Search a number
-
+
1416141820 = 2251719219217
BaseRepresentation
bin101010001101000…
…1001101111111100
310122200201110101001
41110122021233330
510400013014240
6352304500044
750044002232
oct12432115774
93580643331
101416141820
11667414345
1233631a624
13197510a52
14d6114952
15844d289a
hex54689bfc

1416141820 has 48 divisors (see below), whose sum is σ = 3314576160. Its totient is φ = 505073664.

The previous prime is 1416141781. The next prime is 1416141827. The reversal of 1416141820 is 281416141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1416141827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103149 + ... + 116068.

It is an arithmetic number, because the mean of its divisors is an integer number (69053670).

Almost surely, 21416141820 is an apocalyptic number.

1416141820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1416141820 is an abundant number, since it is smaller than the sum of its proper divisors (1898434340).

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

1416141820 is a wasteful number, since it uses less digits than its factorization.

1416141820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219262 (or 219260 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 28.

The square root of 1416141820 is about 37631.6598092617. The cubic root of 1416141820 is about 1122.9719696539.

Adding to 1416141820 its reverse (281416141), we get a palindrome (1697557961).

The spelling of 1416141820 in words is "one billion, four hundred sixteen million, one hundred forty-one thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 17 19 20 34 38 68 76 85 95 170 190 323 340 380 646 1292 1615 3230 6460 219217 438434 876868 1096085 2192170 3726689 4165123 4384340 7453378 8330246 14906756 16660492 18633445 20825615 37266890 41651230 70807091 74533780 83302460 141614182 283228364 354035455 708070910 1416141820