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411441363144114 = 23298391931000243
BaseRepresentation
bin101110110001101000010100…
…0010010111100110110110010
31222221210102002000112121010120
41131203100220102330312302
5412412023402431102424
64015021315230311110
7152443441351011612
oct13543205022746662
91887712060477116
10411441363144114
1110a109336271326
123a190114058496
13148769a58a8734
147385c225caa42
1532878026cca79
hex17634284bcdb2

411441363144114 has 64 divisors (see below), whose sum is σ = 862451588275200. Its totient is φ = 130680156140352.

The previous prime is 411441363144101. The next prime is 411441363144157.

411441363144114 is nontrivially palindromic in base 10.

It is a Curzon 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, 2227924 + ... + 28772319.

It is an arithmetic number, because the mean of its divisors is an integer number (13475806066800).

Almost surely, 2411441363144114 is an apocalyptic number.

411441363144114 is an abundant number, since it is smaller than the sum of its proper divisors (451010225131086).

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

411441363144114 is a wasteful number, since it uses less digits than its factorization.

411441363144114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31001279.

The product of its digits is 221184, while the sum is 42.

The spelling of 411441363144114 in words is "four hundred eleven trillion, four hundred forty-one billion, three hundred sixty-three million, one hundred forty-four thousand, one hundred fourteen".

Divisors: 1 2 3 6 29 58 83 87 166 174 249 498 919 1838 2407 2757 4814 5514 7221 14442 26651 53302 76277 79953 152554 159906 228831 457662 2212033 4424066 6636099 13272198 31000243 62000486 93000729 186001458 899007047 1798014094 2573020169 2697021141 5146040338 5394042282 7719060507 15438121014 28489223317 56978446634 74617584901 85467669951 149235169802 170935339902 223852754703 447705509406 826187476193 1652374952386 2364605535311 2478562428579 4729211070622 4957124857158 7093816605933 14187633211866 68573560524019 137147121048038 205720681572057 411441363144114