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144055533336246 = 23273156396540269
BaseRepresentation
bin100000110000010010001010…
…111001000111011010110110
3200220001120111210201000111200
4200300102022321013122312
5122340201213013224441
61230214110505113330
742225445256621460
oct4060221271073266
9626046453630450
10144055533336246
114199a677059324
12141a6b16788846
13624c4bc7621bc
142780479bb1130
15119c3359e37b6
hex83048ae476b6

144055533336246 has 96 divisors (see below), whose sum is σ = 368281034035200. Its totient is φ = 39823953462720.

The previous prime is 144055533336167. The next prime is 144055533336257. The reversal of 144055533336246 is 642633335550441.

It is a happy number.

144055533336246 is a `hidden beast` number, since 1 + 4 + 4 + 0 + 5 + 5 + 5 + 3 + 3 + 3 + 3 + 624 + 6 = 666.

It is a super-2 number, since 2×1440555333362462 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 144055533336192 and 144055533336201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18755800 + ... + 25296068.

It is an arithmetic number, because the mean of its divisors is an integer number (3836260771200).

Almost surely, 2144055533336246 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144055533336246, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184140517017600).

144055533336246 is an abundant number, since it is smaller than the sum of its proper divisors (224225500698954).

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

144055533336246 is a wasteful number, since it uses less digits than its factorization.

144055533336246 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6545954 (or 6545951 counting only the distinct ones).

The product of its (nonzero) digits is 46656000, while the sum is 54.

Adding to 144055533336246 its reverse (642633335550441), we get a palindrome (786688868886687).

The spelling of 144055533336246 in words is "one hundred forty-four trillion, fifty-five billion, five hundred thirty-three million, three hundred thirty-six thousand, two hundred forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 62 63 93 126 186 217 279 434 558 651 1302 1953 3906 5639 11278 16917 33834 39473 50751 78946 101502 118419 174809 236838 349618 355257 524427 710514 1048854 1223663 1573281 2447326 3146562 3670989 6540269 7341978 11012967 13080538 19620807 22025934 39241614 45781883 58862421 91563766 117724842 137345649 202748339 274691298 405496678 412036947 608245017 824073894 1216490034 1419238373 1824735051 2838476746 3649470102 4257715119 8515430238 12773145357 25546290714 36880576891 73761153782 110641730673 221283461346 258164038237 331925192019 516328076474 663850384038 774492114711 1143297883621 1548984229422 2286595767242 2323476344133 3429893650863 4646952688266 6859787301726 8003085185347 10289680952589 16006170370694 20579361905178 24009255556041 48018511112082 72027766668123 144055533336246