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3145013424 = 243278337591
BaseRepresentation
bin1011101101110101…
…0001100010110000
322010011220020100200
42323131101202300
522420110412144
61240024315200
7140636113230
oct27335214260
98104806320
103145013424
111374307153
12739312b00
133b17587b7
1421b993cc0
1513618ac69
hexbb7518b0

3145013424 has 120 divisors (see below), whose sum is σ = 10180515072. Its totient is φ = 887725440.

The previous prime is 3145013411. The next prime is 3145013441. The reversal of 3145013424 is 4243105413.

It is a happy number.

3145013424 is a `hidden beast` number, since 314 + 5 + 0 + 1 + 342 + 4 = 666.

3145013424 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×31450134242 = 19782218874280407552, 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, 64869 + ... + 102459.

Almost surely, 23145013424 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 3145013424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5090257536).

3145013424 is an abundant number, since it is smaller than the sum of its proper divisors (7035501648).

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

3145013424 is a wasteful number, since it uses less digits than its factorization.

3145013424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37695 (or 37686 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 3145013424 is about 56080.4192566354. The cubic root of 3145013424 is about 1465.1232757062.

Adding to 3145013424 its reverse (4243105413), we get a palindrome (7388118837).

The spelling of 3145013424 in words is "three billion, one hundred forty-five million, thirteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 83 84 112 126 144 166 168 249 252 332 336 498 504 581 664 747 996 1008 1162 1328 1494 1743 1992 2324 2988 3486 3984 4648 5229 5976 6972 9296 10458 11952 13944 20916 27888 37591 41832 75182 83664 112773 150364 225546 263137 300728 338319 451092 526274 601456 676638 789411 902184 1052548 1353276 1578822 1804368 2105096 2368233 2706552 3120053 3157644 4210192 4736466 5413104 6240106 6315288 9360159 9472932 12480212 12630576 18720318 18945864 21840371 24960424 28080477 37440636 37891728 43680742 49920848 56160954 65521113 74881272 87361484 112321908 131042226 149762544 174722968 196563339 224643816 262084452 349445936 393126678 449287632 524168904 786253356 1048337808 1572506712 3145013424