Search a number
-
+
41431414204120 = 23516334918207769
BaseRepresentation
bin10010110101110100000001…
…01110011110011011011000
312102200210201111021201111211
421122322000232132123120
520412303014014012440
6224041155014232504
711504215032034513
oct1132720056363330
9172623644251454
1041431414204120
1112223a67226926
124791828955734
131a16c725494a5
14a33410c9bd7a
154bcad5c03eea
hex25ae80b9e6d8

41431414204120 has 64 divisors (see below), whose sum is σ = 94061339820000. Its totient is φ = 16423698060288.

The previous prime is 41431414204111. The next prime is 41431414204127. The reversal of 41431414204120 is 2140241413414.

41431414204120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41431414204127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6828405 + ... + 11379364.

Almost surely, 241431414204120 is an apocalyptic number.

41431414204120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41431414204120 is an abundant number, since it is smaller than the sum of its proper divisors (52629925615880).

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

41431414204120 is a wasteful number, since it uses less digits than its factorization.

41431414204120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18208292 (or 18208288 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 31.

Adding to 41431414204120 its reverse (2140241413414), we get a palindrome (43571655617534).

The spelling of 41431414204120 in words is "forty-one trillion, four hundred thirty-one billion, four hundred fourteen million, two hundred four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 163 326 349 652 698 815 1304 1396 1630 1745 2792 3260 3490 6520 6980 13960 56887 113774 227548 284435 455096 568870 1137740 2275480 18207769 36415538 72831076 91038845 145662152 182077690 364155380 728310760 2967866347 5935732694 6354511381 11871465388 12709022762 14839331735 23742930776 25418045524 29678663470 31772556905 50836091048 59357326940 63545113810 118714653880 127090227620 254180455240 1035785355103 2071570710206 4143141420412 5178926775515 8286282840824 10357853551030 20715707102060 41431414204120