Base | Representation |
---|---|
bin | 100100011111110101000110… |
… | …1100101110111110100100000 |
3 | 1120002200112212111202102001220 |
4 | 1020333222031211313310200 |
5 | 314034310113230202430 |
6 | 3054440552320455040 |
7 | 124422640551261522 |
oct | 11077521545676440 |
9 | 1502615774672056 |
10 | 321034001022240 |
11 | 93322834268730 |
12 | 3000a65947a480 |
13 | 10a194b7c3824c |
14 | 593c1b2a83a12 |
15 | 271ac6ee5d110 |
hex | 123fa8d977d20 |
321034001022240 has 96 divisors (see below), whose sum is σ = 1103189567167296. Its totient is φ = 77826424488960.
The previous prime is 321034001022179. The next prime is 321034001022247. The reversal of 321034001022240 is 42220100430123.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (96).
It is a super-3 number, since 3×3210340010222403 (a number of 44 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a self number, because there is not a number n which added to its sum of digits gives 321034001022240.
It is not an unprimeable number, because it can be changed into a prime (321034001022247) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30400941787 + ... + 30400952346.
It is an arithmetic number, because the mean of its divisors is an integer number (11491557991326).
Almost surely, 2321034001022240 is an apocalyptic number.
321034001022240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.
It is an amenable number.
321034001022240 is an abundant number, since it is smaller than the sum of its proper divisors (782155566145056).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
321034001022240 is a wasteful number, since it uses less digits than its factorization.
321034001022240 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 60801894162 (or 60801894154 counting only the distinct ones).
The product of its (nonzero) digits is 2304, while the sum is 24.
Adding to 321034001022240 its reverse (42220100430123), we get a palindrome (363254101452363).
The spelling of 321034001022240 in words is "three hundred twenty-one trillion, thirty-four billion, one million, twenty-two thousand, two hundred forty".
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