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128349263040 = 2635133697149
BaseRepresentation
bin111011110001000110…
…1100101010011000000
3110021021212210010012220
41313202031211103000
54100324402404130
6134543550051040
712162420510105
oct1674215452300
9407255703186
10128349263040
114a4838a4009
1220a5baa9a80
13c145bb60bb
1462d8168aac
153512e91410
hex1de23654c0

128349263040 has 56 divisors (see below), whose sum is σ = 407508913200. Its totient is φ = 34226469888.

The previous prime is 128349262991. The next prime is 128349263051. The reversal of 128349263040 is 40362943821.

128349263040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1283492630402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 128349262983 and 128349263001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66847615 + ... + 66849534.

Almost surely, 2128349263040 is an apocalyptic number.

128349263040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

128349263040 is an abundant number, since it is smaller than the sum of its proper divisors (279159650160).

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

128349263040 is a wasteful number, since it uses less digits than its factorization.

128349263040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133697169 (or 133697159 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 128349263040 in words is "one hundred twenty-eight billion, three hundred forty-nine million, two hundred sixty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 133697149 267394298 401091447 534788596 668485745 802182894 1069577192 1336971490 1604365788 2005457235 2139154384 2673942980 3208731576 4010914470 4278308768 5347885960 6417463152 8021828940 8556617536 10695771920 12834926304 16043657880 21391543840 25669852608 32087315760 42783087680 64174631520 128349263040