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431104323422432 = 251110192305752127
BaseRepresentation
bin110001000000101100100110…
…0000011110000100011100000
32002112102011121112022020222102
41202001121030003300203200
5423001203123244004212
64124514331521425532
7156543155006464322
oct14201311403604340
92075364545266872
10431104323422432
111153aa353783a30
1240426aa579b2a8
1315671c6a39589a
1478657bc361612
1534c902d2175c2
hex188164c0f08e0

431104323422432 has 96 divisors (see below), whose sum is σ = 926861119994880. Its totient is φ = 195751962081280.

The previous prime is 431104323422393. The next prime is 431104323422441. The reversal of 431104323422432 is 234224323401134.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 8270243153 + ... + 8270295279.

It is an arithmetic number, because the mean of its divisors is an integer number (9654803333280).

Almost surely, 2431104323422432 is an apocalyptic number.

It is an amenable number.

431104323422432 is an abundant number, since it is smaller than the sum of its proper divisors (495756796572448).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

431104323422432 is a wasteful number, since it uses less digits than its factorization.

431104323422432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76224 (or 76216 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 38.

Adding to 431104323422432 its reverse (234224323401134), we get a palindrome (665328646823566).

The spelling of 431104323422432 in words is "four hundred thirty-one trillion, one hundred four billion, three hundred twenty-three million, four hundred twenty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 1019 2038 4076 8152 11209 16304 22418 23057 32608 44836 46114 52127 89672 92228 104254 179344 184456 208508 253627 358688 368912 417016 507254 573397 737824 834032 1014508 1146794 1668064 2029016 2293588 4058032 4587176 8116064 9174352 18348704 23495083 46990166 53117413 93980332 106234826 187960664 212469652 258445913 375921328 424939304 516891826 584291543 751842656 849878608 1033783652 1168583086 1201892239 1699757216 2067567304 2337166172 2403784478 4135134608 4674332344 4807568956 8270269216 9348664688 9615137912 13220814629 18697329376 19230275824 26441629258 38460551648 52883258516 105766517032 211533034064 423066068128 1224728191541 2449456383082 4898912766164 9797825532328 13472010106951 19595651064656 26944020213902 39191302129312 53888040427804 107776080855608 215552161711216 431104323422432