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30303241441344 = 2632277371896737
BaseRepresentation
bin1101110001111100001011…
…11100010001000001000000
310222021221221222222001211100
412320332011330101001000
512432442014302110334
6144241041131414400
76245223400202064
oct670760574210100
9128257858861740
1030303241441344
1197235948761a3
123494b7a2b4400
1313ba777989291
1476a982bc3aa4
153783cbd1ec99
hex1b8f85f11040

30303241441344 has 84 divisors (see below), whose sum is σ = 86861947481244. Its totient is φ = 10100710981632.

The previous prime is 30303241441337. The next prime is 30303241441367. The reversal of 30303241441344 is 44314414230303.

30303241441344 is a `hidden beast` number, since 3 + 0 + 30 + 3 + 241 + 4 + 41 + 344 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11973814502400 + 18329426938944 = 3460320^2 + 4281288^2 .

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 = 30303241441299 and 30303241441308.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15028144 + ... + 16924880.

Almost surely, 230303241441344 is an apocalyptic number.

It is an amenable number.

30303241441344 is an abundant number, since it is smaller than the sum of its proper divisors (56558706039900).

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

30303241441344 is a wasteful number, since it uses less digits than its factorization.

30303241441344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1924492 (or 1924479 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 30303241441344 its reverse (44314414230303), we get a palindrome (74617655671647).

The spelling of 30303241441344 in words is "thirty trillion, three hundred three billion, two hundred forty-one million, four hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 27737 55474 83211 110948 166422 221896 249633 332844 443792 499266 665688 887584 998532 1331376 1775168 1896737 1997064 2662752 3793474 3994128 5325504 5690211 7586948 7988256 11380422 15173896 15976512 17070633 22760844 30347792 34141266 45521688 60695584 68282532 91043376 121391168 136565064 182086752 273130128 364173504 546260256 1092520512 52609794169 105219588338 157829382507 210439176676 315658765014 420878353352 473488147521 631317530028 841756706704 946976295042 1262635060056 1683513413408 1893952590084 2525270120112 3367026826816 3787905180168 5050540240224 7575810360336 10101080480448 15151620720672 30303241441344