Search a number
-
+
114301320102540 = 22335533993756817
BaseRepresentation
bin11001111111010011011001…
…100101010000001010001100
3112222201002200112011200001000
4121333103121211100022030
5104440203100421240130
61043033145045220300
733034666160242644
oct3177233145201214
9488632615150030
10114301320102540
1133468a1040669a
12109a0440a01690
134ba175055174c
1420322db857524
15d3338dbdd260
hex67f4d995028c

114301320102540 has 96 divisors (see below), whose sum is σ = 362313618528960. Its totient is φ = 29905251038208.

The previous prime is 114301320102527. The next prime is 114301320102547. The reversal of 114301320102540 is 45201023103411.

114301320102540 is a `hidden beast` number, since 1 + 1 + 4 + 3 + 0 + 13 + 2 + 0 + 102 + 540 = 666.

It is a super-2 number, since 2×1143013201025402 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (114301320102547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1996849789 + ... + 1996907028.

It is an arithmetic number, because the mean of its divisors is an integer number (3774100193010).

Almost surely, 2114301320102540 is an apocalyptic number.

114301320102540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114301320102540 is an abundant number, since it is smaller than the sum of its proper divisors (248012298426420).

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

114301320102540 is a wasteful number, since it uses less digits than its factorization.

114301320102540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3993756888 (or 3993756880 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 114301320102540 its reverse (45201023103411), we get a palindrome (159502343205951).

The spelling of 114301320102540 in words is "one hundred fourteen trillion, three hundred one billion, three hundred twenty million, one hundred two thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 53 54 60 90 106 108 135 159 180 212 265 270 318 477 530 540 636 795 954 1060 1431 1590 1908 2385 2862 3180 4770 5724 7155 9540 14310 28620 3993756817 7987513634 11981270451 15975027268 19968784085 23962540902 35943811353 39937568170 47925081804 59906352255 71887622706 79875136340 107831434059 119812704510 143775245412 179719056765 211669111301 215662868118 239625409020 359438113530 423338222602 431325736236 539157170295 635007333903 718876227060 846676445204 1058345556505 1078314340590 1270014667806 1905022001709 2116691113010 2156628681180 2540029335612 3175036669515 3810044003418 4233382226020 5715066005127 6350073339030 7620088006836 9525110008545 11430132010254 12700146678060 19050220017090 22860264020508 28575330025635 38100440034180 57150660051270 114301320102540