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4032041213421 = 3213317499321773
BaseRepresentation
bin111010101011001000011…
…000100101110111101101
3112021110101212212222201100
4322223020120211313231
51012030110022312141
612324143312233313
7564206511554364
oct72531030456755
915243355788640
104032041213421
111314a85171541
1255152a53b839
132332b2037b10
14dd21a8d07db
156ed38dd80b6
hex3aac8625ded

4032041213421 has 48 divisors (see below), whose sum is σ = 6293398967856. Its totient is φ = 2472819867648.

The previous prime is 4032041213393. The next prime is 4032041213449. The reversal of 4032041213421 is 1243121402304.

4032041213421 is a `hidden beast` number, since 4 + 0 + 3 + 20 + 4 + 1 + 213 + 421 = 666.

It is an interprime number because it is at equal distance from previous prime (4032041213393) and next prime (4032041213449).

It can be written as a sum of positive squares in 8 ways, for example, as 1875637072521 + 2156404140900 = 1369539^2 + 1468470^2 .

It is not a de Polignac number, because 4032041213421 - 213 = 4032041205229 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4032041218421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 185174491 + ... + 185196263.

It is an arithmetic number, because the mean of its divisors is an integer number (131112478497).

Almost surely, 24032041213421 is an apocalyptic number.

It is an amenable number.

4032041213421 is a deficient number, since it is larger than the sum of its proper divisors (2261357754435).

4032041213421 is a wasteful number, since it uses less digits than its factorization.

4032041213421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27102 (or 27099 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 4032041213421 its reverse (1243121402304), we get a palindrome (5275162615725).

The spelling of 4032041213421 in words is "four trillion, thirty-two billion, forty-one million, two hundred thirteen thousand, four hundred twenty-one".

Divisors: 1 3 9 13 39 117 317 951 2853 4121 4993 12363 14979 21773 37089 44937 64909 65319 194727 195957 283049 584181 849147 1582781 2547441 4748343 6902041 14245029 20576153 20706123 61728459 62118369 89726533 108712589 185185377 269179599 326137767 807538797 978413301 1413263657 4239790971 12719372913 34461890713 103385672139 310157016417 448004579269 1344013737807 4032041213421