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4414279324 = 2271322340559
BaseRepresentation
bin1000001110001110…
…01000111010011100
3102101122020121211211
410013013020322130
533020023414244
62010005154204
7214250520010
oct40707107234
912348217754
104414279324
111965822434
12a323bb964
135546c2600
142dc394540
151ac809934
hex1071c8e9c

4414279324 has 72 divisors (see below), whose sum is σ = 9975813120. Its totient is φ = 1670340672.

The previous prime is 4414279319. The next prime is 4414279351. The reversal of 4414279324 is 4239724144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88557 + ... + 129115.

It is an arithmetic number, because the mean of its divisors is an integer number (138552960).

Almost surely, 24414279324 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 4414279324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4987906560).

4414279324 is an abundant number, since it is smaller than the sum of its proper divisors (5561533796).

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

4414279324 is a wasteful number, since it uses less digits than its factorization.

4414279324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40619 (or 40604 counting only the distinct ones).

The product of its digits is 193536, while the sum is 40.

The square root of 4414279324 is about 66440.0430764460. The cubic root of 4414279324 is about 1640.4132564554.

The spelling of 4414279324 in words is "four billion, four hundred fourteen million, two hundred seventy-nine thousand, three hundred twenty-four".

Divisors: 1 2 4 7 13 14 23 26 28 46 52 91 92 161 169 182 299 322 338 364 598 644 676 1183 1196 2093 2366 3887 4186 4732 7774 8372 15548 27209 40559 54418 81118 108836 162236 283913 527267 567826 932857 1054534 1135652 1865714 2109068 3690869 3731428 6529999 6854471 7381738 12127141 13059998 13708942 14763476 24254282 26119996 27417884 47981297 48508564 84889987 95962594 157652833 169779974 191925188 315305666 339559948 630611332 1103569831 2207139662 4414279324