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14241300400 = 2452290912239
BaseRepresentation
bin11010100001101100…
…01111111110110000
31100202111112000111101
431100312033332300
5213131233103100
610313052254144
71012625025145
oct152066177660
940674460441
1014241300400
11604892a858
122915471354
13145c5c6892
1499156a3cc
155853e986a
hex350d8ffb0

14241300400 has 60 divisors (see below), whose sum is σ = 34229282400. Its totient is φ = 5694096640.

The previous prime is 14241300373. The next prime is 14241300433. The reversal of 14241300400 is 400314241.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1157481 + ... + 1169719.

It is an arithmetic number, because the mean of its divisors is an integer number (570488040).

Almost surely, 214241300400 is an apocalyptic number.

14241300400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14241300400 is an abundant number, since it is smaller than the sum of its proper divisors (19987982000).

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

14241300400 is a wasteful number, since it uses less digits than its factorization.

14241300400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15166 (or 15155 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 14241300400 its reverse (400314241), we get a palindrome (14641614641).

The spelling of 14241300400 in words is "fourteen billion, two hundred forty-one million, three hundred thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 2909 5818 11636 12239 14545 23272 24478 29090 46544 48956 58180 61195 72725 97912 116360 122390 145450 195824 232720 244780 290900 305975 489560 581800 611950 979120 1163600 1223900 2447800 4895600 35603251 71206502 142413004 178016255 284826008 356032510 569652016 712065020 890081275 1424130040 1780162550 2848260080 3560325100 7120650200 14241300400