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141413340000 = 2535410722027
BaseRepresentation
bin1000001110110011100…
…1000101001101100000
3111112000100010222202010
42003230321011031200
54304103303340000
6144544150352520
713134232362042
oct2035471051540
9445010128663
10141413340000
1154a78164429
12234a705b740
131044863165a
146bb7213a92
153a29d4dd50
hex20ece45360

141413340000 has 240 divisors, whose sum is σ = 468220471488. Its totient is φ = 37356096000.

The previous prime is 141413339999. The next prime is 141413340067. The reversal of 141413340000 is 43314141.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×1414133400003 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6408987 + ... + 6431013.

Almost surely, 2141413340000 is an apocalyptic number.

141413340000 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 141413340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234110235744).

141413340000 is an abundant number, since it is smaller than the sum of its proper divisors (326807131488).

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

141413340000 is a wasteful number, since it uses less digits than its factorization.

141413340000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22167 (or 22144 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 141413340000 its reverse (43314141), we get a palindrome (141456654141).

The spelling of 141413340000 in words is "one hundred forty-one billion, four hundred thirteen million, three hundred forty thousand".