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14514341200 = 245260759779
BaseRepresentation
bin11011000010001111…
…10100010101010000
31101110112021221001121
431201013310111100
5214211132404300
610400124412024
71022451602362
oct154107642520
941415257047
1014514341200
116178a70407
1229909a7014
1314a4045798
149b9922d32
1559e38081a
hex3611f4550

14514341200 has 60 divisors (see below), whose sum is σ = 34928736640. Its totient is φ = 5796074880.

The previous prime is 14514341117. The next prime is 14514341203. The reversal of 14514341200 is 214341541.

It is a super-2 number, since 2×145143412002 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14514341203) 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, 212911 + ... + 272689.

Almost surely, 214514341200 is an apocalyptic number.

14514341200 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 14514341200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17464368320).

14514341200 is an abundant number, since it is smaller than the sum of its proper divisors (20414395440).

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

14514341200 is a wasteful number, since it uses less digits than its factorization.

14514341200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60404 (or 60393 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 14514341200 its reverse (214341541), we get a palindrome (14728682741).

The spelling of 14514341200 in words is "fourteen billion, five hundred fourteen million, three hundred forty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 607 1214 2428 3035 4856 6070 9712 12140 15175 24280 30350 48560 59779 60700 119558 121400 239116 242800 298895 478232 597790 956464 1195580 1494475 2391160 2988950 4782320 5977900 11955800 23911600 36285853 72571706 145143412 181429265 290286824 362858530 580573648 725717060 907146325 1451434120 1814292650 2902868240 3628585300 7257170600 14514341200