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43450504000 = 265317319489
BaseRepresentation
bin101000011101110110…
…100001001101000000
311011011010210022010221
4220131312201031000
51202441312112000
631543315032424
73065513122141
oct503566411500
9134133708127
1043450504000
1117477749842
12850759b714
134135babcc7
142162963ac8
1511e48b861a
hexa1dda1340

43450504000 has 112 divisors (see below), whose sum is σ = 113935245840. Its totient is φ = 16357785600.

The previous prime is 43450503961. The next prime is 43450504007. The reversal of 43450504000 is 40505434.

It can be written as a sum of positive squares in 8 ways, for example, as 5537741056 + 37912762944 = 74416^2 + 194712^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43450504007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23745 + ... + 295744.

Almost surely, 243450504000 is an apocalyptic number.

43450504000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43450504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56967622920).

43450504000 is an abundant number, since it is smaller than the sum of its proper divisors (70484741840).

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

43450504000 is a wasteful number, since it uses less digits than its factorization.

43450504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319533 (or 319513 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

The spelling of 43450504000 in words is "forty-three billion, four hundred fifty million, five hundred four thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 64 68 80 85 100 125 136 160 170 200 250 272 320 340 400 425 500 544 680 800 850 1000 1088 1360 1600 1700 2000 2125 2720 3400 4000 4250 5440 6800 8000 8500 13600 17000 27200 34000 68000 136000 319489 638978 1277956 1597445 2555912 3194890 5111824 5431313 6389780 7987225 10223648 10862626 12779560 15974450 20447296 21725252 25559120 27156565 31948900 39936125 43450504 51118240 54313130 63897800 79872250 86901008 102236480 108626260 127795600 135782825 159744500 173802016 217252520 255591200 271565650 319489000 347604032 434505040 511182400 543131300 638978000 678914125 869010080 1086262600 1277956000 1357828250 1738020160 2172525200 2555912000 2715656500 4345050400 5431313000 8690100800 10862626000 21725252000 43450504000