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3447240275444 = 2272175319520489
BaseRepresentation
bin110010001010011111100…
…010000011010111110100
3110012112221002202021200012
4302022133202003113310
5422434422002303234
611155350150435352
7504024553605500
oct62123742032764
913175832667605
103447240275444
111109a6a2a2229
12478121962b58
131c00c5242a44
14bcbc108b300
155ea0d5a10ce
hex3229f8835f4

3447240275444 has 72 divisors (see below), whose sum is σ = 7570592595720. Its totient is φ = 1364247865344.

The previous prime is 3447240275341. The next prime is 3447240275459. The reversal of 3447240275444 is 4445720427443.

It is a happy number.

3447240275444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 617403062500 + 2829837212944 = 785750^2 + 1682212^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3447240275392 and 3447240275401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9583649 + ... + 9936840.

It is an arithmetic number, because the mean of its divisors is an integer number (105147119385).

Almost surely, 23447240275444 is an apocalyptic number.

3447240275444 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

3447240275444 is an abundant number, since it is smaller than the sum of its proper divisors (4123352320276).

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

3447240275444 is a wasteful number, since it uses less digits than its factorization.

3447240275444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19520577 (or 19520568 counting only the distinct ones).

The product of its (nonzero) digits is 12042240, while the sum is 50.

The spelling of 3447240275444 in words is "three trillion, four hundred forty-seven billion, two hundred forty million, two hundred seventy-five thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 17 28 34 49 53 68 98 106 119 196 212 238 371 476 742 833 901 1484 1666 1802 2597 3332 3604 5194 6307 10388 12614 25228 44149 88298 176596 19520489 39040978 78081956 136643423 273286846 331848313 546573692 663696626 956503961 1034585917 1327393252 1913007922 2069171834 2322938191 3826015844 4138343668 4645876382 7242101419 9291752764 14484202838 16260567337 17587960589 28968405676 32521134674 35175921178 50694709933 65042269348 70351842356 101389419866 123115724123 202778839732 246231448246 492462896492 861810068861 1723620137722 3447240275444