Base | Representation |
---|---|
bin | 111000110011000000… |
… | …1101010001000100000 |
3 | 102122211100120101001100 |
4 | 1301212001222020200 |
5 | 3444244010420130 |
6 | 132011013234400 |
7 | 11545356436353 |
oct | 1614601521040 |
9 | 378740511040 |
10 | 121970795040 |
11 | 47800374656 |
12 | 1b77b932a00 |
13 | b66a5a7593 |
14 | 5c90d9c29a |
15 | 328cee9c60 |
hex | 1c6606a220 |
121970795040 has 288 divisors, whose sum is σ = 428441674752. Its totient is φ = 31578624000.
The previous prime is 121970795027. The next prime is 121970795041. The reversal of 121970795040 is 40597079121.
121970795040 is a `hidden beast` number, since 1 + 2 + 1 + 9 + 70 + 79 + 504 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (288).
It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is not an unprimeable number, because it can be changed into a prime (121970795041) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12452545 + ... + 12462335.
It is an arithmetic number, because the mean of its divisors is an integer number (1487644704).
Almost surely, 2121970795040 is an apocalyptic number.
121970795040 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 121970795040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214220837376).
121970795040 is an abundant number, since it is smaller than the sum of its proper divisors (306470879712).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
121970795040 is a wasteful number, since it uses less digits than its factorization.
121970795040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 10064 (or 10053 counting only the distinct ones).
The product of its (nonzero) digits is 158760, while the sum is 45.
The spelling of 121970795040 in words is "one hundred twenty-one billion, nine hundred seventy million, seven hundred ninety-five thousand, forty".
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