Search a number
-
+
43420351086 = 23272591635119
BaseRepresentation
bin101000011100000011…
…011111101001101110
311011002001001101010100
4220130003133221232
51202411102213321
631540320451530
73064665615600
oct503403375156
9134061041110
1043420351086
1117461724482
1284b9479ba6
13412c882548
14215c955170
1511e1e0e326
hexa1c0dfa6e

43420351086 has 144 divisors (see below), whose sum is σ = 111996518400. Its totient is φ = 12118359456.

The previous prime is 43420351043. The next prime is 43420351087. The reversal of 43420351086 is 68015302434.

43420351086 is a `hidden beast` number, since 43 + 4 + 20 + 3 + 510 + 86 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 43420351086.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43420351087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8479635 + ... + 8484753.

It is an arithmetic number, because the mean of its divisors is an integer number (777753600).

Almost surely, 243420351086 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43420351086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55998259200).

43420351086 is an abundant number, since it is smaller than the sum of its proper divisors (68576167314).

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

43420351086 is a wasteful number, since it uses less digits than its factorization.

43420351086 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5363 (or 5353 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 43420351086 in words is "forty-three billion, four hundred twenty million, three hundred fifty-one thousand, eighty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 59 63 98 118 126 147 163 177 294 326 354 413 441 489 531 826 882 978 1062 1141 1239 1467 2282 2478 2891 2934 3423 3717 5119 5782 6846 7434 7987 8673 9617 10238 10269 15357 15974 17346 19234 20538 23961 26019 28851 30714 35833 46071 47922 52038 57702 67319 71666 71883 86553 92142 107499 134638 143766 173106 201957 214998 250831 302021 322497 403914 471233 501662 604042 605871 644994 752493 834397 906063 942466 1211742 1413699 1504986 1668794 1812126 2114147 2257479 2503191 2718189 2827398 4228294 4241097 4514958 5006382 5436378 5840779 6342441 7509573 8482194 11681558 12684882 14799029 15019146 17522337 19027323 29598058 35044674 38054646 40885453 44397087 49229423 52567011 81770906 88794174 98458846 105134022 122656359 133191261 147688269 245312718 266382522 295376538 344605961 367969077 443064807 689211922 735938154 886129614 1033817883 2067635766 2412241727 3101453649 4824483454 6202907298 7236725181 14473450362 21710175543 43420351086