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14130140200 = 23521119732603
BaseRepresentation
bin11010010100011100…
…01101010000101000
31100110202100111100221
431022032031100220
5212414303441300
610254041535424
71010105132011
oct151216152050
940422314327
1014130140200
115aa1106520
1228a41a4574
131442576407
149808b2008
1557a78d31a
hex34a38d428

14130140200 has 96 divisors (see below), whose sum is σ = 36022203360. Its totient is φ = 5111993600.

The previous prime is 14130140147. The next prime is 14130140221. The reversal of 14130140200 is 204103141.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 417099 + ... + 449701.

It is an arithmetic number, because the mean of its divisors is an integer number (375231285).

Almost surely, 214130140200 is an apocalyptic number.

14130140200 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 14130140200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18011101680).

14130140200 is an abundant number, since it is smaller than the sum of its proper divisors (21892063160).

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

14130140200 is a wasteful number, since it uses less digits than its factorization.

14130140200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32827 (or 32818 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 14130140200 its reverse (204103141), we get a palindrome (14334243341).

The spelling of 14130140200 in words is "fourteen billion, one hundred thirty million, one hundred forty thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 197 200 220 275 394 440 550 788 985 1100 1576 1970 2167 2200 3940 4334 4925 7880 8668 9850 10835 17336 19700 21670 32603 39400 43340 54175 65206 86680 108350 130412 163015 216700 260824 326030 358633 433400 652060 717266 815075 1304120 1434532 1630150 1793165 2869064 3260300 3586330 6422791 6520600 7172660 8965825 12845582 14345320 17931650 25691164 32113955 35863300 51382328 64227910 70650701 71726600 128455820 141301402 160569775 256911640 282602804 321139550 353253505 565205608 642279100 706507010 1284558200 1413014020 1766267525 2826028040 3532535050 7065070100 14130140200