Search a number
-
+
14420422044 = 22327731495261
BaseRepresentation
bin11010110111000011…
…00010110110011100
31101012222120100012100
431123201202312130
5214013112001134
610342531405100
71020231364530
oct153341426634
941188510170
1014420422044
11612aa52576
122965453790
13148a750a12
149ab275bc0
15595ecc999
hex35b862d9c

14420422044 has 144 divisors (see below), whose sum is σ = 42521169600. Its totient is φ = 4035640320.

The previous prime is 14420422031. The next prime is 14420422067. The reversal of 14420422044 is 44022402441.

14420422044 is a `hidden beast` number, since 14 + 420 + 4 + 220 + 4 + 4 = 666.

It is a super-2 number, since 2×144204220442 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14420421999 and 14420422017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2738374 + ... + 2743634.

It is an arithmetic number, because the mean of its divisors is an integer number (295285900).

Almost surely, 214420422044 is an apocalyptic number.

14420422044 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14420422044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21260584800).

14420422044 is an abundant number, since it is smaller than the sum of its proper divisors (28100747556).

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

14420422044 is a wasteful number, since it uses less digits than its factorization.

14420422044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5500 (or 5495 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 14420422044 its reverse (44022402441), we get a palindrome (58442824485).

The spelling of 14420422044 in words is "fourteen billion, four hundred twenty million, four hundred twenty-two thousand, forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 73 84 126 146 149 219 252 292 298 438 447 511 596 657 876 894 1022 1043 1314 1341 1533 1788 2044 2086 2628 2682 3066 3129 4172 4599 5261 5364 6132 6258 9198 9387 10522 10877 12516 15783 18396 18774 21044 21754 31566 32631 36827 37548 43508 47349 63132 65262 73654 76139 94698 97893 110481 130524 147308 152278 189396 195786 220962 228417 304556 331443 384053 391572 441924 456834 662886 685251 768106 783889 913668 1152159 1325772 1370502 1536212 1567778 2304318 2351667 2688371 2741004 3135556 3456477 4608636 4703334 5376742 5487223 6912954 7055001 8065113 9406668 10753484 10974446 13825908 14110002 16130226 16461669 21948892 24195339 28220004 32260452 32923338 48390678 49385007 57223897 65846676 96781356 98770014 114447794 171671691 197540028 228895588 343343382 400567279 515015073 686686764 801134558 1030030146 1201701837 1602269116 2060060292 2403403674 3605105511 4806807348 7210211022 14420422044