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114300021240141 = 31141337479577907
BaseRepresentation
bin11001111111010010001100…
…001010011111000101001101
3112222200222100000010121210020
4121333102030022133011031
5104440142420414141031
61043032412130132353
733034622036141052
oct3177221412370515
9488628300117706
10114300021240141
11334684042160a0
12109a0139a210b9
134ba15a4424509
142032217151029
15d33314b75096
hex67f48c29f14d

114300021240141 has 128 divisors (see below), whose sum is σ = 171657250652160. Its totient is φ = 67051398758400.

The previous prime is 114300021240133. The next prime is 114300021240143. The reversal of 114300021240141 is 141042120003411.

It is a happy number.

It is not a de Polignac number, because 114300021240141 - 23 = 114300021240133 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114300021240143) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 126019868610 + ... + 126019869516.

It is an arithmetic number, because the mean of its divisors is an integer number (1341072270720).

Almost surely, 2114300021240141 is an apocalyptic number.

114300021240141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

114300021240141 is a deficient number, since it is larger than the sum of its proper divisors (57357229412019).

114300021240141 is a wasteful number, since it uses less digits than its factorization.

114300021240141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2355.

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

Adding to 114300021240141 its reverse (141042120003411), we get a palindrome (255342141243552).

The spelling of 114300021240141 in words is "one hundred fourteen trillion, three hundred billion, twenty-one million, two hundred forty thousand, one hundred forty-one".

Divisors: 1 3 11 33 41 123 337 451 479 577 907 1011 1353 1437 1731 2721 3707 5269 6347 9977 11121 13817 15807 19041 19639 23657 29931 37187 41451 58917 70971 111561 151987 161423 194449 216029 260227 276383 305659 409057 434453 455961 484269 523339 583347 648087 780681 829149 916977 1227171 1303359 1570017 1775653 2138939 3040213 3362249 4778983 5326959 5756729 6416817 6618343 7972409 9120639 10086747 11331703 12532019 14336949 17270187 17812573 19855029 21456899 23917227 33995109 37596057 53437719 64370697 72801773 87696499 93141071 124648733 137852209 146410661 176365243 195938303 218405319 236025889 250679381 263089497 279423213 373946199 413556627 439231983 529095729 587814909 708077667 752038143 1024551781 1610517271 1940017673 2757473191 3073655343 3818783911 4831551813 5820053019 6002837101 7230974963 8272419573 10277854621 11456351733 18008511303 21692924889 30833563863 42006623021 66031208111 79540724593 84478951397 113056400831 126019869063 198093624333 238622173779 253436854191 339169202493 929268465367 2787805396101 3463637007277 10390911021831 38100007080047 114300021240141