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4256448144 = 243136821231
BaseRepresentation
bin1111110110110100…
…0011111010010000
3101222122020222011120
43331231003322100
532204122320034
61542210242240
7210323132544
oct37555037220
911878228146
104256448144
111894721543
129a9586380
1352aab1090
142c542ba24
1519da2ec49
hexfdb43e90

4256448144 has 40 divisors (see below), whose sum is σ = 11841658752. Its totient is φ = 1309676160.

The previous prime is 4256448139. The next prime is 4256448197. The reversal of 4256448144 is 4418446524.

It is a super-2 number, since 2×42564481442 = 36234701605122089472, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4256448096 and 4256448105.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3409992 + ... + 3411239.

Almost surely, 24256448144 is an apocalyptic number.

It is an amenable number.

4256448144 is an abundant number, since it is smaller than the sum of its proper divisors (7585210608).

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

4256448144 is a wasteful number, since it uses less digits than its factorization.

4256448144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6821255 (or 6821249 counting only the distinct ones).

The product of its digits is 491520, while the sum is 42.

The square root of 4256448144 is about 65241.4603147416. The cubic root of 4256448144 is about 1620.6246821177.

The spelling of 4256448144 in words is "four billion, two hundred fifty-six million, four hundred forty-eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 6821231 13642462 20463693 27284924 40927386 54569848 81854772 88676003 109139696 163709544 177352006 266028009 327419088 354704012 532056018 709408024 1064112036 1418816048 2128224072 4256448144