Search a number
-
+
3145013280 = 2532516313399
BaseRepresentation
bin1011101101110101…
…0001100000100000
322010011220020011100
42323131101200200
522420110411110
61240024314400
7140636112633
oct27335214040
98104806140
103145013280
111374307032
12739312a00
133b1758706
1421b993c1a
1513618abc0
hexbb751820

3145013280 has 144 divisors (see below), whose sum is σ = 10799006400. Its totient is φ = 833462784.

The previous prime is 3145013239. The next prime is 3145013293. The reversal of 3145013280 is 823105413.

It is a happy number.

3145013280 is a `hidden beast` number, since 3 + 1 + 450 + 132 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×31450132802 = 19782217062752716800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 228021 + ... + 241419.

It is an arithmetic number, because the mean of its divisors is an integer number (74993100).

Almost surely, 23145013280 is an apocalyptic number.

3145013280 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3145013280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5399503200).

3145013280 is an abundant number, since it is smaller than the sum of its proper divisors (7653993120).

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

3145013280 is a wasteful number, since it uses less digits than its factorization.

3145013280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13583 (or 13572 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 3145013280 is about 56080.4179727648. The cubic root of 3145013280 is about 1465.1232533451.

Adding to 3145013280 its reverse (823105413), we get a palindrome (3968118693).

The spelling of 3145013280 in words is "three billion, one hundred forty-five million, thirteen thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 163 180 240 288 326 360 480 489 652 720 815 978 1304 1440 1467 1630 1956 2445 2608 2934 3260 3912 4890 5216 5868 6520 7335 7824 9780 11736 13040 13399 14670 15648 19560 23472 26080 26798 29340 39120 40197 46944 53596 58680 66995 78240 80394 107192 117360 120591 133990 160788 200985 214384 234720 241182 267980 321576 401970 428768 482364 535960 602955 643152 803940 964728 1071920 1205910 1286304 1607880 1929456 2143840 2184037 2411820 3215760 3858912 4368074 4823640 6431520 6552111 8736148 9647280 10920185 13104222 17472296 19294560 19656333 21840370 26208444 32760555 34944592 39312666 43680740 52416888 65521110 69889184 78625332 87361480 98281665 104833776 131042220 157250664 174722960 196563330 209667552 262084440 314501328 349445920 393126660 524168880 629002656 786253320 1048337760 1572506640 3145013280