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114044420240505 = 335171923113712947
BaseRepresentation
bin11001111011100100001001…
…001010000011010001111001
3112221210112120201202111121000
4121323210021022003101321
5104422000433040144010
61042315141113435213
733010303022402226
oct3173441112032171
9487715521674530
10114044420240505
1133379a70103a27
121095a6a570bb09
134b8345bb4b171
142023aca91494d
15d2b85528a7c0
hex67b909283479

114044420240505 has 128 divisors (see below), whose sum is σ = 235795168972800. Its totient is φ = 51874936261632.

The previous prime is 114044420240483. The next prime is 114044420240519. The reversal of 114044420240505 is 505042024440411.

114044420240505 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 4 + 44 + 202 + 405 + 0 + 5 = 666.

It is not a de Polignac number, because 114044420240505 - 26 = 114044420240441 is a prime.

It is a super-2 number, since 2×1140444202405052 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 114044420240505.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 55853559 + ... + 57859388.

It is an arithmetic number, because the mean of its divisors is an integer number (1842149757600).

Almost surely, 2114044420240505 is an apocalyptic number.

114044420240505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114044420240505 is an abundant number, since it is smaller than the sum of its proper divisors (121750748732295).

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

114044420240505 is a wasteful number, since it uses less digits than its factorization.

114044420240505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113713020 (or 113713014 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 36.

Adding to 114044420240505 its reverse (505042024440411), we get a palindrome (619086444680916).

The spelling of 114044420240505 in words is "one hundred fourteen trillion, forty-four billion, four hundred twenty million, two hundred forty thousand, five hundred five".

Divisors: 1 3 5 9 15 17 19 23 27 45 51 57 69 85 95 115 135 153 171 207 255 285 323 345 391 437 459 513 621 765 855 969 1035 1173 1311 1615 1955 2185 2295 2565 2907 3105 3519 3933 4845 5865 6555 7429 8721 10557 11799 14535 17595 19665 22287 37145 43605 52785 58995 66861 111435 200583 334305 1002915 113712947 341138841 568564735 1023416523 1705694205 1933120099 2160545993 2615397781 3070249569 5117082615 5799360297 6481637979 7846193343 9665600495 10802729965 13076988905 15351247845 17398080891 19444913937 23538580029 28996801485 32408189895 36729281881 39230966715 44461762277 49692557839 52194242673 58334741811 70615740087 86990404455 97224569685 110187845643 117692900145 133385286831 149077673517 183646409405 222308811385 248462789195 260971213365 291673709055 330563536929 353078700435 400155860493 447233020551 550939228215 666926434155 745388367585 844773483263 991690610787 1200467581479 1341699061653 1652817684645 2000779302465 2236165102755 2534320449789 4223867416315 4958453053935 6002337907395 6708495308265 7602961349367 12671602248945 22808884048101 38014806746835 114044420240505