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114523303022240 = 2557229503709109
BaseRepresentation
bin11010000010100010001000…
…110010111000111010100000
3120000111022122220012101020112
4122002202020302320322200
5110002322211033202430
61043323140141430452
733060015132026600
oct3202421062707240
9500438586171215
10114523303022240
1133544072a37822
1210a1747256b428
134bb9668cc23c8
14203cd59310c00
15d3903201a195
hex682888cb8ea0

114523303022240 has 144 divisors (see below), whose sum is σ = 325587494521800. Its totient is φ = 37911162304512.

The previous prime is 114523303022239. The next prime is 114523303022299. The reversal of 114523303022240 is 42220303325411.

114523303022240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 108661694024464 + 5861608997776 = 10424092^2 + 2421076^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 114523303022197 and 114523303022206.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 251627195 + ... + 252081914.

Almost surely, 2114523303022240 is an apocalyptic number.

114523303022240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114523303022240 is an abundant number, since it is smaller than the sum of its proper divisors (211064191499560).

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

114523303022240 is a wasteful number, since it uses less digits than its factorization.

114523303022240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503709167 (or 503709152 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

Adding to 114523303022240 its reverse (42220303325411), we get a palindrome (156743606347651).

The spelling of 114523303022240 in words is "one hundred fourteen trillion, five hundred twenty-three billion, three hundred three million, twenty-two thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 29 32 35 40 49 56 58 70 80 98 112 116 140 145 160 196 203 224 232 245 280 290 392 406 464 490 560 580 784 812 928 980 1015 1120 1160 1421 1568 1624 1960 2030 2320 2842 3248 3920 4060 4640 5684 6496 7105 7840 8120 11368 14210 16240 22736 28420 32480 45472 56840 113680 227360 503709109 1007418218 2014836436 2518545545 3525963763 4029672872 5037091090 7051927526 8059345744 10074182180 14103855052 14607564161 16118691488 17629818815 20148364360 24681746341 28207710104 29215128322 35259637630 40296728720 49363492682 56415420208 58430256644 70519275260 73037820805 80593457440 98726985364 102252949127 112830840416 116860513288 123408731705 141038550520 146075641610 197453970728 204505898254 233721026576 246817463410 282077101040 292151283220 394907941456 409011796508 467442053152 493634926820 511264745635 564154202080 584302566440 715770643889 789815882912 818023593016 987269853640 1022529491270 1168605132880 1431541287778 1636047186032 1974539707280 2045058982540 2337210265760 2863082575556 3272094372064 3578853219445 3949079414560 4090117965080 5726165151112 7157706438890 8180235930160 11452330302224 14315412877780 16360471860320 22904660604448 28630825755560 57261651511120 114523303022240