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30392452314225 = 325246727872
BaseRepresentation
bin1101110100100010010110…
…10100101111010001110001
310222121111020020221222001100
412322101023110233101301
512440422220243023400
6144350033322155013
76254532205125351
oct672211324572161
9128544206858040
1030392452314225
119758404002411
1234aa316952a69
1313c5cc4164621
14771006d86b61
1537a89dc71100
hex1ba44b52f471

30392452314225 has 81 divisors (see below), whose sum is σ = 54622480339947. Its totient is φ = 16154046240480.

The previous prime is 30392452314197. The next prime is 30392452314253. The reversal of 30392452314225 is 52241325429303.

The square root of 30392452314225 is 5512935.

It is a perfect power (a square), and thus also a powerful number.

30392452314225 is a `hidden beast` number, since 3 + 0 + 3 + 92 + 4 + 523 + 14 + 2 + 25 = 666.

It is an interprime number because it is at equal distance from previous prime (30392452314197) and next prime (30392452314253).

It can be written as a sum of positive squares in only one way, i.e., 10941282833121 + 19451169481104 = 3307761^2 + 4410348^2 .

It is not a de Polignac number, because 30392452314225 - 225 = 30392418759793 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 38618109282 + ... + 38618110068.

Almost surely, 230392452314225 is an apocalyptic number.

30392452314225 is the 5512935-th square number.

30392452314225 is the 2756468-th centered octagonal number.

It is an amenable number.

30392452314225 is a deficient number, since it is larger than the sum of its proper divisors (24230028025722).

30392452314225 is an frugal number, since it uses more digits than its factorization.

30392452314225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2524 (or 1262 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 30392452314225 in words is "thirty trillion, three hundred ninety-two billion, four hundred fifty-two million, three hundred fourteen thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 467 787 1401 2335 2361 3935 4203 7005 7083 11675 11805 19675 21015 35025 35415 59025 105075 177075 218089 367529 619369 654267 1090445 1102587 1837645 1858107 1962801 3096845 3271335 3307761 5452225 5512935 5574321 9188225 9290535 9814005 15484225 16356675 16538805 27564675 27871605 46452675 49070025 82694025 139358025 171636043 289245323 514908129 858180215 867735969 1446226615 1544724387 2574540645 2603207907 4290901075 4338679845 7231133075 7723621935 12872703225 13016039535 21693399225 38618109675 65080197675 135077565841 405232697523 675387829205 1215698092569 2026163487615 3376939146025 6078490462845 10130817438075 30392452314225