Search a number
-
+
4085410442358 = 237619411694599
BaseRepresentation
bin111011011100110101011…
…100000010110001110110
3112110120011021111201120010
4323130311130002301312
51013413410033123413
612404451152121050
7601106164535130
oct73346534026166
915416137451503
104085410442358
111335681763113
1255b943836186
13238338b1871b
14101a4089c050
157140e457dc3
hex3b735702c76

4085410442358 has 64 divisors (see below), whose sum is σ = 9501256166400. Its totient is φ = 1146903926400.

The previous prime is 4085410442233. The next prime is 4085410442369. The reversal of 4085410442358 is 8532440145804.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1563543 + ... + 3258141.

It is an arithmetic number, because the mean of its divisors is an integer number (148457127600).

Almost surely, 24085410442358 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4085410442358, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4750628083200).

4085410442358 is an abundant number, since it is smaller than the sum of its proper divisors (5415845724042).

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

4085410442358 is a wasteful number, since it uses less digits than its factorization.

4085410442358 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1695613.

The product of its (nonzero) digits is 2457600, while the sum is 48.

The spelling of 4085410442358 in words is "four trillion, eighty-five billion, four hundred ten million, four hundred forty-two thousand, three hundred fifty-eight".

Divisors: 1 2 3 6 7 14 21 42 61 122 183 366 427 854 941 1281 1882 2562 2823 5646 6587 13174 19761 39522 57401 114802 172203 344406 401807 803614 1205421 1694599 2410842 3389198 5083797 10167594 11862193 23724386 35586579 71173158 103370539 206741078 310111617 620223234 723593773 1447187546 1594617659 2170781319 3189235318 4341562638 4783852977 9567705954 11162323613 22324647226 33486970839 66973941678 97271677199 194543354398 291815031597 583630063194 680901740393 1361803480786 2042705221179 4085410442358