| Base | Representation |
|---|---|
| bin | 10111111000111001000… |
| … | …001010000111101100000 |
| 3 | 12210221100022020221010110 |
| 4 | 113320321001100331200 |
| 5 | 203344031314440000 |
| 6 | 3254053432531320 |
| 7 | 226414136645301 |
| oct | 27707101207540 |
| 9 | 5727308227113 |
| 10 | 1641634140000 |
| 11 | 583238747058 |
| 12 | 2261abb50b40 |
| 13 | bba6170583a |
| 14 | 59653d187a8 |
| 15 | 2ca817b0850 |
| hex | 17e39050f60 |
1641634140000 has 240 divisors, whose sum is σ = 5558600678400. Its totient is φ = 423647040000.
The previous prime is 1641634139983. The next prime is 1641634140007. The reversal of 1641634140000 is 414361461.
It is a tau number, because it is divible by the number of its divisors (240).
It is a super-3 number, since 3×16416341400003 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (30).
It is a self number, because there is not a number n which added to its sum of digits gives 1641634140000.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1641634140007) by changing a digit.
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 39 ways as a sum of consecutive naturals, for example, 1418701 + ... + 2301299.
It is an arithmetic number, because the mean of its divisors is an integer number (23160836160).
Almost surely, 21641634140000 is an apocalyptic number.
1641634140000 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 1641634140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2779300339200).
1641634140000 is an abundant number, since it is smaller than the sum of its proper divisors (3916966538400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1641634140000 is an equidigital number, since it uses as much as digits as its factorization.
1641634140000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 882663 (or 882640 counting only the distinct ones).
The product of its (nonzero) digits is 6912, while the sum is 30.
The spelling of 1641634140000 in words is "one trillion, six hundred forty-one billion, six hundred thirty-four million, one hundred forty thousand".
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