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112404044214 = 232721141282577
BaseRepresentation
bin110100010101111001…
…1011001100110110110
3101202010122001002001200
41220223303121212312
53320200413403324
6123345424433330
711056322416500
oct1505363314666
9352118032050
10112404044214
1143741175110
121994ba78846
13a7a45a0587
1456245b6d70
152dcd1bbec9
hex1a2bcd99b6

112404044214 has 144 divisors (see below), whose sum is σ = 316598130576. Its totient is φ = 28483660800.

The previous prime is 112404044141. The next prime is 112404044243. The reversal of 112404044214 is 412440404211.

It is a happy number.

112404044214 is a `hidden beast` number, since 1 + 1 + 2 + 40 + 404 + 4 + 214 = 666.

It is a super-3 number, since 3×1124040442143 (a number of 34 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 256494 + ... + 539070.

It is an arithmetic number, because the mean of its divisors is an integer number (2198598129).

Almost surely, 2112404044214 is an apocalyptic number.

112404044214 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112404044214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158299065288).

112404044214 is an abundant number, since it is smaller than the sum of its proper divisors (204194086362).

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

112404044214 is a wasteful number, since it uses less digits than its factorization.

112404044214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282651 (or 282641 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 112404044214 its reverse (412440404211), we get a palindrome (524844448425).

The spelling of 112404044214 in words is "one hundred twelve billion, four hundred four million, forty-four thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 41 42 49 63 66 77 82 98 99 123 126 147 154 198 231 246 287 294 369 441 451 462 539 574 693 738 861 882 902 1078 1353 1386 1617 1722 2009 2583 2706 3157 3234 4018 4059 4851 5166 6027 6314 8118 9471 9702 12054 18081 18942 22099 28413 36162 44198 56826 66297 132594 198891 282577 397782 565154 847731 1695462 1978039 2543193 3108347 3956078 5086386 5934117 6216694 9325041 11585657 11868234 13846273 17802351 18650082 21758429 23171314 27692546 27975123 34756971 35604702 41538819 43516858 55950246 65275287 69513942 81099599 83077638 104270913 124616457 127442227 130550574 152309003 162199198 195825861 208541826 243298797 249232914 254884454 304618006 382326681 391651722 456927009 486597594 567697193 729896391 764653362 892095589 913854018 1135394386 1146980043 1370781027 1459792782 1703091579 1784191178 2293960086 2676286767 2741562054 3406183158 5109274737 5352573534 6244669123 8028860301 10218549474 12489338246 16057720602 18734007369 37468014738 56202022107 112404044214