| Base | Representation |
|---|---|
| bin | 111101001000101110010… |
| … | …000101010011011110100 |
| 3 | 112212122011121212001222000 |
| 4 | 331020232100222123310 |
| 5 | 1022313132024314130 |
| 6 | 12534010212335300 |
| 7 | 612346664636010 |
| oct | 75105620523364 |
| 9 | 15778147761860 |
| 10 | 4201254135540 |
| 11 | 137a818484420 |
| 12 | 57a293614530 |
| 13 | 24623abb4937 |
| 14 | 1074adc03540 |
| 15 | 7443e5b0260 |
| hex | 3d22e42a6f4 |
4201254135540 has 1152 divisors, whose sum is σ = 16974984499200. Its totient is φ = 838008944640.
The previous prime is 4201254135527. The next prime is 4201254135613. The reversal of 4201254135540 is 455314521024.
4201254135540 is a `hidden beast` number, since 4 + 20 + 1 + 2 + 541 + 3 + 55 + 40 = 666.
4201254135540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×42012541355402 (a number of 26 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 = 4201254135495 and 4201254135504.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 11085103071 + ... + 11085103449.
It is an arithmetic number, because the mean of its divisors is an integer number (14735229600).
Almost surely, 24201254135540 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 4201254135540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8487492249600).
4201254135540 is an abundant number, since it is smaller than the sum of its proper divisors (12773730363660).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4201254135540 is a wasteful number, since it uses less digits than its factorization.
4201254135540 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 790 (or 753 counting only the distinct ones).
The product of its (nonzero) digits is 96000, while the sum is 36.
Adding to 4201254135540 its reverse (455314521024), we get a palindrome (4656568656564).
The spelling of 4201254135540 in words is "four trillion, two hundred one billion, two hundred fifty-four million, one hundred thirty-five thousand, five hundred forty".
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