011102200202221212000
43201222202212000132
512432220214401141
6303151430223130
723335362542655
oct3415242460036
9764380687760
10242305622046
1193841230204
123ab637b4aa6
1319b06c64827
14ba2898219c
15648258d5b6
hex386a8a601e

242305622046 has 64 divisors (see below), whose sum is σ = 542609491200. Its totient is φ = 80146260000.

The previous prime is 242305621981. The next prime is 242305622051. The reversal of 242305622046 is 640226503242.

242305622046 is a `hidden beast` number, since 2 + 4 + 2 + 30 + 562 + 20 + 46 = 666.

It is a super-2 number, since 2×2423056220462 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 242305622046.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16888836 + ... + 16903176.

It is an arithmetic number, because the mean of its divisors is an integer number (8478273300).

Almost surely, 2242305622046 is an apocalyptic number.

242305622046 is an abundant number, since it is smaller than the sum of its proper divisors (300303869154).

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

242305622046 is a wasteful number, since it uses less digits than its factorization.

242305622046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16742 (or 16736 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 242305622046 in words is "two hundred forty-two billion, three hundred five million, six hundred twenty-two thousand, forty-six".

Divisors: 1 2 3 6 9 18 27 54 139 278 417 834 1251 2251 2502 3753 4502 6753 7506 13506 14341 20259 28682 40518 43023 60777 86046 121554 129069 258138 312889 387207 625778 774414 938667 1877334 1993399 2816001 3986798 5632002 5980197 8448003 11960394 16896006 17940591 32281591 35881182 53821773 64563182 96844773 107643546 193689546 290534319 581068638 871602957 1743205914 4487141149 8974282298 13461423447 26922846894 40384270341 80768540682 121152811023 242305622046