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4000234413 = 37341531789
BaseRepresentation
bin1110111001101110…
…1011101110101101
3101022210010222000010
43232123223232231
531143030000123
61500534523433
7201062301000
oct35633535655
911283128003
104000234413
11177303435a
12937806579
134b99a4316
1429d3b5537
151862be993
hexee6ebbad

4000234413 has 64 divisors (see below), whose sum is σ = 6495552000. Its totient is φ = 2186795520.

The previous prime is 4000234411. The next prime is 4000234417. The reversal of 4000234413 is 3144320004.

It is not a de Polignac number, because 4000234413 - 21 = 4000234411 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 4000234413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4000234411) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2235123 + ... + 2236911.

It is an arithmetic number, because the mean of its divisors is an integer number (101493000).

Almost surely, 24000234413 is an apocalyptic number.

It is an amenable number.

4000234413 is a deficient number, since it is larger than the sum of its proper divisors (2495317587).

4000234413 is a wasteful number, since it uses less digits than its factorization.

4000234413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1907 (or 1893 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 4000234413 is about 63247.4063737004. The cubic root of 4000234413 is about 1587.4320603160.

Adding to 4000234413 its reverse (3144320004), we get a palindrome (7144554417).

The spelling of 4000234413 in words is "four billion, two hundred thirty-four thousand, four hundred thirteen".

Divisors: 1 3 7 21 41 49 53 123 147 159 287 343 371 861 1029 1113 1789 2009 2173 2597 5367 6027 6519 7791 12523 14063 15211 18179 37569 42189 45633 54537 73349 87661 94817 106477 220047 262983 284451 319431 513443 613627 663719 745339 1540329 1840881 1991157 2236017 3594101 3887497 4646033 10782303 11662491 13938099 25158707 27212479 32522231 75476121 81637437 97566693 190487353 571462059 1333411471 4000234413