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114031321404 = 223711139493117
BaseRepresentation
bin110101000110011001…
…0111110000100111100
3101220100001001022201020
41222030302332010330
53332014004241104
6124215114544140
711144542145040
oct1521462760474
9356301038636
10114031321404
11443a67875a0
121a124a38050
13a9a3766ba0
14573a76c020
152e75ea82d9
hex1a8ccbe13c

114031321404 has 96 divisors (see below), whose sum is σ = 357245016576. Its totient is φ = 27340174080.

The previous prime is 114031321373. The next prime is 114031321427. The reversal of 114031321404 is 404123130411.

It is a super-2 number, since 2×1140313214042 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4734547 + ... + 4758570.

It is an arithmetic number, because the mean of its divisors is an integer number (3721302256).

Almost surely, 2114031321404 is an apocalyptic number.

114031321404 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

114031321404 is an abundant number, since it is smaller than the sum of its proper divisors (243213695172).

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

114031321404 is a wasteful number, since it uses less digits than its factorization.

114031321404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9493155 (or 9493153 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 114031321404 its reverse (404123130411), we get a palindrome (518154451815).

The spelling of 114031321404 in words is "one hundred fourteen billion, thirty-one million, three hundred twenty-one thousand, four hundred four".

Divisors: 1 2 3 4 6 7 11 12 13 14 21 22 26 28 33 39 42 44 52 66 77 78 84 91 132 143 154 156 182 231 273 286 308 364 429 462 546 572 858 924 1001 1092 1716 2002 3003 4004 6006 12012 9493117 18986234 28479351 37972468 56958702 66451819 104424287 113917404 123410521 132903638 199355457 208848574 246821042 265807276 313272861 370231563 398710914 417697148 493642084 626545722 730970009 740463126 797421828 863873647 1253091444 1357515731 1461940018 1480926252 1727747294 2192910027 2591620941 2715031462 2923880036 3455494588 4072547193 4385820054 5183241882 5430062924 8145094386 8771640108 9502610117 10366483764 16290188772 19005220234 28507830351 38010440468 57015660702 114031321404