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803343614128 = 241123933756671
BaseRepresentation
bin10111011000010110000…
…00101100000010110000
32211210120101201221021221
423230023000230002300
5101130221431123003
61413015001354424
7112016414024116
oct13541300540260
92753511657257
10803343614128
1128a772588560
1210b83a198a14
135a9a78bc583
142ac4c455ab6
1515d6bb0c7bd
hexbb0b02c0b0

803343614128 has 80 divisors (see below), whose sum is σ = 1710170542080. Its totient is φ = 362542924800.

The previous prime is 803343614119. The next prime is 803343614149. The reversal of 803343614128 is 821416343308.

It is a super-2 number, since 2×8033436141282 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14147233 + ... + 14203903.

It is an arithmetic number, because the mean of its divisors is an integer number (21377131776).

Almost surely, 2803343614128 is an apocalyptic number.

803343614128 is a gapful number since it is divisible by the number (88) 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 803343614128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (855085271040).

803343614128 is an abundant number, since it is smaller than the sum of its proper divisors (906826927952).

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

803343614128 is a wasteful number, since it uses less digits than its factorization.

803343614128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57266 (or 57260 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 43.

The spelling of 803343614128 in words is "eight hundred three billion, three hundred forty-three million, six hundred fourteen thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 44 88 176 239 337 478 674 956 1348 1912 2629 2696 3707 3824 5258 5392 7414 10516 14828 21032 29656 42064 56671 59312 80543 113342 161086 226684 322172 453368 623381 644344 885973 906736 1246762 1288688 1771946 2493524 3543892 4987048 7087784 9974096 13544369 14175568 19098127 27088738 38196254 54177476 76392508 108354952 148988059 152785016 210079397 216709904 297976118 305570032 420158794 595952236 840317588 1191904472 1680635176 2383808944 3361270352 4564452353 9128904706 18257809412 36515618824 50208975883 73031237648 100417951766 200835903532 401671807064 803343614128