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2004141132520 = 23565376728221
BaseRepresentation
bin11101001010100000000…
…111101100101011101000
321002121001001010011211121
4131022200013230223220
5230313440112220040
64132404551505024
7264536325356512
oct35124007545350
97077031104747
102004141132520
11702a5146aa5a
122844ba988174
13116cb349b747
146d002860bb2
15371eb82ec4a
hex1d2a01ecae8

2004141132520 has 32 divisors (see below), whose sum is σ = 4516223146920. Its totient is φ = 800428791040.

The previous prime is 2004141132509. The next prime is 2004141132523. The reversal of 2004141132520 is 252311414002.

It can be written as a sum of positive squares in 4 ways, for example, as 651065016996 + 1353076115524 = 806886^2 + 1163218^2 .

It is not an unprimeable number, because it can be changed into a prime (2004141132523) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 38337991 + ... + 38390230.

Almost surely, 22004141132520 is an apocalyptic number.

2004141132520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2004141132520 is an abundant number, since it is smaller than the sum of its proper divisors (2512082014400).

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

2004141132520 is a wasteful number, since it uses less digits than its factorization.

2004141132520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76728885 (or 76728881 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 2004141132520 its reverse (252311414002), we get a palindrome (2256452546522).

The spelling of 2004141132520 in words is "two trillion, four billion, one hundred forty-one million, one hundred thirty-two thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 653 1306 2612 3265 5224 6530 13060 26120 76728221 153456442 306912884 383641105 613825768 767282210 1534564420 3069128840 50103528313 100207056626 200414113252 250517641565 400828226504 501035283130 1002070566260 2004141132520