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414032134021 = 111731539471423
BaseRepresentation
bin1100000011001100011…
…11001111111110000101
31110120200121111122011021
412001212033033332011
523240414211242041
6514112001311141
741625050033512
oct6014617177605
91416617448137
10414032134021
1114a654389380
12682aa6354b1
13300737bb61c
1416079a42309
15ab83777cd1
hex60663cff85

414032134021 has 64 divisors (see below), whose sum is σ = 503866884096. Its totient is φ = 335764915200.

The previous prime is 414032134001. The next prime is 414032134063. The reversal of 414032134021 is 120431230414.

It is not a de Polignac number, because 414032134021 - 211 = 414032131973 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414032134001) 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, 290956516 + ... + 290957938.

It is an arithmetic number, because the mean of its divisors is an integer number (7872920064).

Almost surely, 2414032134021 is an apocalyptic number.

It is an amenable number.

414032134021 is a deficient number, since it is larger than the sum of its proper divisors (89834750075).

414032134021 is a wasteful number, since it uses less digits than its factorization.

414032134021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2482.

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 414032134021 its reverse (120431230414), we get a palindrome (534463364435).

The spelling of 414032134021 in words is "four hundred fourteen billion, thirty-two million, one hundred thirty-four thousand, twenty-one".

Divisors: 1 11 17 31 53 187 341 527 583 901 947 1423 1643 5797 9911 10417 15653 16099 18073 24191 27931 29357 44113 50191 75419 177089 266101 307241 322927 485243 499069 552101 749921 829609 853247 1282123 1347581 1555921 2337989 5489759 8249131 9385717 14103353 14823391 17115131 22908877 25717879 26450657 39745813 41775011 71421793 251997647 290957227 437203943 459525121 710175187 785639723 1214170481 2214075583 7811927057 13355875291 24354831413 37639284911 414032134021