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354250002233313 = 321717339769336533
BaseRepresentation
bin101000010001100000100000…
…1100010110111011111100001
31201110021222011202002212120200
41100203001001202313133201
5332413013001032431223
63253232112051055413
7134421501203145234
oct12043010142673741
91643258152085520
10354250002233313
11a2969644a8933a
1233894034ba1569
131228882a2b4a94
146369b121b341b
152ae4cc7584a43
hex14230418b77e1

354250002233313 has 48 divisors (see below), whose sum is σ = 544941200540880. Its totient is φ = 220983473958912.

The previous prime is 354250002233263. The next prime is 354250002233327. The reversal of 354250002233313 is 313332200052453.

354250002233313 is a `hidden beast` number, since 3 + 5 + 425 + 0 + 0 + 0 + 223 + 3 + 3 + 1 + 3 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 13090336455249 + 341159665778064 = 3618057^2 + 18470508^2 .

It is not a de Polignac number, because 354250002233313 - 212 = 354250002229217 is a prime.

It is a super-3 number, since 3×3542500022333133 (a number of 45 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (354250002233363) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1052477395 + ... + 1052813927.

It is an arithmetic number, because the mean of its divisors is an integer number (11352941677935).

Almost surely, 2354250002233313 is an apocalyptic number.

It is an amenable number.

354250002233313 is a deficient number, since it is larger than the sum of its proper divisors (190691198307567).

354250002233313 is a wasteful number, since it uses less digits than its factorization.

354250002233313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376498 (or 376495 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 36.

Adding to 354250002233313 its reverse (313332200052453), we get a palindrome (667582202285766).

The spelling of 354250002233313 in words is "three hundred fifty-four trillion, two hundred fifty billion, two million, two hundred thirty-three thousand, three hundred thirteen".

Divisors: 1 3 9 17 51 153 173 519 1557 2941 8823 26469 39769 119307 336533 357921 676073 1009599 2028219 3028797 5721061 6084657 6880037 17163183 20640111 51489549 58220209 61920333 116960629 174660627 350881887 523981881 989743553 1052645661 2969230659 8907691977 13383580877 40150742631 120452227893 227520874909 682562624727 2047687874181 2315359491721 6946078475163 20838235425489 39361111359257 118083334077771 354250002233313