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14428683400 = 2352312327207
BaseRepresentation
bin11010111000000010…
…00011110010001000
31101020120010001122111
431130001003302020
5214022220332100
610343424432104
71020361533235
oct153401036210
941216101574
1014428683400
11613468543a
122968178634
13148c3840b1
149ac3c678c
15596ab06ba
hex35c043c88

14428683400 has 48 divisors (see below), whose sum is σ = 34628855040. Its totient is φ = 5585294400.

The previous prime is 14428683389. The next prime is 14428683407. The reversal of 14428683400 is 438682441.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (14428683407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1157404 + ... + 1169803.

It is an arithmetic number, because the mean of its divisors is an integer number (721434480).

Almost surely, 214428683400 is an apocalyptic number.

14428683400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14428683400 is an abundant number, since it is smaller than the sum of its proper divisors (20200171640).

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

14428683400 is a wasteful number, since it uses less digits than its factorization.

14428683400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2327254 (or 2327245 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 40.

The spelling of 14428683400 in words is "fourteen billion, four hundred twenty-eight million, six hundred eighty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 155 200 248 310 620 775 1240 1550 3100 6200 2327207 4654414 9308828 11636035 18617656 23272070 46544140 58180175 72143417 93088280 116360350 144286834 232720700 288573668 360717085 465441400 577147336 721434170 1442868340 1803585425 2885736680 3607170850 7214341700 14428683400