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114262323420 = 22357607448193
BaseRepresentation
bin110101001101010010…
…0001011000011011100
3101220221010201102220110
41222122210023003130
53333002123322140
6124254050050020
711153345503230
oct1523244130334
9356833642813
10114262323420
1144505114853
121a18a279910
13aa0c58727b
14575d3005c0
152e8b3d8380
hex1a9a90b0dc

114262323420 has 96 divisors (see below), whose sum is σ = 366242623488. Its totient is φ = 26074017792.

The previous prime is 114262323403. The next prime is 114262323449. The reversal of 114262323420 is 24323262411.

114262323420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30844 + ... + 479036.

It is an arithmetic number, because the mean of its divisors is an integer number (3815027328).

Almost surely, 2114262323420 is an apocalyptic number.

114262323420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114262323420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183121311744).

114262323420 is an abundant number, since it is smaller than the sum of its proper divisors (251980300068).

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

114262323420 is a wasteful number, since it uses less digits than its factorization.

114262323420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448819 (or 448817 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 114262323420 its reverse (24323262411), we get a palindrome (138585585831).

The spelling of 114262323420 in words is "one hundred fourteen billion, two hundred sixty-two million, three hundred twenty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 607 1214 1821 2428 3035 3642 4249 6070 7284 8498 9105 12140 12747 16996 18210 21245 25494 36420 42490 50988 63735 84980 127470 254940 448193 896386 1344579 1792772 2240965 2689158 3137351 4481930 5378316 6274702 6722895 8963860 9412053 12549404 13445790 15686755 18824106 26891580 31373510 37648212 47060265 62747020 94120530 188241060 272053151 544106302 816159453 1088212604 1360265755 1632318906 1904372057 2720531510 3264637812 3808744114 4080797265 5441063020 5713116171 7617488228 8161594530 9521860285 11426232342 16323189060 19043720570 22852464684 28565580855 38087441140 57131161710 114262323420