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224132040430431 = 37193073135845859
BaseRepresentation
bin110010111101100011001110…
…101001110001001101011111
31002101120210222021011010010120
4302331203032221301031133
5213334134404322233211
62112404500554210023
765132001621441630
oct6275431651611537
91071523867133116
10224132040430431
1165462956792721
122117a35aa23913
13980a739ba4943
143d4c09766b887
151ada2c6e40d06
hexcbd8cea7135f

224132040430431 has 64 divisors (see below), whose sum is σ = 361833479884800. Its totient is φ = 120553003074816.

The previous prime is 224132040430423. The next prime is 224132040430439. The reversal of 224132040430431 is 134034040231422.

It is an interprime number because it is at equal distance from previous prime (224132040430423) and next prime (224132040430439).

It is not a de Polignac number, because 224132040430431 - 23 = 224132040430423 is a prime.

It is a super-2 number, since 2×2241320404304312 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 224132040430392 and 224132040430401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224132040430439) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35417380 + ... + 41263238.

It is an arithmetic number, because the mean of its divisors is an integer number (5653648123200).

Almost surely, 2224132040430431 is an apocalyptic number.

224132040430431 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

224132040430431 is a deficient number, since it is larger than the sum of its proper divisors (137701439454369).

224132040430431 is a wasteful number, since it uses less digits than its factorization.

224132040430431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5846508.

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 224132040430431 its reverse (134034040231422), we get a palindrome (358166080661853).

The spelling of 224132040430431 in words is "two hundred twenty-four trillion, one hundred thirty-two billion, forty million, four hundred thirty thousand, four hundred thirty-one".

Divisors: 1 3 7 19 21 57 133 307 313 399 921 939 2149 2191 5833 5947 6447 6573 17499 17841 40831 41629 96091 122493 124887 288273 672637 1825729 2017911 5477187 5845859 12780103 17537577 38340309 40921013 111071321 122763039 333213963 777499247 1794678713 1829753867 2332497741 5384036139 5489261601 12562750991 12808277069 34098895547 34765323473 37688252973 38424831207 102296686641 104295970419 238692268829 243357264311 561734437169 716076806487 730071792933 1685203311507 3932141060183 10672954306211 11796423180549 32018862918633 74710680143477 224132040430431