Search a number
-
+
1414018608 = 2431910315053
BaseRepresentation
bin101010001001000…
…0011011000110000
310122112201120212120
41110102003120300
510343442043413
6352151154240
750016650142
oct12422033060
93575646776
101414018608
116661a4122
12335675980
13196c49502
14d5b20c92
1584213723
hex54483630

1414018608 has 80 divisors (see below), whose sum is σ = 3882727680. Its totient is φ = 442167552.

The previous prime is 1414018583. The next prime is 1414018609. The reversal of 1414018608 is 8068104141.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1414018609) 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 15 ways as a sum of consecutive naturals, for example, 86410 + ... + 101462.

It is an arithmetic number, because the mean of its divisors is an integer number (48534096).

Almost surely, 21414018608 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 1414018608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1941363840).

1414018608 is an abundant number, since it is smaller than the sum of its proper divisors (2468709072).

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

1414018608 is a wasteful number, since it uses less digits than its factorization.

1414018608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15186 (or 15180 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The square root of 1414018608 is about 37603.4387789202. The cubic root of 1414018608 is about 1122.4104674763.

The spelling of 1414018608 in words is "one billion, four hundred fourteen million, eighteen thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 103 114 152 206 228 304 309 412 456 618 824 912 1236 1648 1957 2472 3914 4944 5871 7828 11742 15053 15656 23484 30106 31312 45159 46968 60212 90318 93936 120424 180636 240848 286007 361272 572014 722544 858021 1144028 1550459 1716042 2288056 3100918 3432084 4576112 4651377 6201836 6864168 9302754 12403672 13728336 18605508 24807344 29458721 37211016 58917442 74422032 88376163 117834884 176752326 235669768 353504652 471339536 707009304 1414018608