Search a number
-
+
3112123040 = 255134136493
BaseRepresentation
bin1011100101111111…
…0011101010100000
322000220000020020022
42321133303222200
522333200414130
61232451333012
7140056416005
oct27137635240
98026006208
103112123040
111357792114
1272a2b1168
133a79b1030
142174718ac
151333407e5
hexb97f3aa0

3112123040 has 96 divisors (see below), whose sum is σ = 8111302416. Its totient is φ = 1121034240.

The previous prime is 3112123039. The next prime is 3112123073. The reversal of 3112123040 is 403212113.

3112123040 is nontrivially palindromic in base 9.

It can be written as a sum of positive squares in 8 ways, for example, as 12306064 + 3099816976 = 3508^2 + 55676^2 .

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, 67034 + ... + 103526.

Almost surely, 23112123040 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 3112123040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4055651208).

3112123040 is an abundant number, since it is smaller than the sum of its proper divisors (4999179376).

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

3112123040 is a wasteful number, since it uses less digits than its factorization.

3112123040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36562 (or 36554 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 3112123040 is about 55786.4055124544. The cubic root of 3112123040 is about 1459.9979733505.

Adding to 3112123040 its reverse (403212113), we get a palindrome (3515335153).

The spelling of 3112123040 in words is "three billion, one hundred twelve million, one hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 41 52 65 80 82 104 130 160 164 205 208 260 328 410 416 520 533 656 820 1040 1066 1312 1640 2080 2132 2665 3280 4264 5330 6560 8528 10660 17056 21320 36493 42640 72986 85280 145972 182465 291944 364930 474409 583888 729860 948818 1167776 1459720 1496213 1897636 2372045 2919440 2992426 3795272 4744090 5838880 5984852 7481065 7590544 9488180 11969704 14962130 15181088 18976360 19450769 23939408 29924260 37952720 38901538 47878816 59848520 75905440 77803076 97253845 119697040 155606152 194507690 239394080 311212304 389015380 622424608 778030760 1556061520 3112123040