Search a number
-
+
14200434310120 = 23519182310249469
BaseRepresentation
bin1100111010100100101111…
…0101111011101111101000
31212021112210200102212201221
43032221023311323233220
53330124442140410440
650111331153551424
72663643000025612
oct316511365735750
955245720385657
1014200434310120
114585408a66473
121714180875574
137c0131238456
1437143a0c5db2
151995bc561d4a
hexcea4bd7bbe8

14200434310120 has 64 divisors (see below), whose sum is σ = 33651059904000. Its totient is φ = 5378264840448.

The previous prime is 14200434310031. The next prime is 14200434310147. The reversal of 14200434310120 is 2101343400241.

It is a super-5 number, since 5×142004343101205 (a number of 67 digits) contains 55555 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3739255 + ... + 6510214.

It is an arithmetic number, because the mean of its divisors is an integer number (525797811000).

Almost surely, 214200434310120 is an apocalyptic number.

14200434310120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14200434310120 is an abundant number, since it is smaller than the sum of its proper divisors (19450625593880).

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

14200434310120 is a wasteful number, since it uses less digits than its factorization.

14200434310120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10251322 (or 10251318 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 14200434310120 its reverse (2101343400241), we get a palindrome (16301777710361).

The spelling of 14200434310120 in words is "fourteen trillion, two hundred billion, four hundred thirty-four million, three hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 760 1823 3646 7292 9115 14584 18230 34637 36460 69274 72920 138548 173185 277096 346370 692740 1385480 10249469 20498938 40997876 51247345 81995752 102494690 194739911 204989380 389479822 409978760 778959644 973699555 1557919288 1947399110 3894798220 7789596440 18684781987 37369563974 74739127948 93423909935 149478255896 186847819870 355010857753 373695639740 710021715506 747391279480 1420043431012 1775054288765 2840086862024 3550108577530 7100217155060 14200434310120