Search a number
-
+
3144163008 = 2637347743
BaseRepresentation
bin1011101101101000…
…0001111011000000
322010010022000210210
42323122001323000
522414401204013
61235554154120
7140625642000
oct27332017300
98103260723
103144163008
111373886228
12738b82940
133b151b6ac
1421b812000
1513606dcc3
hexbb681ec0

3144163008 has 112 divisors (see below), whose sum is σ = 9701580800. Its totient is φ = 898313472.

The previous prime is 3144162979. The next prime is 3144163019. The reversal of 3144163008 is 8003614413.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×31441630082 = 19771522041751216128, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41985 + ... + 89727.

Almost surely, 23144163008 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 3144163008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4850790400).

3144163008 is an abundant number, since it is smaller than the sum of its proper divisors (6557417792).

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

3144163008 is an equidigital number, since it uses as much as digits as its factorization.

3144163008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47779 (or 47755 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 3144163008 is about 56072.8366323659. The cubic root of 3144163008 is about 1464.9912066784.

It can be divided in two parts, 31441 and 63008, that added together give a palindrome (94449).

The spelling of 3144163008 in words is "three billion, one hundred forty-four million, one hundred sixty-three thousand, eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 147 168 192 196 224 294 336 343 392 448 588 672 686 784 1029 1176 1344 1372 1568 2058 2352 2744 3136 4116 4704 5488 8232 9408 10976 16464 21952 32928 47743 65856 95486 143229 190972 286458 334201 381944 572916 668402 763888 1002603 1145832 1336804 1527776 2005206 2291664 2339407 2673608 3055552 4010412 4583328 4678814 5347216 7018221 8020824 9166656 9357628 10694432 14036442 16041648 16375849 18715256 21388864 28072884 32083296 32751698 37430512 49127547 56145768 64166592 65503396 74861024 98255094 112291536 131006792 149722048 196510188 224583072 262013584 393020376 449166144 524027168 786040752 1048054336 1572081504 3144163008