Search a number
-
+
2432140030341 = 33731739416043
BaseRepresentation
bin100011011001000110110…
…101111011000110000101
322121111210000112221002000
4203121012311323012011
5304322010321432331
65101150521335513
7340500461104320
oct43310665730605
98544700487060
102432140030341
1185851270672a
12333446937599
1314847172cc38
1485a053a77b7
15433eb3230e6
hex23646d7b185

2432140030341 has 128 divisors (see below), whose sum is σ = 4314267156480. Its totient is φ = 1324909094400.

The previous prime is 2432140030339. The next prime is 2432140030351. The reversal of 2432140030341 is 1430300412342.

2432140030341 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2432140030341 - 21 = 2432140030339 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2432140030351) 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, 402469266 + ... + 402475308.

It is an arithmetic number, because the mean of its divisors is an integer number (33705212160).

Almost surely, 22432140030341 is an apocalyptic number.

2432140030341 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2432140030341 is a deficient number, since it is larger than the sum of its proper divisors (1882127126139).

2432140030341 is a wasteful number, since it uses less digits than its factorization.

2432140030341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7104 (or 7098 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 2432140030341 its reverse (1430300412342), we get a palindrome (3862440442683).

The spelling of 2432140030341 in words is "two trillion, four hundred thirty-two billion, one hundred forty million, thirty thousand, three hundred forty-one".

Divisors: 1 3 7 9 21 27 31 63 73 93 189 217 219 279 511 651 657 837 941 1533 1953 1971 2263 2823 4599 5859 6043 6587 6789 8469 13797 15841 18129 19761 20367 25407 29171 42301 47523 54387 59283 61101 68693 87513 126903 142569 163161 177849 187333 204197 206079 262539 380709 427707 441139 480851 561999 612591 618237 787617 1142127 1311331 1323417 1442553 1685997 1837773 1854711 2129483 3087973 3933993 3970251 4327659 5057991 5513319 5686463 6388449 9263919 11801979 11910753 12982977 13675309 14906381 17059389 19165347 27791757 35405937 39805241 41025927 44719143 51178167 57496041 83375271 95727163 119415723 123077781 134157429 153534501 176280353 287181489 358247169 369233343 402472287 415111799 528841059 861544467 1074741507 1233962471 1245335397 1586523177 2584633401 2905782593 3701887413 3736006191 4759569531 8717347779 11105662239 11208018573 12868465769 26152043337 33316986717 38605397307 78456130011 90079260383 115816191921 270237781149 347448575763 810713343447 2432140030341