Search a number
-
+
3141443310 = 235735692521
BaseRepresentation
bin1011101100111110…
…1001111011101110
322002221011212002020
42323033221323232
522413202141220
61235420011010
7140563553565
oct27317517356
98087155066
103141443310
111372298945
12738090a66
133b0aa87c5
1421b304bdc
15135bd3040
hexbb3e9eee

3141443310 has 64 divisors (see below), whose sum is σ = 7659213120. Its totient is φ = 824463360.

The previous prime is 3141443309. The next prime is 3141443323. The reversal of 3141443310 is 133441413.

It is a super-2 number, since 2×31414433102 = 19737332139887512200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1244850 + ... + 1247370.

It is an arithmetic number, because the mean of its divisors is an integer number (119675205).

Almost surely, 23141443310 is an apocalyptic number.

3141443310 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3141443310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3829606560).

3141443310 is an abundant number, since it is smaller than the sum of its proper divisors (4517769810).

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

3141443310 is a wasteful number, since it uses less digits than its factorization.

3141443310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3173.

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 3141443310 is about 56048.5799106454. The cubic root of 3141443310 is about 1464.5686794948.

Adding to 3141443310 its reverse (133441413), we get a palindrome (3274884723).

The spelling of 3141443310 in words is "three billion, one hundred forty-one million, four hundred forty-three thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 73 146 219 365 438 569 730 1095 1138 1707 2190 2521 2845 3414 5042 5690 7563 8535 12605 15126 17070 25210 37815 41537 75630 83074 124611 184033 207685 249222 368066 415370 552099 623055 920165 1104198 1246110 1434449 1840330 2760495 2868898 4303347 5520990 7172245 8606694 14344490 21516735 43033470 104714777 209429554 314144331 523573885 628288662 1047147770 1570721655 3141443310