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1414268663808 = 21137311132192
BaseRepresentation
bin10100100101001000111…
…110110011100000000000
312000012110211000000111210
4110211020332303200000
5141132410234220213
63001412301410120
7204114616203000
oct24451076634000
95005424000453
101414268663808
114a5873877630
121aa117869940
13a3498a91600
144c64565a000
1526bc5b620c3
hex14948fb3800

1414268663808 has 1728 divisors, whose sum is σ = 5481901152000. Its totient is φ = 321238794240.

The previous prime is 1414268663807. The next prime is 1414268663839. The reversal of 1414268663808 is 8083668624141.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1414268663803) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 74435192823 + ... + 74435192841.

It is an arithmetic number, because the mean of its divisors is an integer number (3172396500).

Almost surely, 21414268663808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1414268663808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2740950576000).

1414268663808 is an abundant number, since it is smaller than the sum of its proper divisors (4067632488192).

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

1414268663808 is a wasteful number, since it uses less digits than its factorization.

1414268663808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 57.

The spelling of 1414268663808 in words is "one trillion, four hundred fourteen billion, two hundred sixty-eight million, six hundred sixty-three thousand, eight hundred eight".