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431424002254614 = 232353251928125321
BaseRepresentation
bin110001000011000001011101…
…0011001101110011100010110
32002120112201202111102112112220
41202012002322121232130112
5423021422324034121424
64125321241152323210
7156605232646642365
oct14206027231563426
92076481674375486
10431424002254614
1111551298a0880a6
1240478a41543506
131569615519c495
147877066c657dc
1534d24dd351579
hex18860ba66e716

431424002254614 has 128 divisors (see below), whose sum is σ = 921141516911616. Its totient is φ = 134402611200000.

The previous prime is 431424002254579. The next prime is 431424002254643. The reversal of 431424002254614 is 416452200424134.

It is a super-2 number, since 2×4314240022546142 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17038177074 + ... + 17038202394.

It is an arithmetic number, because the mean of its divisors is an integer number (7196418100872).

Almost surely, 2431424002254614 is an apocalyptic number.

431424002254614 is an abundant number, since it is smaller than the sum of its proper divisors (489717514657002).

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

431424002254614 is a wasteful number, since it uses less digits than its factorization.

431424002254614 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34934.

The product of its (nonzero) digits is 737280, while the sum is 42.

Adding to 431424002254614 its reverse (416452200424134), we get a palindrome (847876202678748).

The spelling of 431424002254614 in words is "four hundred thirty-one trillion, four hundred twenty-four billion, two million, two hundred fifty-four thousand, six hundred fourteen".

Divisors: 1 2 3 6 23 46 53 69 106 138 159 251 318 502 753 1219 1506 2438 3657 5773 7314 9281 11546 13303 17319 18562 25321 26606 27843 34638 39909 50642 55686 75963 79818 151926 213463 305969 426926 491893 582383 611938 640389 917907 983786 1164766 1280778 1342013 1475679 1747149 1835814 2329531 2684026 2951358 3494298 4026039 4659062 6355571 6988593 8052078 11313539 12711142 13977186 19066713 22627078 30866299 33940617 38133426 53579213 61732598 67881234 92598897 107158426 123465143 146178133 160737639 185197794 235004201 246930286 292356266 321475278 336845263 370395429 438534399 470008402 673690526 705012603 740790858 877068798 1010535789 1410025206 2021071578 2839698289 5405096623 5679396578 7747441049 8519094867 10810193246 12455222653 15494882098 16215289869 17038189734 23242323147 24910445306 32430579738 37365667959 46484646294 58986054451 74731335918 117972108902 176958163353 286470121019 353916326706 572940242038 859410363057 1356679252373 1718820726114 2713358504746 3126260885903 4070037757119 6252521771806 8140075514238 9378782657709 18757565315418 71904000375769 143808000751538 215712001127307 431424002254614