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3146670144 = 26325699601
BaseRepresentation
bin1011101110001110…
…0110000001000000
322010022000101221200
42323203212001000
522421021421034
61240124021200
7140656153302
oct27343460100
98108011850
103146670144
111375238942
12739991800
133b1bb88c7
1421bca5972
151363b6a99
hexbb8e6040

3146670144 has 84 divisors (see below), whose sum is σ = 9036154140. Its totient is φ = 1046937600.

The previous prime is 3146670133. The next prime is 3146670157. The reversal of 3146670144 is 4410766413.

It can be written as a sum of positive squares in 2 ways, for example, as 1452524544 + 1694145600 = 38112^2 + 41160^2 .

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 = 3146670099 and 3146670108.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 322944 + ... + 332544.

Almost surely, 23146670144 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 3146670144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4518077070).

3146670144 is an abundant number, since it is smaller than the sum of its proper divisors (5889483996).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3146670144 is a wasteful number, since it uses less digits than its factorization.

3146670144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10188 (or 10175 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 3146670144 is about 56095.1882428431. The cubic root of 3146670144 is about 1465.3804948461.

The spelling of 3146670144 in words is "three billion, one hundred forty-six million, six hundred seventy thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 569 576 1138 1707 2276 3414 4552 5121 6828 9104 9601 10242 13656 18208 19202 20484 27312 28803 36416 38404 40968 54624 57606 76808 81936 86409 109248 115212 153616 163872 172818 230424 307232 327744 345636 460848 614464 691272 921696 1382544 1843392 2765088 5462969 5530176 10925938 16388907 21851876 32777814 43703752 49166721 65555628 87407504 98333442 131111256 174815008 196666884 262222512 349630016 393333768 524445024 786667536 1048890048 1573335072 3146670144