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3144133400 = 235276920443
BaseRepresentation
bin1011101101100111…
…1010101100011000
322010010020112012012
42323121322230120
522414344232100
61235553405052
7140625456452
oct27331725430
98103215165
103144133400
111373865a61
12738b69788
133b150b085
1421b8052d2
15136065135
hexbb67ab18

3144133400 has 48 divisors (see below), whose sum is σ = 7319974200. Its totient is φ = 1255956480.

The previous prime is 3144133361. The next prime is 3144133409. The reversal of 3144133400 is 43314413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3144133409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 143579 + ... + 164021.

Almost surely, 23144133400 is an apocalyptic number.

It is an amenable number.

3144133400 is an abundant number, since it is smaller than the sum of its proper divisors (4175840800).

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

3144133400 is a wasteful number, since it uses less digits than its factorization.

3144133400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21228 (or 21219 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 3144133400 is about 56072.5726179921. The cubic root of 3144133400 is about 1464.9866081471.

Adding to 3144133400 its reverse (43314413), we get a palindrome (3187447813).

The spelling of 3144133400 in words is "three billion, one hundred forty-four million, one hundred thirty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 769 1538 3076 3845 6152 7690 15380 19225 20443 30760 38450 40886 76900 81772 102215 153800 163544 204430 408860 511075 817720 1022150 2044300 4088600 15720667 31441334 62882668 78603335 125765336 157206670 314413340 393016675 628826680 786033350 1572066700 3144133400