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14270323392 = 263413375997
BaseRepresentation
bin11010100101001001…
…11101101011000000
31100211112010112120000
431102210331223000
5213211200322032
610320010320000
71013426514243
oct152244755300
940745115500
1014270323392
1160632531a6
122923129000
131465618c50
1499536325a
15587c2de7c
hex35293dac0

14270323392 has 560 divisors, whose sum is σ = 48070434720. Its totient is φ = 4156489728.

The previous prime is 14270323391. The next prime is 14270323423. The reversal of 14270323392 is 29332307241.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (14270323391) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 147116688 + ... + 147116784.

It is an arithmetic number, because the mean of its divisors is an integer number (85840062).

Almost surely, 214270323392 is an apocalyptic number.

14270323392 is a gapful number since it is divisible by the number (12) 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 14270323392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24035217360).

14270323392 is an abundant number, since it is smaller than the sum of its proper divisors (33800111328).

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

14270323392 is a wasteful number, since it uses less digits than its factorization.

14270323392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 14270323392 in words is "fourteen billion, two hundred seventy million, three hundred twenty-three thousand, three hundred ninety-two".