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414201421110 = 23573331571399
BaseRepresentation
bin1100000011100000101…
…01000001110100110110
31110121010102001022101110
412001300111001310312
523241241030433420
6514140445535450
741632203663051
oct6016025016466
91417112038343
10414201421110
1114a7309a4264
1268337274586
133009c8b12b9
141609430ba98
15ab93566ee0
hex6070541d36

414201421110 has 64 divisors (see below), whose sum is σ = 1010747174400. Its totient is φ = 108611331840.

The previous prime is 414201421103. The next prime is 414201421141. The reversal of 414201421110 is 11124102414.

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, 439191 + ... + 1010589.

It is an arithmetic number, because the mean of its divisors is an integer number (15792924600).

Almost surely, 2414201421110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414201421110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505373587200).

414201421110 is an abundant number, since it is smaller than the sum of its proper divisors (596545753290).

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

414201421110 is a wasteful number, since it uses less digits than its factorization.

414201421110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571813.

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 414201421110 its reverse (11124102414), we get a palindrome (425325523524).

The spelling of 414201421110 in words is "four hundred fourteen billion, two hundred one million, four hundred twenty-one thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 73 146 219 331 365 438 662 730 993 1095 1655 1986 2190 3310 4965 9930 24163 48326 72489 120815 144978 241630 362445 571399 724890 1142798 1714197 2856995 3428394 5713990 8570985 17141970 41712127 83424254 125136381 189133069 208560635 250272762 378266138 417121270 567399207 625681905 945665345 1134798414 1251363810 1891330690 2836996035 5673992070 13806714037 27613428074 41420142111 69033570185 82840284222 138067140370 207100710555 414201421110