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14103354400 = 255243140903
BaseRepresentation
bin11010010001010000…
…00001110000100000
31100101212221122011021
431020220001300200
5212340424320100
610251243455224
71006331351212
oct151050016040
940355848137
1014103354400
115a87a809a3
122897227514
131439b58425
1497b0dc5b2
1557824ba1a
hex348a01c20

14103354400 has 72 divisors (see below), whose sum is σ = 34510541184. Its totient is φ = 5628115200.

The previous prime is 14103354379. The next prime is 14103354401. The reversal of 14103354400 is 445330141.

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

It is not an unprimeable number, because it can be changed into a prime (14103354401) 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, 324349 + ... + 365251.

It is an arithmetic number, because the mean of its divisors is an integer number (479313072).

Almost surely, 214103354400 is an apocalyptic number.

14103354400 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 14103354400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17255270592).

14103354400 is an abundant number, since it is smaller than the sum of its proper divisors (20407186784).

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

14103354400 is a wasteful number, since it uses less digits than its factorization.

14103354400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41354 (or 41341 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 14103354400 its reverse (445330141), we get a palindrome (14548684541).

The spelling of 14103354400 in words is "fourteen billion, one hundred three million, three hundred fifty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 431 800 862 1724 2155 3448 4310 6896 8620 10775 13792 17240 21550 34480 40903 43100 68960 81806 86200 163612 172400 204515 327224 344800 409030 654448 818060 1022575 1308896 1636120 2045150 3272240 4090300 6544480 8180600 16361200 17629193 32722400 35258386 70516772 88145965 141033544 176291930 282067088 352583860 440729825 564134176 705167720 881459650 1410335440 1762919300 2820670880 3525838600 7051677200 14103354400