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1424623037040 = 2432571731647829
BaseRepresentation
bin10100101110110010001…
…001100110101001110000
312001012012102120200022200
4110232302021212221300
5141320111444141130
63010243543503200
7204632326005030
oct24566211465160
95035172520280
101424623037040
114aa1a7623485
121b0127457b00
13a4459006688
144cd488a78c0
15270cebbe760
hex14bb2266a70

1424623037040 has 960 divisors, whose sum is σ = 5992690728960. Its totient is φ = 295771668480.

The previous prime is 1424623037021. The next prime is 1424623037053. The reversal of 1424623037040 is 407303264241.

1424623037040 is a `hidden beast` number, since 1 + 4 + 24 + 623 + 0 + 3 + 7 + 0 + 4 + 0 = 666.

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 = 1424623036986 and 1424623037004.

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 1718483346 + ... + 1718484174.

It is an arithmetic number, because the mean of its divisors is an integer number (6242386176).

Almost surely, 21424623037040 is an apocalyptic number.

1424623037040 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 1424623037040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2996345364480).

1424623037040 is an abundant number, since it is smaller than the sum of its proper divisors (4568067691920).

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

1424623037040 is a wasteful number, since it uses less digits than its factorization.

1424623037040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1550 (or 1541 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The spelling of 1424623037040 in words is "one trillion, four hundred twenty-four billion, six hundred twenty-three million, thirty-seven thousand, forty".