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14448929040 = 24345713107229
BaseRepresentation
bin11010111010011100…
…10010100100010000
31101021222012122110000
431131032102210100
5214042411212130
610345430410000
71021025604360
oct153516224420
941258178400
1014448929040
116145053277
122972b00900
131493622270
149b0d769a0
1559875e260
hex35d392910

14448929040 has 800 divisors, whose sum is σ = 62613492480. Its totient is φ = 3006885888.

The previous prime is 14448928979. The next prime is 14448929087. The reversal of 14448929040 is 4092984441.

14448929040 is a `hidden beast` number, since 1 + 44 + 489 + 2 + 90 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 63095646 + ... + 63095874.

Almost surely, 214448929040 is an apocalyptic number.

14448929040 is a gapful number since it is divisible by the number (10) 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 14448929040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31306746240).

14448929040 is an abundant number, since it is smaller than the sum of its proper divisors (48164563440).

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

14448929040 is a wasteful number, since it uses less digits than its factorization.

14448929040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 14448929040 in words is "fourteen billion, four hundred forty-eight million, nine hundred twenty-nine thousand, forty".