Search a number
-
+
42014440234014 = 23191035044170937
BaseRepresentation
bin10011000110110001111111…
…10010010001110000011110
312111202112121120121202101120
421203120333302101300132
521001331033144442024
6225205100053351410
711564304665363313
oct1143307762216036
9174675546552346
1042014440234014
111242925121a456
12486681b038566
131a59c386c84b1
14a5371cabad0a
154ccd5a7dc479
hex26363fc91c1e

42014440234014 has 64 divisors (see below), whose sum is σ = 89313234716160. Its totient is φ = 13138459476480.

The previous prime is 42014440234007. The next prime is 42014440234021. The reversal of 42014440234014 is 41043204441024.

It is an interprime number because it is at equal distance from previous prime (42014440234007) and next prime (42014440234021).

It is a super-3 number, since 3×420144402340143 (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 592242754 + ... + 592313690.

It is an arithmetic number, because the mean of its divisors is an integer number (1395519292440).

Almost surely, 242014440234014 is an apocalyptic number.

42014440234014 is an abundant number, since it is smaller than the sum of its proper divisors (47298794482146).

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

42014440234014 is a wasteful number, since it uses less digits than its factorization.

42014440234014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121505.

The product of its (nonzero) digits is 49152, while the sum is 33.

Adding to 42014440234014 its reverse (41043204441024), we get a palindrome (83057644675038).

The spelling of 42014440234014 in words is "forty-two trillion, fourteen billion, four hundred forty million, two hundred thirty-four thousand, fourteen".

Divisors: 1 2 3 6 19 38 57 103 114 206 309 618 1957 3914 5871 11742 50441 70937 100882 141874 151323 212811 302646 425622 958379 1347803 1916758 2695606 2875137 4043409 5195423 5750274 7306511 8086818 10390846 14613022 15586269 21919533 31172538 43839066 98713037 138823709 197426074 277647418 296139111 416471127 592278222 832942254 3578133217 7156266434 10734399651 21468799302 67984531123 135969062246 203953593369 368547721351 407907186738 737095442702 1105643164053 2211286328106 7002406705669 14004813411338 21007220117007 42014440234014