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43441471216 = 241113178910613
BaseRepresentation
bin101000011101010100…
…000011111011110000
311011010111210101111101
4220131110003323300
51202432004034331
631542353254144
73065343261403
oct503524037360
9134114711441
1043441471216
111747263a330
128504564354
134134068770
142161691d3a
1511e3bd2061
hexa1d503ef0

43441471216 has 80 divisors (see below), whose sum is σ = 98947104480. Its totient is φ = 18215285760.

The previous prime is 43441471207. The next prime is 43441471217. The reversal of 43441471216 is 61217414434.

It is a super-2 number, since 2×434414712162 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43441471217) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4087926 + ... + 4098538.

It is an arithmetic number, because the mean of its divisors is an integer number (1236838806).

Almost surely, 243441471216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43441471216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49473552240).

43441471216 is an abundant number, since it is smaller than the sum of its proper divisors (55505633264).

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

43441471216 is a wasteful number, since it uses less digits than its factorization.

43441471216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12434 (or 12428 counting only the distinct ones).

The product of its digits is 64512, while the sum is 37.

The spelling of 43441471216 in words is "forty-three billion, four hundred forty-one million, four hundred seventy-one thousand, two hundred sixteen".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 143 176 208 286 572 1144 1789 2288 3578 7156 10613 14312 19679 21226 23257 28624 39358 42452 46514 78716 84904 93028 116743 137969 157432 169808 186056 233486 255827 275938 314864 372112 466972 511654 551876 933944 1023308 1103752 1517659 1867888 2046616 2207504 3035318 4093232 6070636 12141272 18986657 24282544 37973314 75946628 151893256 208853227 246826541 303786512 417706454 493653082 835412908 987306164 1670825816 1974612328 2715091951 3341651632 3949224656 5430183902 10860367804 21720735608 43441471216