Search a number
-
+
3145014420 = 223583631529
BaseRepresentation
bin1011101101110101…
…0001110010010100
322010011220021201120
42323131101302110
522420110430140
61240024323540
7140636116152
oct27335216224
98104807646
103145014420
111374307979
127393135b0
133b17590a2
1421b9943d2
1513618b1d0
hexbb751c94

3145014420 has 48 divisors (see below), whose sum is σ = 8912151360. Its totient is φ = 828564736.

The previous prime is 3145014407. The next prime is 3145014469. The reversal of 3145014420 is 244105413.

It is a super-2 number, since 2×31450144202 = 19782231404015872800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 310785 + ... + 320744.

It is an arithmetic number, because the mean of its divisors is an integer number (185669820).

Almost surely, 23145014420 is an apocalyptic number.

3145014420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3145014420 is an abundant number, since it is smaller than the sum of its proper divisors (5767136940).

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

3145014420 is a wasteful number, since it uses less digits than its factorization.

3145014420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631624 (or 631622 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 3145014420 is about 56080.4281367395. The cubic root of 3145014420 is about 1465.1234303704.

Adding to 3145014420 its reverse (244105413), we get a palindrome (3389119833).

The spelling of 3145014420 in words is "three billion, one hundred forty-five million, fourteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 83 166 249 332 415 498 830 996 1245 1660 2490 4980 631529 1263058 1894587 2526116 3157645 3789174 6315290 7578348 9472935 12630580 18945870 37891740 52416907 104833814 157250721 209667628 262084535 314501442 524169070 629002884 786253605 1048338140 1572507210 3145014420