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14131532040300 = 2232521071033142057
BaseRepresentation
bin1100110110100100000011…
…1100101000100001101100
31212000221221202122220120200
43031221000330220201230
53323012334200242200
650015534115113500
72655653352266523
oct315510074504154
955027852586520
1014131532040300
114559170479324
1217029515a2890
137b67a03585ac
1436bd811bb4ba
151978d84d9800
hexcda40f2886c

14131532040300 has 216 divisors, whose sum is σ = 44752064653296. Its totient is φ = 3729549588480.

The previous prime is 14131532040299. The next prime is 14131532040341. The reversal of 14131532040300 is 304023513141.

It is a happy number.

14131532040300 is a `hidden beast` number, since 1 + 4 + 1 + 3 + 153 + 204 + 0 + 300 = 666.

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 71 ways as a sum of consecutive naturals, for example, 99406872 + ... + 99548928.

It is an arithmetic number, because the mean of its divisors is an integer number (207185484506).

Almost surely, 214131532040300 is an apocalyptic number.

14131532040300 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 14131532040300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22376032326648).

14131532040300 is an abundant number, since it is smaller than the sum of its proper divisors (30620532612996).

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

14131532040300 is a wasteful number, since it uses less digits than its factorization.

14131532040300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143217 (or 143207 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 14131532040300 its reverse (304023513141), we get a palindrome (14435555553441).

The spelling of 14131532040300 in words is "fourteen trillion, one hundred thirty-one billion, five hundred thirty-two million, forty thousand, three hundred".