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214411013020232 = 23710142281896587
BaseRepresentation
bin110000110000000101110100…
…010001000101101001001000
31001010011111022011001202221222
4300300011310101011221020
5211100402223313121412
62040003020512021212
763106453532011040
oct6060056421055110
91033144264052858
10214411013020232
1162355222191446
122006a35a531808
139283b44386c82
143ad3796b54720
1519bc4c8648072
hexc30174445a48

214411013020232 has 64 divisors (see below), whose sum is σ = 464012693907840. Its totient is φ = 90978374592000.

The previous prime is 214411013020207. The next prime is 214411013020247. The reversal of 214411013020232 is 232020310114412.

It is a happy number.

It is a super-3 number, since 3×2144110130202323 (a number of 44 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 238693043 + ... + 239589629.

It is an arithmetic number, because the mean of its divisors is an integer number (7250198342310).

Almost surely, 2214411013020232 is an apocalyptic number.

It is an amenable number.

214411013020232 is an abundant number, since it is smaller than the sum of its proper divisors (249601680887608).

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

214411013020232 is a wasteful number, since it uses less digits than its factorization.

214411013020232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938982 (or 938978 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 214411013020232 its reverse (232020310114412), we get a palindrome (446431323134644).

The spelling of 214411013020232 in words is "two hundred fourteen trillion, four hundred eleven billion, thirteen million, twenty thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 56 101 202 404 707 808 1414 2828 5656 42281 84562 169124 295967 338248 591934 896587 1183868 1793174 2367736 3586348 4270381 6276109 7172696 8540762 12552218 17081524 25104436 29892667 34163048 50208872 59785334 90555287 119570668 181110574 239141336 362221148 633887009 724442296 1267774018 2535548036 5071096072 37908594947 75817189894 151634379788 265360164629 303268759576 530720329258 1061440658516 2122881317032 3828768089647 7657536179294 15315072358588 26801376627529 30630144717176 53602753255058 107205506510116 214411013020232