Search a number
-
+
1141411230 = 233512733287
BaseRepresentation
bin100010000001000…
…1000110110011110
32221112202200212000
41010002020312132
54314200124410
6305132223130
740166556351
oct10402106636
92845680760
101141411230
1153632a173
1227a30aaa6
1315261c97b
14ab83c298
156a315dc0
hex44088d9e

1141411230 has 64 divisors (see below), whose sum is σ = 3067822080. Its totient is φ = 301970592.

The previous prime is 1141411223. The next prime is 1141411237. The reversal of 1141411230 is 321141411.

1141411230 is a `hidden beast` number, since 11 + 414 + 11 + 230 = 666.

It is an interprime number because it is at equal distance from previous prime (1141411223) and next prime (1141411237).

It is a super-2 number, since 2×11414112302 = 2605639191940225800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1141411237) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17647 + ... + 50933.

It is an arithmetic number, because the mean of its divisors is an integer number (47934720).

Almost surely, 21141411230 is an apocalyptic number.

1141411230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1141411230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1533911040).

1141411230 is an abundant number, since it is smaller than the sum of its proper divisors (1926410850).

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

1141411230 is a wasteful number, since it uses less digits than its factorization.

1141411230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33430 (or 33424 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1141411230 is about 33784.7780812602. The cubic root of 1141411230 is about 1045.0748113074.

Adding to 1141411230 its reverse (321141411), we get a palindrome (1462552641).

It can be divided in two parts, 114 and 1411230, that added together give a square (1411344 = 11882).

The spelling of 1141411230 in words is "one billion, one hundred forty-one million, four hundred eleven thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 127 135 254 270 381 635 762 1143 1270 1905 2286 3429 3810 5715 6858 11430 17145 33287 34290 66574 99861 166435 199722 299583 332870 499305 599166 898749 998610 1497915 1797498 2995830 4227449 4493745 8454898 8987490 12682347 21137245 25364694 38047041 42274490 63411735 76094082 114141123 126823470 190235205 228282246 380470410 570705615 1141411230