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20340399331431 = 32109313611519283
BaseRepresentation
bin1001001111111110111100…
…10001101101100001100111
32200000112010101212012122100
410213333132101231201213
510131224114212101211
6111132130033103143
74166355025423524
oct447773621554147
980015111765570
1020340399331431
116532351170a53
1223461326b7ab3
13b47125b3108a
145046a29da14b
1525417910c156
hex127fde46d867

20340399331431 has 24 divisors (see below), whose sum is σ = 29429084099376. Its totient is φ = 13537896503040.

The previous prime is 20340399331379. The next prime is 20340399331477. The reversal of 20340399331431 is 13413399304302.

20340399331431 is a `hidden beast` number, since 203 + 4 + 0 + 3 + 9 + 9 + 3 + 3 + 1 + 431 = 666.

It is a de Polignac number, because none of the positive numbers 2k-20340399331431 is a prime.

It is a super-2 number, since 2×203403993314312 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20340399331531) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12628516 + ... + 14147798.

It is an arithmetic number, because the mean of its divisors is an integer number (1226211837474).

Almost surely, 220340399331431 is an apocalyptic number.

20340399331431 is a deficient number, since it is larger than the sum of its proper divisors (9088684767945).

20340399331431 is a wasteful number, since it uses less digits than its factorization.

20340399331431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1521743 (or 1521740 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 45.

The spelling of 20340399331431 in words is "twenty trillion, three hundred forty billion, three hundred ninety-nine million, three hundred thirty-one thousand, four hundred thirty-one".

Divisors: 1 3 9 1093 1361 3279 4083 9837 12249 1487573 1519283 4462719 4557849 13388157 13673547 1660576319 2067744163 4981728957 6203232489 14945186871 18609697467 2260044370159 6780133110477 20340399331431