| Base | Representation |
|---|---|
| bin | 11101101001010001111010… |
| … | …111010111000111000000000 |
| 3 | 122002122012210121110012122000 |
| 4 | 131221101322322320320000 |
| 5 | 114042121410402320130 |
| 6 | 1141143441454544000 |
| 7 | 36314436106126200 |
| oct | 3551217272707000 |
| 9 | 562565717405560 |
| 10 | 130380089495040 |
| 11 | 385a7981577550 |
| 12 | 12758650208000 |
| 13 | 5799a35c21a38 |
| 14 | 242a603cd4400 |
| 15 | 1011743003260 |
| hex | 76947aeb8e00 |
130380089495040 has 3840 divisors, whose sum is σ = 627179307955200. Its totient is φ = 25297787289600.
The previous prime is 130380089494973. The next prime is 130380089495077. The reversal of 130380089495040 is 40594980083031.
130380089495040 is a `hidden beast` number, since 1 + 3 + 0 + 38 + 0 + 0 + 89 + 495 + 0 + 40 = 666.
It is a tau number, because it is divible by the number of its divisors (3840).
It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 88035171100 + ... + 88035172580.
It is an arithmetic number, because the mean of its divisors is an integer number (163327944780).
Almost surely, 2130380089495040 is an apocalyptic number.
130380089495040 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 130380089495040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313589653977600).
130380089495040 is an abundant number, since it is smaller than the sum of its proper divisors (496799218460160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
130380089495040 is a wasteful number, since it uses less digits than its factorization.
130380089495040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1694 (or 1665 counting only the distinct ones).
The product of its (nonzero) digits is 3732480, while the sum is 54.
The spelling of 130380089495040 in words is "one hundred thirty trillion, three hundred eighty billion, eighty-nine million, four hundred ninety-five thousand, forty".
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