| Base | Representation |
|---|---|
| bin | 1000000011110111100… |
| … | …1110001101010100000 |
| 3 | 111020102201212100010000 |
| 4 | 2000331321301222200 |
| 5 | 4232100220244110 |
| 6 | 143340553340000 |
| 7 | 13001413256565 |
| oct | 2007571615240 |
| 9 | 436381770100 |
| 10 | 138477509280 |
| 11 | 53800a42350 |
| 12 | 22a07a07600 |
| 13 | 1009b326a06 |
| 14 | 69b935286c |
| 15 | 39072331c0 |
| hex | 203de71aa0 |
138477509280 has 480 divisors, whose sum is σ = 564509373120. Its totient is φ = 31595028480.
The previous prime is 138477509273. The next prime is 138477509281. The reversal of 138477509280 is 82905774831.
It is a happy number.
138477509280 is a `hidden beast` number, since 1 + 3 + 8 + 477 + 5 + 0 + 92 + 80 = 666.
It is a tau number, because it is divible by the number of its divisors (480).
It is a super-2 number, since 2×1384775092802 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is not an unprimeable number, because it can be changed into a prime (138477509281) by changing a digit.
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 79 ways as a sum of consecutive naturals, for example, 2394951 + ... + 2452089.
It is an arithmetic number, because the mean of its divisors is an integer number (1176061194).
Almost surely, 2138477509280 is an apocalyptic number.
138477509280 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 138477509280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282254686560).
138477509280 is an abundant number, since it is smaller than the sum of its proper divisors (426031863840).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
138477509280 is a wasteful number, since it uses less digits than its factorization.
138477509280 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 57194 (or 57177 counting only the distinct ones).
The product of its (nonzero) digits is 3386880, while the sum is 54.
The spelling of 138477509280 in words is "one hundred thirty-eight billion, four hundred seventy-seven million, five hundred nine thousand, two hundred eighty".
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