Base | Representation |
---|---|
bin | 11110010100000011000… |
… | …10001010001111100000 |
3 | 10200120102210001110100000 |
4 | 33022001202022033200 |
5 | 114031101124120334 |
6 | 2114252304500000 |
7 | 135151465662045 |
oct | 17120142121740 |
9 | 3616383043300 |
10 | 1041555301344 |
11 | 3717a28a5948 |
12 | 149a3a91a600 |
13 | 772ab63374c |
14 | 385a93d11cc |
15 | 1c15ea6d299 |
hex | f28188a3e0 |
1041555301344 has 144 divisors (see below), whose sum is σ = 3076698014208. Its totient is φ = 346611560832.
The previous prime is 1041555301261. The next prime is 1041555301361. The reversal of 1041555301344 is 4431035551401.
1041555301344 is a `hidden beast` number, since 1 + 0 + 4 + 1 + 5 + 5 + 5 + 301 + 344 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 1041555301299 and 1041555301308.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4609699 + ... + 4830365.
It is an arithmetic number, because the mean of its divisors is an integer number (21365958432).
Almost surely, 21041555301344 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1041555301344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1538349007104).
1041555301344 is an abundant number, since it is smaller than the sum of its proper divisors (2035142712864).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1041555301344 is an equidigital number, since it uses as much as digits as its factorization.
1041555301344 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 221299 (or 221279 counting only the distinct ones).
The product of its (nonzero) digits is 72000, while the sum is 36.
The spelling of 1041555301344 in words is "one trillion, forty-one billion, five hundred fifty-five million, three hundred one thousand, three hundred forty-four".
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