Search a number
-
+
3144143424 = 263231375197
BaseRepresentation
bin1011101101100111…
…1101001001000000
322010010021000221110
42323121331021000
522414400042144
61235553523320
7140625530622
oct27331751100
98103230843
103144143424
111373872544
12738b73540
133b15127c6
1421b808c12
151360680b9
hexbb67d240

3144143424 has 112 divisors (see below), whose sum is σ = 8745614208. Its totient is φ = 994971648.

The previous prime is 3144143423. The next prime is 3144143437. The reversal of 3144143424 is 4243414413.

3144143424 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-4 number, since 4×31441434244 (a number of 39 digits) contains 4444 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 3144143391 and 3144143400.

It is not an unprimeable number, because it can be changed into a prime (3144143423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 602394 + ... + 607590.

Almost surely, 23144143424 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 3144143424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4372807104).

3144143424 is an abundant number, since it is smaller than the sum of its proper divisors (5601470784).

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

3144143424 is a wasteful number, since it uses less digits than its factorization.

3144143424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5372 (or 5362 counting only the distinct ones).

The product of its digits is 18432, while the sum is 30.

The square root of 3144143424 is about 56072.6620020844. The cubic root of 3144143424 is about 1464.9881650160.

Adding to 3144143424 its reverse (4243414413), we get a palindrome (7387557837).

The spelling of 3144143424 in words is "three billion, one hundred forty-four million, one hundred forty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 137 138 184 192 274 276 368 411 548 552 736 822 1096 1104 1472 1644 2192 2208 3151 3288 4384 4416 5197 6302 6576 8768 9453 10394 12604 13152 15591 18906 20788 25208 26304 31182 37812 41576 50416 62364 75624 83152 100832 119531 124728 151248 166304 201664 239062 249456 302496 332608 358593 478124 498912 604992 711989 717186 956248 997824 1423978 1434372 1912496 2135967 2847956 2868744 3824992 4271934 5695912 5737488 7649984 8543868 11391824 11474976 16375747 17087736 22783648 22949952 32751494 34175472 45567296 49127241 65502988 68350944 98254482 131005976 136701888 196508964 262011952 393017928 524023904 786035856 1048047808 1572071712 3144143424