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4414505732 = 2271343893169
BaseRepresentation
bin1000001110010000…
…00000001100000100
3102101122200010102022
410013020000030010
533020103140412
62010014102312
7214252452050
oct40710001404
912348603368
104414505732
11196596754a
12a324aa998
13554771690
142dc412c60
151ac851a72
hex107200304

4414505732 has 96 divisors (see below), whose sum is σ = 9841708800. Its totient is φ = 1686085632.

The previous prime is 4414505723. The next prime is 4414505749. The reversal of 4414505732 is 2375054144.

It is a junction number, because it is equal to n+sod(n) for n = 4414505692 and 4414505701.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1391444 + ... + 1394612.

It is an arithmetic number, because the mean of its divisors is an integer number (102517800).

Almost surely, 24414505732 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 4414505732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4920854400).

4414505732 is an abundant number, since it is smaller than the sum of its proper divisors (5427203068).

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

4414505732 is a wasteful number, since it uses less digits than its factorization.

4414505732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3325 (or 3323 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 35.

The square root of 4414505732 is about 66441.7469065948. The cubic root of 4414505732 is about 1640.4413015267.

Adding to 4414505732 its reverse (2375054144), we get a palindrome (6789559876).

The spelling of 4414505732 in words is "four billion, four hundred fourteen million, five hundred five thousand, seven hundred thirty-two".

Divisors: 1 2 4 7 13 14 26 28 43 52 86 89 91 172 178 182 301 356 364 559 602 623 1118 1157 1204 1246 2236 2314 2492 3169 3827 3913 4628 6338 7654 7826 8099 12676 15308 15652 16198 22183 26789 32396 41197 44366 49751 53578 82394 88732 99502 107156 136267 164788 199004 272534 282041 288379 348257 545068 564082 576758 696514 953869 1128164 1153516 1393028 1771471 1907738 1974287 3542942 3666533 3815476 3948574 7085884 7333066 7897148 12127763 12400297 14666132 24255526 24800594 25665731 48511052 49601188 51331462 84894341 102662924 157660919 169788682 315321838 339577364 630643676 1103626433 2207252866 4414505732