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4135444014 = 2313736311151
BaseRepresentation
bin1111011001111101…
…1101111000101110
3101200012120022201010
43312133131320232
531432133202024
61522204530050
7204323460042
oct36637357056
911605508633
104135444014
111832394329
12974b50926
1350b9c50c0
142b3330022
151930cbb29
hexf67dde2e

4135444014 has 64 divisors (see below), whose sum is σ = 9051291648. Its totient is φ = 1251936000.

The previous prime is 4135443997. The next prime is 4135444039. The reversal of 4135444014 is 4104445314.

It is a Curzon number.

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, 3592339 + ... + 3593489.

It is an arithmetic number, because the mean of its divisors is an integer number (141426432).

Almost surely, 24135444014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4135444014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4525645824).

4135444014 is an abundant number, since it is smaller than the sum of its proper divisors (4915847634).

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

4135444014 is a wasteful number, since it uses less digits than its factorization.

4135444014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1873.

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 4135444014 is about 64307.4180324479. The cubic root of 4135444014 is about 1605.1195407902.

Adding to 4135444014 its reverse (4104445314), we get a palindrome (8239889328).

The spelling of 4135444014 in words is "four billion, one hundred thirty-five million, four hundred forty-four thousand, fourteen".

Divisors: 1 2 3 6 13 26 39 73 78 146 219 438 631 949 1151 1262 1893 1898 2302 2847 3453 3786 5694 6906 8203 14963 16406 24609 29926 44889 46063 49218 84023 89778 92126 138189 168046 252069 276378 504138 598819 726281 1092299 1197638 1452562 1796457 2178843 2184598 3276897 3592914 4357686 6553794 9441653 18883306 28324959 53018513 56649918 106037026 159055539 318111078 689240669 1378481338 2067722007 4135444014