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131412433224 = 23361831081477
BaseRepresentation
bin111101001100011001…
…0101001100101001000
3110120012100200021202110
41322120302221211020
54123113040330344
6140211532302320
712331344152322
oct1723062514510
9416170607673
10131412433224
1150805990116
12215759119a0
13c5136b7537
146508cd6612
153641d623b9
hex1e98ca9948

131412433224 has 64 divisors (see below), whose sum is σ = 337940245440. Its totient is φ = 42566895360.

The previous prime is 131412433189. The next prime is 131412433237. The reversal of 131412433224 is 422334214131.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 131412433191 and 131412433200.

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, 419227 + ... + 662250.

It is an arithmetic number, because the mean of its divisors is an integer number (5280316335).

Almost surely, 2131412433224 is an apocalyptic number.

It is an amenable number.

131412433224 is an abundant number, since it is smaller than the sum of its proper divisors (206527812216).

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

131412433224 is a wasteful number, since it uses less digits than its factorization.

131412433224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1081630 (or 1081626 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

Adding to 131412433224 its reverse (422334214131), we get a palindrome (553746647355).

The spelling of 131412433224 in words is "one hundred thirty-one billion, four hundred twelve million, four hundred thirty-three thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 61 83 122 166 183 244 249 332 366 488 498 664 732 996 1464 1992 5063 10126 15189 20252 30378 40504 60756 121512 1081477 2162954 3244431 4325908 6488862 8651816 12977724 25955448 65970097 89762591 131940194 179525182 197910291 263880388 269287773 359050364 395820582 527760776 538575546 718100728 791641164 1077151092 1583282328 2154302184 5475518051 10951036102 16426554153 21902072204 32853108306 43804144408 65706216612 131412433224