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1416404183040 = 2113257111759199
BaseRepresentation
bin10100100111001000010…
…001001010100000000000
312000101222122100122011200
4110213020101022200000
5141201243432324130
63002404225141200
7204221546623410
oct24471021124000
95011878318150
101416404183040
114a676a265860
121aa612a8a800
13a3749337662
144c7a9110640
1526c9d393760
hex149c844a800

1416404183040 has 2304 divisors, whose sum is σ = 6623285760000. Its totient is φ = 270941552640.

The previous prime is 1416404183021. The next prime is 1416404183059. The reversal of 1416404183040 is 403814046141.

It is a happy number.

1416404183040 is a `hidden beast` number, since 1 + 4 + 1 + 640 + 4 + 1 + 8 + 3 + 0 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1416404183021) and next prime (1416404183059).

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1416404182986 and 1416404183004.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7117608861 + ... + 7117609059.

It is an arithmetic number, because the mean of its divisors is an integer number (2874690000).

Almost surely, 21416404183040 is an apocalyptic number.

1416404183040 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 1416404183040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3311642880000).

1416404183040 is an abundant number, since it is smaller than the sum of its proper divisors (5206881576960).

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

1416404183040 is a wasteful number, since it uses less digits than its factorization.

1416404183040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 1416404183040 in words is "one trillion, four hundred sixteen billion, four hundred four million, one hundred eighty-three thousand, forty".