| Base | Representation |
|---|---|
| bin | 111010101100000111… |
| … | …1101101010000101100 |
| 3 | 110001022120021020021000 |
| 4 | 1311120033231100230 |
| 5 | 4031104322023030 |
| 6 | 133522142040300 |
| 7 | 12051153055602 |
| oct | 1653017552054 |
| 9 | 401276236230 |
| 10 | 126034564140 |
| 11 | 494a6253511 |
| 12 | 20514879090 |
| 13 | bb67495694 |
| 14 | 6158991872 |
| 15 | 3429b69860 |
| hex | 1d583ed42c |
126034564140 has 96 divisors (see below), whose sum is σ = 392906949120. Its totient is φ = 33540696000.
The previous prime is 126034564129. The next prime is 126034564169. The reversal of 126034564140 is 41465430621.
126034564140 is a `hidden beast` number, since 1 + 2 + 6 + 0 + 3 + 4 + 5 + 641 + 4 + 0 = 666.
It is a super-2 number, since 2×1260345641402 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 126034564095 and 126034564104.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27465 + ... + 502815.
It is an arithmetic number, because the mean of its divisors is an integer number (4092780720).
Almost surely, 2126034564140 is an apocalyptic number.
126034564140 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 126034564140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196453474560).
126034564140 is an abundant number, since it is smaller than the sum of its proper divisors (266872384980).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
126034564140 is a wasteful number, since it uses less digits than its factorization.
126034564140 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 475860 (or 475852 counting only the distinct ones).
The product of its (nonzero) digits is 69120, while the sum is 36.
Adding to 126034564140 its reverse (41465430621), we get a palindrome (167499994761).
The spelling of 126034564140 in words is "one hundred twenty-six billion, thirty-four million, five hundred sixty-four thousand, one hundred forty".
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