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14432353000 = 2353131110181
BaseRepresentation
bin11010111000011110…
…00011101011101000
31101020211000111101121
431130033003223220
5214024140244000
610344035225024
71020434655622
oct153417035350
941224014347
1014432353000
11613676146a
122969448174
13149006a460
149aca9dc12
15597087b1a
hex35c3c3ae8

14432353000 has 64 divisors (see below), whose sum is σ = 36369562320. Its totient is φ = 5328864000.

The previous prime is 14432352971. The next prime is 14432353069. The reversal of 14432353000 is 35323441.

It can be written as a sum of positive squares in 8 ways, for example, as 94206436 + 14338146564 = 9706^2 + 119742^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 542091 + ... + 568090.

Almost surely, 214432353000 is an apocalyptic number.

14432353000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14432353000 is an abundant number, since it is smaller than the sum of its proper divisors (21937209320).

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

14432353000 is a wasteful number, since it uses less digits than its factorization.

14432353000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1110215 (or 1110201 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

Adding to 14432353000 its reverse (35323441), we get a palindrome (14467676441).

The spelling of 14432353000 in words is "fourteen billion, four hundred thirty-two million, three hundred fifty-three thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 250 260 325 500 520 650 1000 1300 1625 2600 3250 6500 13000 1110181 2220362 4440724 5550905 8881448 11101810 14432353 22203620 27754525 28864706 44407240 55509050 57729412 72161765 111018100 115458824 138772625 144323530 222036200 277545250 288647060 360808825 555090500 577294120 721617650 1110181000 1443235300 1804044125 2886470600 3608088250 7216176500 14432353000