| Base | Representation |
|---|---|
| bin | 11111101010101011… |
| … | …110010110101101010 |
| 3 | 10020202122222122222100 |
| 4 | 133222223302311222 |
| 5 | 1024114020320132 |
| 6 | 23341555234230 |
| 7 | 2312414152212 |
| oct | 375253626552 |
| 9 | 106678878870 |
| 10 | 34002120042 |
| 11 | 13469346060 |
| 12 | 670b2a8976 |
| 13 | 328b579777 |
| 14 | 1907b91242 |
| 15 | d4016c37c |
| hex | 7eaaf2d6a |
34002120042 has 96 divisors (see below), whose sum is σ = 85822364160. Its totient is φ = 9627408000.
The previous prime is 34002120023. The next prime is 34002120049. The reversal of 34002120042 is 24002120043.
34002120042 is a `hidden beast` number, since 3 + 400 + 21 + 200 + 42 = 666.
It is a super-2 number, since 2×340021200422 (a number of 22 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 34002119997 and 34002120024.
It is not an unprimeable number, because it can be changed into a prime (34002120049) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82492 + ... + 273512.
It is an arithmetic number, because the mean of its divisors is an integer number (893982960).
Almost surely, 234002120042 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 34002120042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42911182080).
34002120042 is an abundant number, since it is smaller than the sum of its proper divisors (51820244118).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
34002120042 is a wasteful number, since it uses less digits than its factorization.
34002120042 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 191100 (or 191097 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 18.
Adding to 34002120042 its reverse (24002120043), we get a palindrome (58004240085).
Subtracting from 34002120042 its reverse (24002120043), we obtain a palindrome (9999999999).
It can be divided in two parts, 340021 and 20042, that added together give a palindrome (360063).
The spelling of 34002120042 in words is "thirty-four billion, two million, one hundred twenty thousand, forty-two".
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