Search a number
-
+
3148388896900 = 2252132136492
BaseRepresentation
bin101101110100001010100…
…110100001000010000100
3102010222112122011021100111
4231310022212201002010
5403040400024200100
610410203324322404
7443315004032542
oct55641246410204
912128478137314
103148388896900
1110042514aa265
1242a2190a3404
1319ab79389900
14ac550702d92
1556d6bb7e6ba
hex2dd0a9a1084

3148388896900 has 81 divisors (see below), whose sum is σ = 7398510782061. Its totient is φ = 1162396884480.

The previous prime is 3148388896897. The next prime is 3148388896901. The reversal of 3148388896900 is 96988838413.

The square root of 3148388896900 is 1774370.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 3018927100036 + 129461796864 = 1737506^2 + 359808^2 .

It is a super-2 number, since 2×31483888969002 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3148388896901) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 230661276 + ... + 230674924.

Almost surely, 23148388896900 is an apocalyptic number.

3148388896900 is the 1774370-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3148388896900

3148388896900 is an abundant number, since it is smaller than the sum of its proper divisors (4250121885161).

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

3148388896900 is an equidigital number, since it uses as much as digits as its factorization.

3148388896900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27338 (or 13669 counting only the distinct ones).

The product of its (nonzero) digits is 71663616, while the sum is 67.

The spelling of 3148388896900 in words is "three trillion, one hundred forty-eight billion, three hundred eighty-eight million, eight hundred ninety-six thousand, nine hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 169 260 325 338 650 676 845 1300 1690 3380 4225 8450 13649 16900 27298 54596 68245 136490 177437 272980 341225 354874 682450 709748 887185 1364900 1774370 2306681 3548740 4435925 4613362 8871850 9226724 11533405 17743700 23066810 46133620 57667025 115334050 186295201 230668100 372590402 745180804 931476005 1862952010 2421837613 3725904020 4657380025 4843675226 9314760050 9687350452 12109188065 18629520100 24218376130 31483888969 48436752260 60545940325 62967777938 121091880650 125935555876 157419444845 242183761300 314838889690 629677779380 787097224225 1574194448450 3148388896900