| Base | Representation |
|---|---|
| bin | 10011001100011111011111… |
| … | …00011010100010000000000 |
| 3 | 12112110022002122200021221000 |
| 4 | 21212033233203110100000 |
| 5 | 21013034414113133100 |
| 6 | 225435151040332000 |
| 7 | 11614422366260565 |
| oct | 1146175743242000 |
| 9 | 175408078607830 |
| 10 | 42210662630400 |
| 11 | 124a44946970a0 |
| 12 | 4898861614000 |
| 13 | 1a725aa1c2354 |
| 14 | a5d0151ba86c |
| 15 | 4d2ee22bb900 |
| hex | 2663ef8d4400 |
42210662630400 has 3168 divisors, whose sum is σ = 179662098211200. Its totient is φ = 9626812416000.
The previous prime is 42210662630371. The next prime is 42210662630401. The reversal of 42210662630400 is 403626601224.
42210662630400 is a `hidden beast` number, since 4 + 2 + 2 + 10 + 6 + 6 + 2 + 630 + 4 + 0 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (3168).
It is a super-3 number, since 3×422106626304003 (a number of 42 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (42210662630401) by changing a digit.
It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 387253785546 + ... + 387253785654.
It is an arithmetic number, because the mean of its divisors is an integer number (56711520900).
Almost surely, 242210662630400 is an apocalyptic number.
42210662630400 is a gapful number since it is divisible by the number (40) 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 42210662630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89831049105600).
42210662630400 is an abundant number, since it is smaller than the sum of its proper divisors (137451435580800).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42210662630400 is a wasteful number, since it uses less digits than its factorization.
42210662630400 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 274 (or 214 counting only the distinct ones).
The product of its (nonzero) digits is 82944, while the sum is 36.
The spelling of 42210662630400 in words is "forty-two trillion, two hundred ten billion, six hundred sixty-two million, six hundred thirty thousand, four hundred".
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