Search a number
-
+
114030441410215 = 511192363110876917
BaseRepresentation
bin11001111011010111000111…
…111101000010111010100111
3112221202012111112010100101211
4121323113013331002322213
5104421233321000111330
61042304510034532251
733006266432324041
oct3173270775027247
9487665445110354
10114030441410215
1133374047454920
1210957a44137087
134b82041a41c55
14202316218ca91
15d2b2d7e39d2a
hex67b5c7f42ea7

114030441410215 has 128 divisors (see below), whose sum is σ = 164399413985280. Its totient is φ = 74951535859200.

The previous prime is 114030441410129. The next prime is 114030441410243. The reversal of 114030441410215 is 512014144030411.

It is not a de Polignac number, because 114030441410215 - 211 = 114030441408167 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16485530937 + ... + 16485537853.

It is an arithmetic number, because the mean of its divisors is an integer number (1284370421760).

Almost surely, 2114030441410215 is an apocalyptic number.

114030441410215 is a deficient number, since it is larger than the sum of its proper divisors (50368972575065).

114030441410215 is a wasteful number, since it uses less digits than its factorization.

114030441410215 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8693.

The product of its (nonzero) digits is 7680, while the sum is 31.

Adding to 114030441410215 its reverse (512014144030411), we get a palindrome (626044585440626).

The spelling of 114030441410215 in words is "one hundred fourteen trillion, thirty billion, four hundred forty-one million, four hundred ten thousand, two hundred fifteen".

Divisors: 1 5 11 19 23 55 95 115 209 253 437 631 1045 1087 1265 2185 3155 4807 5435 6917 6941 11957 11989 14513 20653 24035 25001 34585 34705 59785 59945 72565 76087 103265 125005 131423 131879 159091 159643 227183 275011 275747 380435 475019 657115 659395 685897 795455 798215 1135915 1375055 1378735 1445653 1750001 2375095 3022729 3033217 3429485 4364627 5225209 7228265 7518779 7544867 8750005 13032043 15113645 15166085 15775631 21823135 26126045 33250019 37593895 37724335 48010897 65160215 78878155 82706569 82927913 100386421 142856801 143352473 166250095 172931917 173531941 240054485 299736989 413532845 414639565 501932105 714284005 716762365 864659585 867659705 912207043 1104250631 1498684945 1571424811 1902251087 1907341999 3285706423 3297106879 4561035215 4744349549 5521253155 7857124055 9511255435 9536709995 16428532115 16485534395 20980761989 23721747745 36142770653 52187845039 90142641431 104903809945 109120039627 180713853265 260939225195 450713207155 545600198135 991569055741 1200320435897 2073280752913 4957845278705 6001602179485 10366403764565 22806088282043 114030441410215