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20144041032213 = 327678395688127
BaseRepresentation
bin1001001010010001001100…
…11010001111101000010101
32122022202021212002002110200
410211020212122033220111
510120014444001012323
6110502013353211113
74146234054422130
oct445104632175025
978282255062420
1020144041032213
11646704901051a
122314072700a99
13b31762132a47
144d8d96441217
1524ded5735443
hex12522668fa15

20144041032213 has 48 divisors (see below), whose sum is σ = 33790210621440. Its totient is φ = 11325559421088.

The previous prime is 20144041032197. The next prime is 20144041032217. The reversal of 20144041032213 is 31223014044102.

20144041032213 is a `hidden beast` number, since 2 + 0 + 1 + 4 + 4 + 0 + 410 + 32 + 213 = 666.

It is not a de Polignac number, because 20144041032213 - 24 = 20144041032197 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20144041032217) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 697356 + ... + 6385482.

It is an arithmetic number, because the mean of its divisors is an integer number (703962721280).

Almost surely, 220144041032213 is an apocalyptic number.

It is an amenable number.

20144041032213 is a deficient number, since it is larger than the sum of its proper divisors (13646169589227).

20144041032213 is a wasteful number, since it uses less digits than its factorization.

20144041032213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5689046 (or 5689043 counting only the distinct ones).

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

Adding to 20144041032213 its reverse (31223014044102), we get a palindrome (51367055076315).

The spelling of 20144041032213 in words is "twenty trillion, one hundred forty-four billion, forty-one million, thirty-two thousand, two hundred thirteen".

Divisors: 1 3 7 9 21 63 67 201 469 603 839 1407 2517 4221 5873 7551 17619 52857 56213 168639 393491 505917 1180473 3541419 5688127 17064381 39816889 51193143 119450667 358352001 381104509 1143313527 2667731563 3429940581 4772338553 8003194689 14317015659 24009584067 33406369871 42951046977 100219109613 300657328839 319746683051 959240049153 2238226781357 2877720147459 6714680344071 20144041032213