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44201014424 = 23717435918301
BaseRepresentation
bin101001001010100101…
…011111010010011000
311020002110000011220022
4221022211133102120
51211010424430144
632150005050012
73123225265160
oct511245372230
9136073004808
1044201014424
1117822358396
1286969b6908
134225524c08
1421d44c95a0
15123a716cee
hexa4a95f498

44201014424 has 128 divisors (see below), whose sum is σ = 104365324800. Its totient is φ = 17118259200.

The previous prime is 44201014399. The next prime is 44201014427. The reversal of 44201014424 is 42441010244.

It is a super-2 number, since 2×442010144242 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 44201014393 and 44201014402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44201014427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2406074 + ... + 2424374.

It is an arithmetic number, because the mean of its divisors is an integer number (815354100).

Almost surely, 244201014424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44201014424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52182662400).

44201014424 is an abundant number, since it is smaller than the sum of its proper divisors (60164310376).

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

44201014424 is a wasteful number, since it uses less digits than its factorization.

44201014424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18433 (or 18429 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

Adding to 44201014424 its reverse (42441010244), we get a palindrome (86642024668).

The spelling of 44201014424 in words is "forty-four billion, two hundred one million, fourteen thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 17 28 34 43 56 59 68 86 118 119 136 172 236 238 301 344 413 472 476 602 731 826 952 1003 1204 1462 1652 2006 2408 2537 2924 3304 4012 5074 5117 5848 7021 8024 10148 10234 14042 17759 18301 20296 20468 28084 35518 36602 40936 43129 56168 71036 73204 86258 128107 142072 146408 172516 256214 301903 311117 345032 512428 603806 622234 786943 1024856 1079759 1207612 1244468 1573886 2159518 2177819 2415224 2488936 3147772 4319036 4355638 5508601 6295544 7558313 8638072 8711276 11017202 13378031 15116626 17422552 18355903 22034404 26756062 30233252 36711806 44068808 46429637 53512124 60466504 73423612 92859274 93646217 107024248 128491321 146847224 185718548 187292434 256982642 325007459 371437096 374584868 513965284 650014918 749169736 789303829 1027930568 1300029836 1578607658 2600059672 3157215316 5525126803 6314430632 11050253606 22100507212 44201014424