| Base | Representation |
|---|---|
| bin | 111011001001000110… |
| … | …1010100000010000000 |
| 3 | 110010211100002212010000 |
| 4 | 1312102031110002000 |
| 5 | 4040102243440130 |
| 6 | 134202441040000 |
| 7 | 12114231546453 |
| oct | 1662215240200 |
| 9 | 403740085100 |
| 10 | 127007015040 |
| 11 | 49955170244 |
| 12 | 20746486000 |
| 13 | bc90aa8309 |
| 14 | 620bbab49a |
| 15 | 3485208260 |
| hex | 1d92354080 |
127007015040 has 320 divisors, whose sum is σ = 455377590360. Its totient is φ = 33733214208.
The previous prime is 127007015039. The next prime is 127007015071. The reversal of 127007015040 is 40510700721.
It can be written as a sum of positive squares in 4 ways, for example, as 114855921216 + 12151093824 = 338904^2 + 110232^2 .
It is a tau number, because it is divible by the number of its divisors (320).
It is a super-2 number, since 2×1270070150402 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a junction number, because it is equal to n+sod(n) for n = 127007014995 and 127007015013.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13318114 + ... + 13327646.
Almost surely, 2127007015040 is an apocalyptic number.
127007015040 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 127007015040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227688795180).
127007015040 is an abundant number, since it is smaller than the sum of its proper divisors (328370575320).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
127007015040 is an equidigital number, since it uses as much as digits as its factorization.
127007015040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 9821 (or 9800 counting only the distinct ones).
The product of its (nonzero) digits is 1960, while the sum is 27.
Adding to 127007015040 its reverse (40510700721), we get a palindrome (167517715761).
The spelling of 127007015040 in words is "one hundred twenty-seven billion, seven million, fifteen thousand, forty".
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