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334122442300422 = 23423231712299167
BaseRepresentation
bin100101111111000011111000…
…1011111000001110000000110
31121211000210102111010101010000
41023332013301133001300012
5322243230230212103142
63142341421520542130
7130243356411440256
oct11376076137016006
91554023374111100
10334122442300422
1197509594140766
1231583201a81946
13114587c3803419
145c71880979966
152896458bc814c
hex12fe1f17c1c06

334122442300422 has 120 divisors (see below), whose sum is σ = 785117413878336. Its totient is φ = 106195722123744.

The previous prime is 334122442300421. The next prime is 334122442300433. The reversal of 334122442300422 is 224003244221433.

334122442300422 is a `hidden beast` number, since 3 + 3 + 4 + 1 + 224 + 4 + 2 + 3 + 0 + 0 + 422 = 666.

It is a super-2 number, since 2×3341224423004222 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334122442300421) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 21016683 + ... + 33315849.

Almost surely, 2334122442300422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 334122442300422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392558706939168).

334122442300422 is an abundant number, since it is smaller than the sum of its proper divisors (450994971577914).

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

334122442300422 is a wasteful number, since it uses less digits than its factorization.

334122442300422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12299544 (or 12299512 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 334122442300422 its reverse (224003244221433), we get a palindrome (558125686521855).

The spelling of 334122442300422 in words is "three hundred thirty-four trillion, one hundred twenty-two billion, four hundred forty-two million, three hundred thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 81 138 162 207 317 414 529 621 634 951 1058 1242 1587 1863 1902 2853 3174 3726 4761 5706 7291 8559 9522 14283 14582 17118 21873 25677 28566 42849 43746 51354 65619 85698 131238 167693 196857 335386 393714 503079 590571 1006158 1181142 1509237 3018474 4527711 9055422 12299167 13583133 24598334 27166266 36897501 73795002 110692503 221385006 282880841 332077509 565761682 664155018 848642523 996232527 1697285046 1992465054 2545927569 3898835939 5091855138 6506259343 7637782707 7797671878 11696507817 13012518686 15275565414 19518778029 22913348121 23393015634 35089523451 39037556058 45826696242 58556334087 70179046902 89673226597 105268570353 117112668174 175669002261 179346453194 210537140706 269019679791 315805711059 351338004522 527007006783 538039359582 631611422118 807059039373 1054014013566 1614118078746 2062484211731 2421177118119 4124968423462 4842354236238 6187452635193 7263531354357 12374905270386 14527062708714 18562357905579 37124715811158 55687073716737 111374147433474 167061221150211 334122442300422