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15128068343040 = 283551715491847
BaseRepresentation
bin1101110000100100011100…
…1000111100010100000000
31222120020012002112021200000
43130021013020330110000
53440324240443434130
652101423314400000
73120652431145032
oct334110710742400
958506162467600
1015128068343040
1149028612121a4
121843b07590000
13859755b58513
143a42b95d5c52
151b37b0b15260
hexdc24723c500

15128068343040 has 864 divisors, whose sum is σ = 57541304620800. Its totient is φ = 3792343007232.

The previous prime is 15128068343009. The next prime is 15128068343107. The reversal of 15128068343040 is 4034386082151.

15128068343040 is a `hidden beast` number, since 1 + 5 + 1 + 280 + 68 + 3 + 4 + 304 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×151280683430402 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 8190615397 + ... + 8190617243.

It is an arithmetic number, because the mean of its divisors is an integer number (66598732200).

Almost surely, 215128068343040 is an apocalyptic number.

15128068343040 is a gapful number since it is divisible by the number (10) 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 15128068343040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28770652310400).

15128068343040 is an abundant number, since it is smaller than the sum of its proper divisors (42413236277760).

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

15128068343040 is a wasteful number, since it uses less digits than its factorization.

15128068343040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3449 (or 3423 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 15128068343040 in words is "fifteen trillion, one hundred twenty-eight billion, sixty-eight million, three hundred forty-three thousand, forty".