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114144113340 = 223255779911109
BaseRepresentation
bin110101001001110000…
…1001111001010111100
3101220121220021202011100
41222103201033022330
53332231343111330
6124234224253100
711150411645355
oct1522341171274
9356556252140
10114144113340
1144454415874
121a156771190
13a9c0c38c8a
14574b72cd2c
152e80d38060
hex1a9384f2bc

114144113340 has 144 divisors (see below), whose sum is σ = 347500258560. Its totient is φ = 30327644160.

The previous prime is 114144113339. The next prime is 114144113341. The reversal of 114144113340 is 43311441411.

114144113340 is a `hidden beast` number, since 11 + 41 + 441 + 133 + 40 = 666.

114144113340 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (114144113339) and next prime (114144113341).

It is a super-2 number, since 2×1141441133402 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114144113341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102924706 + ... + 102925814.

It is an arithmetic number, because the mean of its divisors is an integer number (2413196240).

Almost surely, 2114144113340 is an apocalyptic number.

114144113340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114144113340 is an abundant number, since it is smaller than the sum of its proper divisors (233356145220).

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

114144113340 is a wasteful number, since it uses less digits than its factorization.

114144113340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2692 (or 2687 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 114144113340 its reverse (43311441411), we get a palindrome (157455554751).

The spelling of 114144113340 in words is "one hundred fourteen billion, one hundred forty-four million, one hundred thirteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 577 991 1109 1154 1731 1982 2218 2308 2885 2973 3327 3462 3964 4436 4955 5193 5545 5770 5946 6654 6924 8655 8919 9910 9981 10386 11090 11540 11892 13308 14865 16635 17310 17838 19820 19962 20772 22180 25965 29730 33270 34620 35676 39924 44595 49905 51930 59460 66540 89190 99810 103860 178380 199620 571807 639893 1099019 1143614 1279786 1715421 1919679 2198038 2287228 2559572 2859035 3199465 3297057 3430842 3839358 4396076 5146263 5495095 5718070 5759037 6398930 6594114 6861684 7678716 8577105 9598395 9891171 10292526 10990190 11436140 11518074 12797860 13188228 16485285 17154210 19196790 19782342 20585052 21980380 23036148 25731315 28795185 32970570 34308420 38393580 39564684 49455855 51462630 57590370 65941140 98911710 102925260 115180740 197823420 634133963 1268267926 1902401889 2536535852 3170669815 3804803778 5707205667 6341339630 7609607556 9512009445 11414411334 12682679260 19024018890 22828822668 28536028335 38048037780 57072056670 114144113340