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1414812660000 = 25354374314821
BaseRepresentation
bin10100100101101001011…
…001111111000100100000
312000020212201121212222220
4110211221121333010200
5141140014020110000
63001542253231040
7204134243120505
oct24455131770440
95006781555886
101414812660000
114a6022953a63
121aa249a92480
13a35546ac14c
144c6979c54ac
1526c087bb1a0
hex1496967f120

1414812660000 has 480 divisors, whose sum is σ = 4877470559808. Its totient is φ = 358525440000.

The previous prime is 1414812659993. The next prime is 1414812660073. The reversal of 1414812660000 is 662184141.

It is a tau number, because it is divible by the number of its divisors (480).

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 79 ways as a sum of consecutive naturals, for example, 95452590 + ... + 95467410.

Almost surely, 21414812660000 is an apocalyptic number.

1414812660000 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 1414812660000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2438735279904).

1414812660000 is an abundant number, since it is smaller than the sum of its proper divisors (3462657899808).

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

1414812660000 is a wasteful number, since it uses less digits than its factorization.

1414812660000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14934 (or 14911 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The spelling of 1414812660000 in words is "one trillion, four hundred fourteen billion, eight hundred twelve million, six hundred sixty thousand".