Search a number
-
+
2141461140 = 2235713392209
BaseRepresentation
bin111111110100100…
…0001101010010100
312112020112111102120
41333221001222110
513341203224030
6552254535540
7104032055640
oct17751015224
95466474376
102141461140
119a98874a5
124b92075b0
13281876790
1416459dc20
15c8007010
hex7fa41a94

2141461140 has 96 divisors (see below), whose sum is σ = 7379823360. Its totient is φ = 451823616.

The previous prime is 2141461093. The next prime is 2141461159. The reversal of 2141461140 is 411641412.

It is a self number, because there is not a number n which added to its sum of digits gives 2141461140.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 190645 + ... + 201564.

It is an arithmetic number, because the mean of its divisors is an integer number (76873160).

Almost surely, 22141461140 is an apocalyptic number.

2141461140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2141461140 is an abundant number, since it is smaller than the sum of its proper divisors (5238362220).

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

2141461140 is a wasteful number, since it uses less digits than its factorization.

2141461140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392241 (or 392239 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 2141461140 is about 46275.9239778095. The cubic root of 2141461140 is about 1288.9519641094.

The spelling of 2141461140 in words is "two billion, one hundred forty-one million, four hundred sixty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 26 28 30 35 39 42 52 60 65 70 78 84 91 105 130 140 156 182 195 210 260 273 364 390 420 455 546 780 910 1092 1365 1820 2730 5460 392209 784418 1176627 1568836 1961045 2353254 2745463 3922090 4706508 5098717 5490926 5883135 7844180 8236389 10197434 10981852 11766270 13727315 15296151 16472778 20394868 23532540 25493585 27454630 30592302 32945556 35691019 41181945 50987170 54909260 61184604 71382038 76480755 82363890 101974340 107073057 142764076 152961510 164727780 178455095 214146114 305923020 356910190 428292228 535365285 713820380 1070730570 2141461140