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214441233426 = 232741253916349
BaseRepresentation
bin1100011110110110110…
…0011000110000010010
3202111111210000100112200
43013231230120300102
512003133423432201
6242302443504030
721331024260240
oct3075554306022
9674453010480
10214441233426
1182a42538662
1235687b28016
13172b6178704
14a544013790
1558a11b3386
hex31edb18c12

214441233426 has 96 divisors (see below), whose sum is σ = 544196016000. Its totient is φ = 59747362560.

The previous prime is 214441233421. The next prime is 214441233427. The reversal of 214441233426 is 624332144412.

214441233426 is a `hidden beast` number, since 214 + 4 + 4 + 12 + 3 + 3 + 426 = 666.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (214441233421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13108300 + ... + 13124648.

It is an arithmetic number, because the mean of its divisors is an integer number (5668708500).

Almost surely, 2214441233426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214441233426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272098008000).

214441233426 is an abundant number, since it is smaller than the sum of its proper divisors (329754782574).

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

214441233426 is a wasteful number, since it uses less digits than its factorization.

214441233426 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18944 (or 18941 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

Adding to 214441233426 its reverse (624332144412), we get a palindrome (838773377838).

The spelling of 214441233426 in words is "two hundred fourteen billion, four hundred forty-one million, two hundred thirty-three thousand, four hundred twenty-six".

Divisors: 1 2 3 6 7 9 14 18 21 41 42 63 82 123 126 246 287 369 574 738 861 1722 2539 2583 5078 5166 7617 15234 16349 17773 22851 32698 35546 45702 49047 53319 98094 104099 106638 114443 147141 159957 208198 228886 294282 312297 319914 343329 624594 670309 686658 728693 936891 1029987 1340618 1457386 1873782 2010927 2059974 2186079 4021854 4372158 4692163 6032781 6558237 9384326 12065562 13116474 14076489 28152978 41510111 42229467 83020222 84458934 124530333 249060666 290570777 373590999 581141554 747181998 871712331 1701914551 1743424662 2615136993 3403829102 5105743653 5230273986 10211487306 11913401857 15317230959 23826803714 30634461918 35740205571 71480411142 107220616713 214441233426