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14054452400 = 245276146171
BaseRepresentation
bin11010001011011010…
…11110110010110000
31100021110221011020002
431011231132302300
5212240414434100
610242335405132
71005165605612
oct150555366260
940243834202
1014054452400
115a6241011a
1228829837a8
13142c995a31
1497480cdb2
15573cdc2d5
hex345b5ecb0

14054452400 has 60 divisors (see below), whose sum is σ = 33810924504. Its totient is φ = 5614272000.

The previous prime is 14054452319. The next prime is 14054452409. The reversal of 14054452400 is 425445041.

It is not an unprimeable number, because it can be changed into a prime (14054452409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 281315 + ... + 327485.

Almost surely, 214054452400 is an apocalyptic number.

14054452400 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 14054452400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16905462252).

14054452400 is an abundant number, since it is smaller than the sum of its proper divisors (19756472104).

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

14054452400 is a wasteful number, since it uses less digits than its factorization.

14054452400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46950 (or 46939 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 29.

Adding to 14054452400 its reverse (425445041), we get a palindrome (14479897441).

The spelling of 14054452400 in words is "fourteen billion, fifty-four million, four hundred fifty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 761 1522 3044 3805 6088 7610 12176 15220 19025 30440 38050 46171 60880 76100 92342 152200 184684 230855 304400 369368 461710 738736 923420 1154275 1846840 2308550 3693680 4617100 9234200 18468400 35136131 70272262 140544524 175680655 281089048 351361310 562178096 702722620 878403275 1405445240 1756806550 2810890480 3513613100 7027226200 14054452400