Search a number
-
+
1414444032 = 2103417053
BaseRepresentation
bin101010001001110…
…1011010000000000
310122120112012110000
41110103223100000
510344044202112
6352204240000
750023401351
oct12423532000
93576465400
101414444032
11666464811
12335840000
13197068041
14d5bd1d28
15842997dc
hex544eb400

1414444032 has 110 divisors (see below), whose sum is σ = 4224054098. Its totient is φ = 471453696.

The previous prime is 1414444007. The next prime is 1414444039. The reversal of 1414444032 is 2304444141.

It can be written as a sum of positive squares in only one way, i.e., 1135420416 + 279023616 = 33696^2 + 16704^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 1414443987 and 1414444005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1414444039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 74418 + ... + 91470.

Almost surely, 21414444032 is an apocalyptic number.

1414444032 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 1414444032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2112027049).

1414444032 is an abundant number, since it is smaller than the sum of its proper divisors (2809610066).

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

1414444032 is an equidigital number, since it uses as much as digits as its factorization.

1414444032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17085 (or 17058 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 1414444032 is about 37609.0950702087. The cubic root of 1414444032 is about 1122.5230196188.

Adding to 1414444032 its reverse (2304444141), we get a palindrome (3718888173).

The spelling of 1414444032 in words is "one billion, four hundred fourteen million, four hundred forty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1024 1152 1296 1536 1728 2304 2592 3072 3456 4608 5184 6912 9216 10368 13824 17053 20736 27648 34106 41472 51159 68212 82944 102318 136424 153477 204636 272848 306954 409272 460431 545696 613908 818544 920862 1091392 1227816 1381293 1637088 1841724 2182784 2455632 2762586 3274176 3683448 4365568 4911264 5525172 6548352 7366896 8731136 9822528 11050344 13096704 14733792 17462272 19645056 22100688 26193408 29467584 39290112 44201376 52386816 58935168 78580224 88402752 117870336 157160448 176805504 235740672 353611008 471481344 707222016 1414444032