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1004204140020 = 223255578911889
BaseRepresentation
bin11101001110011110011…
…10110010010111110100
310120000000201020212101200
432213033032302113310
5112423102224440040
62045154111452500
7132360054232014
oct16471716622764
93500021225350
101004204140020
1135797606a584
12142755b27130
1373908293a63
1436864939c44
151b1c58b2630
hexe9cf3b25f4

1004204140020 has 36 divisors (see below), whose sum is σ = 3046085891940. Its totient is φ = 267787770624.

The previous prime is 1004204140007. The next prime is 1004204140061. The reversal of 1004204140020 is 200414024001.

1004204140020 is a `hidden beast` number, since 100 + 420 + 4 + 140 + 0 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 636488031204 + 367716108816 = 797802^2 + 606396^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1004204139975 and 1004204140002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2789455765 + ... + 2789456124.

Almost surely, 21004204140020 is an apocalyptic number.

1004204140020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1004204140020 is an abundant number, since it is smaller than the sum of its proper divisors (2041881751920).

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

1004204140020 is a wasteful number, since it uses less digits than its factorization.

1004204140020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5578911904 (or 5578911899 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 1004204140020 its reverse (200414024001), we get a palindrome (1204618164021).

The spelling of 1004204140020 in words is "one trillion, four billion, two hundred four million, one hundred forty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 5578911889 11157823778 16736735667 22315647556 27894559445 33473471334 50210207001 55789118890 66946942668 83683678335 100420414002 111578237780 167367356670 200840828004 251051035005 334734713340 502102070010 1004204140020