| Base | Representation |
|---|---|
| bin | 1000000011101100001… |
| … | …0000000000000000000 |
| 3 | 111020022101012202101000 |
| 4 | 2000323002000000000 |
| 5 | 4232000402133004 |
| 6 | 143332113012000 |
| 7 | 13000256630460 |
| oct | 2007302000000 |
| 9 | 436271182330 |
| 10 | 138429333504 |
| 11 | 53786828160 |
| 12 | 229b3854000 |
| 13 | 10091359a37 |
| 14 | 69b2bb1ba0 |
| 15 | 3902db8c39 |
| hex | 203b080000 |
138429333504 has 640 divisors, whose sum is σ = 515395584000. Its totient is φ = 35672555520.
The previous prime is 138429333499. The next prime is 138429333509. The reversal of 138429333504 is 405333924831.
138429333504 is a `hidden beast` number, since 1 + 3 + 8 + 4 + 293 + 3 + 350 + 4 = 666.
It is an interprime number because it is at equal distance from previous prime (138429333499) and next prime (138429333509).
It is a self number, because there is not a number n which added to its sum of digits gives 138429333504.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (138429333509) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1089994689 + ... + 1089994815.
It is an arithmetic number, because the mean of its divisors is an integer number (805305600).
Almost surely, 2138429333504 is an apocalyptic number.
138429333504 is a gapful number since it is divisible by the number (14) 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 138429333504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257697792000).
138429333504 is an abundant number, since it is smaller than the sum of its proper divisors (376966250496).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
138429333504 is an frugal number, since it uses more digits than its factorization.
138429333504 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 192 (or 150 counting only the distinct ones).
The product of its (nonzero) digits is 933120, while the sum is 45.
The spelling of 138429333504 in words is "one hundred thirty-eight billion, four hundred twenty-nine million, three hundred thirty-three thousand, five hundred four".
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