Search a number
-
+
6114270240 = 2532513326617
BaseRepresentation
bin1011011000111000…
…00101110000100000
3120210010002002222100
411230130011300200
5100010223121430
62450414010400
7304342303521
oct55434056040
916703062870
106114270240
112658389801
1212277a6a00
137659679b0
14420076848
1525bbaa960
hex16c705c20

6114270240 has 144 divisors (see below), whose sum is σ = 22470011928. Its totient is φ = 1505046528.

The previous prime is 6114270223. The next prime is 6114270257. The reversal of 6114270240 is 420724116.

6114270240 is a `hidden beast` number, since 611 + 4 + 2 + 7 + 0 + 2 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (6114270223) and next prime (6114270257).

It can be written as a sum of positive squares in 4 ways, for example, as 5551442064 + 562828176 = 74508^2 + 23724^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 144589 + ... + 182028.

Almost surely, 26114270240 is an apocalyptic number.

6114270240 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6114270240 is an abundant number, since it is smaller than the sum of its proper divisors (16355741688).

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

6114270240 is a wasteful number, since it uses less digits than its factorization.

6114270240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326651 (or 326640 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 6114270240 is about 78193.7992426509. The cubic root of 6114270240 is about 1828.5838367369.

Adding to 6114270240 its reverse (420724116), we get a palindrome (6534994356).

The spelling of 6114270240 in words is "six billion, one hundred fourteen million, two hundred seventy thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 32 36 39 40 45 48 52 60 65 72 78 80 90 96 104 117 120 130 144 156 160 180 195 208 234 240 260 288 312 360 390 416 468 480 520 585 624 720 780 936 1040 1170 1248 1440 1560 1872 2080 2340 3120 3744 4680 6240 9360 18720 326617 653234 979851 1306468 1633085 1959702 2612936 2939553 3266170 3919404 4246021 4899255 5225872 5879106 6532340 7838808 8492042 9798510 10451744 11758212 12738063 13064680 14697765 15677616 16984084 19597020 21230105 23516424 25476126 26129360 29395530 31355232 33968168 38214189 39194040 42460210 47032848 50952252 52258720 58791060 63690315 67936336 76428378 78388080 84920420 94065696 101904504 117582120 127380630 135872672 152856756 156776160 169840840 191070945 203809008 235164240 254761260 305713512 339681680 382141890 407618016 470328480 509522520 611427024 679363360 764283780 1019045040 1222854048 1528567560 2038090080 3057135120 6114270240