Search a number
-
+
3140101314 = 2327176412287
BaseRepresentation
bin1011101100101010…
…0010010011000010
322002211122200012200
42323022202103002
522412331220224
61235331134030
7140546264220
oct27312422302
98084580180
103140101314
111371561659
12737744316
133b0728a1c
1421b075b10
15135a1a5c9
hexbb2a24c2

3140101314 has 96 divisors (see below), whose sum is σ = 8249319936. Its totient is φ = 842711040.

The previous prime is 3140101267. The next prime is 3140101337. The reversal of 3140101314 is 4131010413.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1371879 + ... + 1374165.

It is an arithmetic number, because the mean of its divisors is an integer number (85930416).

Almost surely, 23140101314 is an apocalyptic number.

3140101314 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3140101314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4124659968).

3140101314 is an abundant number, since it is smaller than the sum of its proper divisors (5109218622).

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

3140101314 is a wasteful number, since it uses less digits than its factorization.

3140101314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2960 (or 2957 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 3140101314 is about 56036.6069101262. The cubic root of 3140101314 is about 1464.3600996526.

Adding to 3140101314 its reverse (4131010413), we get a palindrome (7271111727).

Subtracting 3140101314 from its reverse (4131010413), we obtain a palindrome (990909099).

The spelling of 3140101314 in words is "three billion, one hundred forty million, one hundred one thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 51 63 102 119 126 153 238 306 357 641 714 1071 1282 1923 2142 2287 3846 4487 4574 5769 6861 8974 10897 11538 13461 13722 16009 20583 21794 26922 32018 32691 38879 40383 41166 48027 65382 76279 77758 80766 96054 98073 116637 144081 152558 196146 228837 233274 272153 288162 349911 457674 544306 686511 699822 816459 1373022 1465967 1632918 2449377 2931934 4397901 4898754 8795802 10261769 13193703 20523538 24921439 26387406 30785307 49842878 61570614 74764317 92355921 149528634 174450073 184711842 224292951 348900146 448585902 523350219 1046700438 1570050657 3140101314