Base | Representation |
---|---|
bin | 1011000000001110000… |
… | …00101011010100100000 |
3 | 1100010212200022202112011 |
4 | 11200013000223110200 |
5 | 22143244113140000 |
6 | 445403553442304 |
7 | 36213021160126 |
oct | 5400700532440 |
9 | 1303780282464 |
10 | 378074740000 |
11 | 136382375011 |
12 | 61334570394 |
13 | 29863127509 |
14 | 14428319916 |
15 | 9c7bb302ba |
hex | 580702b520 |
378074740000 has 120 divisors (see below), whose sum is σ = 962195170860. Its totient is φ = 146014848000.
The previous prime is 378074739997. The next prime is 378074740007. The reversal of 378074740000 is 47470873.
It can be written as a sum of positive squares in 10 ways, for example, as 12082576 + 378062657424 = 3476^2 + 614868^2 .
It is a Harshad number since it is a multiple of its sum of digits (40).
It is not an unprimeable number, because it can be changed into a prime (378074740007) 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 19 ways as a sum of consecutive naturals, for example, 254074 + ... + 905926.
Almost surely, 2378074740000 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 378074740000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481097585430).
378074740000 is an abundant number, since it is smaller than the sum of its proper divisors (584120430860).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
378074740000 is an equidigital number, since it uses as much as digits as its factorization.
378074740000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 651912 (or 651889 counting only the distinct ones).
The product of its (nonzero) digits is 131712, while the sum is 40.
The spelling of 378074740000 in words is "three hundred seventy-eight billion, seventy-four million, seven hundred forty thousand".
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