Search a number
-
+
1410421140 = 2233525710163
BaseRepresentation
bin101010000010001…
…0101000110010100
310122021221211002000
41110010111012110
510342031434030
6351542115300
746644244662
oct12404250624
93567854060
101410421140
11664167307
1233441bb30
13196289c2b
14d5465c32
1583c52860
hex54115194

1410421140 has 96 divisors (see below), whose sum is σ = 4405484160. Its totient is φ = 374611968.

The previous prime is 1410421109. The next prime is 1410421141. The reversal of 1410421140 is 411240141.

1410421140 is a `hidden beast` number, since 1 + 410 + 4 + 211 + 40 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1410421141) 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 31 ways as a sum of consecutive naturals, for example, 133699 + ... + 143861.

It is an arithmetic number, because the mean of its divisors is an integer number (45890460).

Almost surely, 21410421140 is an apocalyptic number.

1410421140 is a gapful number since it is divisible by the number (10) 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 1410421140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2202742080).

1410421140 is an abundant number, since it is smaller than the sum of its proper divisors (2995063020).

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

1410421140 is a wasteful number, since it uses less digits than its factorization.

1410421140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10438 (or 10430 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1410421140 is about 37555.5740203768. The cubic root of 1410421140 is about 1121.4578008837.

Adding to 1410421140 its reverse (411240141), we get a palindrome (1821661281).

The spelling of 1410421140 in words is "one billion, four hundred ten million, four hundred twenty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 257 270 514 540 771 1028 1285 1542 2313 2570 3084 3855 4626 5140 6939 7710 9252 10163 11565 13878 15420 20326 23130 27756 30489 34695 40652 46260 50815 60978 69390 91467 101630 121956 138780 152445 182934 203260 274401 304890 365868 457335 548802 609780 914670 1097604 1372005 1829340 2611891 2744010 5223782 5488020 7835673 10447564 13059455 15671346 23507019 26118910 31342692 39178365 47014038 52237820 70521057 78356730 94028076 117535095 141042114 156713460 235070190 282084228 352605285 470140380 705210570 1410421140