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4239304118742 = 2371179722935021
BaseRepresentation
bin111101101100001010001…
…101110101000111010110
3120000021101101121111022010
4331230022031311013112
51023424043323244432
613003302011445050
7615164623312440
oct75541215650726
916007341544263
104239304118742
111394973724a30
12585732456786
132499c2c706b4
1410927d407490
1575419ca93cc
hex3db0a3751d6

4239304118742 has 128 divisors (see below), whose sum is σ = 10590720150528. Its totient is φ = 1099037836800.

The previous prime is 4239304118737. The next prime is 4239304118747. The reversal of 4239304118742 is 2478114039324.

It is an interprime number because it is at equal distance from previous prime (4239304118737) and next prime (4239304118747).

It is a super-2 number, since 2×42393041187422 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4239304118691 and 4239304118700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4239304118747) by changing a digit.

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, 844312192 + ... + 844317212.

It is an arithmetic number, because the mean of its divisors is an integer number (82740001176).

Almost surely, 24239304118742 is an apocalyptic number.

4239304118742 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4239304118742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5295360075264).

4239304118742 is an abundant number, since it is smaller than the sum of its proper divisors (6351416031786).

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

4239304118742 is a wasteful number, since it uses less digits than its factorization.

4239304118742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8134.

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 4239304118742 in words is "four trillion, two hundred thirty-nine billion, three hundred four million, one hundred eighteen thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 462 797 1594 2293 2391 4586 4782 5021 5579 6879 8767 10042 11158 13758 15063 16051 16737 17534 25223 26301 30126 32102 33474 35147 48153 50446 52602 55231 61369 70294 75669 96306 105441 110462 122738 151338 165693 176561 184107 210882 331386 353122 368214 386617 529683 773234 1059366 1159851 1827521 2319702 3655042 4001737 5482563 8003474 10965126 11513153 12005211 12792647 20102731 23026306 24010422 25585294 28012159 34539459 38377941 40205462 44019107 56024318 60308193 69078918 76755882 80592071 84036477 88038214 120616386 126644683 132057321 140719117 161184142 168072954 241776213 253289366 264114642 281438234 308133749 379934049 422157351 483552426 616267498 759868098 844314702 886512781 924401247 1773025562 1848802494 2659538343 5319076686 9175982941 18351965882 27527948823 55055897646 64231880587 100935812351 128463761174 192695641761 201871624702 302807437053 385391283522 605614874106 706550686457 1413101372914 2119652059371 4239304118742