Search a number
-
+
1443134112 = 25374215101
BaseRepresentation
bin101011000000100…
…0111101010100000
310201120111210211120
41112001013222200
510423420242422
6355111212240
750522303040
oct12601075240
93646453746
101443134112
11680680022
12343377080
1319cca1a14
14d993d720
1586a6545c
hex56047aa0

1443134112 has 96 divisors (see below), whose sum is σ = 4340536704. Its totient is φ = 411264000.

The previous prime is 1443134111. The next prime is 1443134117. The reversal of 1443134112 is 2114313441.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is not an unprimeable number, because it can be changed into a prime (1443134111) 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, 280362 + ... + 285462.

It is an arithmetic number, because the mean of its divisors is an integer number (45213924).

Almost surely, 21443134112 is an apocalyptic number.

1443134112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1443134112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2170268352).

1443134112 is an abundant number, since it is smaller than the sum of its proper divisors (2897402592).

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

1443134112 is a wasteful number, since it uses less digits than its factorization.

1443134112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5542 (or 5534 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 1443134112 is about 37988.6050283503. The cubic root of 1443134112 is about 1130.0618944352.

Adding to 1443134112 its reverse (2114313441), we get a palindrome (3557447553).

The spelling of 1443134112 in words is "one billion, four hundred forty-three million, one hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 421 672 842 1263 1684 2526 2947 3368 5052 5101 5894 6736 8841 10104 10202 11788 13472 15303 17682 20208 20404 23576 30606 35364 35707 40416 40808 47152 61212 70728 71414 81616 94304 107121 122424 141456 142828 163232 214242 244848 282912 285656 428484 489696 571312 856968 1142624 1713936 2147521 3427872 4295042 6442563 8590084 12885126 15032647 17180168 25770252 30065294 34360336 45097941 51540504 60130588 68720672 90195882 103081008 120261176 180391764 206162016 240522352 360783528 481044704 721567056 1443134112