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3455444305352 = 231325717447053
BaseRepresentation
bin110010010010001000100…
…001111100010111001000
3110020100002212002011222202
4302102020201330113020
5423103222220232402
611203224215335332
7504435062656154
oct62221041742710
913210085064882
103455444305352
11111249a255336
12479831381548
131c0b01b21500
14bd35c8a6064
155ed3d94eb02
hex3248887c5c8

3455444305352 has 48 divisors (see below), whose sum is σ = 7016919349140. Its totient is φ = 1594537920768.

The previous prime is 3455444305337. The next prime is 3455444305429. The reversal of 3455444305352 is 2535034445543.

It can be written as a sum of positive squares in 6 ways, for example, as 127687587556 + 3327756717796 = 357334^2 + 1824214^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3455444305297 and 3455444305306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7505858 + ... + 7952910.

Almost surely, 23455444305352 is an apocalyptic number.

It is an amenable number.

3455444305352 is an abundant number, since it is smaller than the sum of its proper divisors (3561475043788).

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

3455444305352 is a wasteful number, since it uses less digits than its factorization.

3455444305352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452802 (or 452785 counting only the distinct ones).

The product of its (nonzero) digits is 8640000, while the sum is 47.

The spelling of 3455444305352 in words is "three trillion, four hundred fifty-five billion, four hundred forty-four million, three hundred five thousand, three hundred fifty-two".

Divisors: 1 2 4 8 13 26 52 104 169 338 676 1352 5717 11434 22868 45736 74321 148642 297284 447053 594568 894106 966173 1788212 1932346 3576424 3864692 5811689 7729384 11623378 23246756 46493512 75551957 151103914 302207828 604415656 2555802001 5111604002 10223208004 20446416008 33225426013 66450852026 132901704052 265803408104 431930538169 863861076338 1727722152676 3455444305352