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3144513312 = 2535404387
BaseRepresentation
bin1011101101101101…
…0111011100100000
322010010221211100000
42323123113130200
522414443411222
61240005500000
7140631631203
oct27333273440
98103854300
103144513312
111373aa5436
12739111600
133b1611c85
1421b8a393a
151360dc9ac
hexbb6d7720

3144513312 has 72 divisors (see below), whose sum is σ = 9273425616. Its totient is φ = 1048168512.

The previous prime is 3144513277. The next prime is 3144513313. The reversal of 3144513312 is 2133154413.

It is a happy number.

3144513312 is a `hidden beast` number, since 3 + 144 + 513 + 3 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3144513313) 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, 194418 + ... + 209969.

It is an arithmetic number, because the mean of its divisors is an integer number (128797578).

Almost surely, 23144513312 is an apocalyptic number.

3144513312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3144513312 is an abundant number, since it is smaller than the sum of its proper divisors (6128912304).

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

3144513312 is an equidigital number, since it uses as much as digits as its factorization.

3144513312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404412 (or 404392 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 3144513312 is about 56075.9601968615. The cubic root of 3144513312 is about 1465.0456115360.

Adding to 3144513312 its reverse (2133154413), we get a palindrome (5277667725).

The spelling of 3144513312 in words is "three billion, one hundred forty-four million, five hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 864 972 1296 1944 2592 3888 7776 404387 808774 1213161 1617548 2426322 3235096 3639483 4852644 6470192 7278966 9705288 10918449 12940384 14557932 19410576 21836898 29115864 32755347 38821152 43673796 58231728 65510694 87347592 98266041 116463456 131021388 174695184 196532082 262042776 349390368 393064164 524085552 786128328 1048171104 1572256656 3144513312