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230444032140 = 2232571303314033
BaseRepresentation
bin1101011010011110001…
…0001110000010001100
3211000211001002202110100
43112213202032002030
512233422133012030
6253510423211100
722435421645130
oct3264742160214
9730731082410
10230444032140
1189804715143
12387b32a6a90
13189666a178a
14b2214b33c0
155edb05d360
hex35a788e08c

230444032140 has 144 divisors (see below), whose sum is σ = 798990873408. Its totient is φ = 52665126912.

The previous prime is 230444032139. The next prime is 230444032157. The reversal of 230444032140 is 41230444032.

It is a happy number.

230444032140 is a `hidden beast` number, since 2 + 3 + 0 + 4 + 440 + 3 + 214 + 0 = 666.

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 47 ways as a sum of consecutive naturals, for example, 16414564 + ... + 16428596.

It is an arithmetic number, because the mean of its divisors is an integer number (5548547732).

Almost surely, 2230444032140 is an apocalyptic number.

230444032140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230444032140 is an abundant number, since it is smaller than the sum of its proper divisors (568546841268).

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

230444032140 is a wasteful number, since it uses less digits than its factorization.

230444032140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27088 (or 27083 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 230444032140 its reverse (41230444032), we get a palindrome (271674476172).

The spelling of 230444032140 in words is "two hundred thirty billion, four hundred forty-four million, thirty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 13033 14033 26066 28066 39099 42099 52132 56132 65165 70165 78198 84198 91231 98231 117297 126297 130330 140330 156396 168396 182462 195495 196462 210495 234594 252594 260660 273693 280660 294693 364924 390990 392924 420990 456155 469188 491155 505188 547386 586485 589386 631485 781980 821079 841980 884079 912310 982310 1094772 1172970 1178772 1262970 1368465 1473465 1642158 1768158 1824620 1964620 2345940 2525940 2736930 2946930 3284316 3536316 4105395 4420395 5473860 5893860 8210790 8840790 16421580 17681580 182892089 365784178 548676267 731568356 914460445 1097352534 1280244623 1646028801 1828920890 2194705068 2560489246 2743381335 3292057602 3657841780 3840733869 5120978492 5486762670 6401223115 6584115204 7681467738 8230144005 10973525340 11522201607 12802446230 15362935476 16460288010 19203669345 23044403214 25604892460 32920576020 38407338690 46088806428 57611008035 76814677380 115222016070 230444032140