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434420011431 = 33721975233187
BaseRepresentation
bin1100101001001010111…
…00110101000110100111
31112112022110220010012000
412110211130311012213
524104143010331211
6531323024300343
743246222112400
oct6244534650647
91475273803160
10434420011431
1115826685343a
127023a4716b3
1331c72651b03
14170516549a7
15b4785b0656
hex65257351a7

434420011431 has 96 divisors (see below), whose sum is σ = 754135937280. Its totient is φ = 246430320192.

The previous prime is 434420011429. The next prime is 434420011439. The reversal of 434420011431 is 134110024434.

434420011431 is a `hidden beast` number, since 4 + 344 + 200 + 114 + 3 + 1 = 666.

It is not a de Polignac number, because 434420011431 - 21 = 434420011429 is a prime.

It is a super-2 number, since 2×4344200114312 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 434420011395 and 434420011404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434420011439) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 136308420 + ... + 136311606.

It is an arithmetic number, because the mean of its divisors is an integer number (7855582680).

Almost surely, 2434420011431 is an apocalyptic number.

434420011431 is a deficient number, since it is larger than the sum of its proper divisors (319715925849).

434420011431 is a wasteful number, since it uses less digits than its factorization.

434420011431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3930 (or 3917 counting only the distinct ones).

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

Adding to 434420011431 its reverse (134110024434), we get a palindrome (568530035865).

The spelling of 434420011431 in words is "four hundred thirty-four billion, four hundred twenty million, eleven thousand, four hundred thirty-one".

Divisors: 1 3 7 9 21 27 49 63 147 189 197 441 523 591 1323 1379 1569 1773 3187 3661 4137 4707 5319 9561 9653 10983 12411 14121 22309 25627 28683 28959 32949 37233 66927 76881 86049 86877 98847 103031 156163 200781 230643 260631 309093 468489 602343 627839 691929 721217 927279 1405467 1666801 1883517 2163651 2781837 4216401 4394873 5000403 5048519 5650551 6490953 11667607 13184619 15001209 15145557 16951653 19472859 30764111 35002821 39553857 45003627 45436671 81673249 92292333 105008463 118661571 136310013 245019747 276876999 315025389 328359797 735059241 830630997 985079391 2205177723 2298518579 2955238173 6895555737 8865714519 16089630053 20686667211 48268890159 62060001633 144806670477 434420011431