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431426417741 = 111716737936451
BaseRepresentation
bin1100100011100110000…
…01001011010001001101
31112020120211220210122122
412101303001023101031
524032030130331431
6530110005222325
743112102021114
oct6216301132115
91466524823578
10431426417741
11156a6aa69170
126b743a019a5
13318b63a14b7
1416c49c38c7b
15b350884a7b
hex647304b44d

431426417741 has 32 divisors (see below), whose sum is σ = 502652666880. Its totient is φ = 365946336000.

The previous prime is 431426417711. The next prime is 431426417743. The reversal of 431426417741 is 147714624134.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-431426417741 is a prime.

It is a super-2 number, since 2×4314264177412 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 431426417692 and 431426417701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431426417743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11817566 + ... + 11854016.

It is an arithmetic number, because the mean of its divisors is an integer number (15707895840).

Almost surely, 2431426417741 is an apocalyptic number.

It is an amenable number.

431426417741 is a deficient number, since it is larger than the sum of its proper divisors (71226249139).

431426417741 is a wasteful number, since it uses less digits than its factorization.

431426417741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37025.

The product of its digits is 451584, while the sum is 44.

The spelling of 431426417741 in words is "four hundred thirty-one billion, four hundred twenty-six million, four hundred seventeen thousand, seven hundred forty-one".

Divisors: 1 11 17 167 187 379 1837 2839 4169 6443 31229 36451 63293 70873 400961 619667 696223 1075981 6087317 6816337 11835791 13814929 66960487 103484389 151964219 234853793 1138328279 2307093143 2583391723 25378024573 39220583431 431426417741