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43998706128 = 243131734711953
BaseRepresentation
bin101000111110100001…
…101111100111010000
311012120100022212002110
4220332201233213100
51210102132044003
632113540545320
73115220555106
oct507641574720
9135510285073
1043998706128
1117729139153
12863b0b2240
1341c2640070
1421b56a5c76
151227aa3a03
hexa3e86f9d0

43998706128 has 160 divisors (see below), whose sum is σ = 129991430016. Its totient is φ = 12703924224.

The previous prime is 43998706117. The next prime is 43998706181. The reversal of 43998706128 is 82160789934.

It is a super-2 number, since 2×439987061282 (a number of 22 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 (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3675000 + ... + 3686952.

Almost surely, 243998706128 is an apocalyptic number.

43998706128 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43998706128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64995715008).

43998706128 is an abundant number, since it is smaller than the sum of its proper divisors (85992723888).

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

43998706128 is a wasteful number, since it uses less digits than its factorization.

43998706128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12341 (or 12335 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 57.

The spelling of 43998706128 in words is "forty-three billion, nine hundred ninety-eight million, seven hundred six thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 34 39 48 51 52 68 78 102 104 136 156 204 208 221 272 312 347 408 442 624 663 694 816 884 1041 1326 1388 1768 2082 2652 2776 3536 4164 4511 5304 5552 5899 8328 9022 10608 11798 11953 13533 16656 17697 18044 23596 23906 27066 35394 35859 36088 47192 47812 54132 70788 71718 72176 76687 94384 95624 108264 141576 143436 153374 155389 191248 203201 216528 230061 283152 286872 306748 310778 406402 460122 466167 573744 609603 613496 621556 812804 920244 932334 1219206 1226992 1243112 1625608 1840488 1864668 2438412 2486224 2641613 3251216 3680976 3729336 4147691 4876824 5283226 7458672 7924839 8295382 9753648 10566452 12443073 15849678 16590764 21132904 24886146 31699356 33181528 42265808 49772292 53919983 63398712 66363056 70510747 99544584 107839966 126797424 141021494 161759949 199089168 211532241 215679932 282042988 323519898 423064482 431359864 564085976 647039796 846128964 862719728 916639711 1128171952 1294079592 1692257928 1833279422 2588159184 2749919133 3384515856 3666558844 5499838266 7333117688 10999676532 14666235376 21999353064 43998706128