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14323644330 = 2352947433809
BaseRepresentation
bin11010101011100000…
…10111011110101010
31100222020110112010120
431111300113132222
5213313323104310
610325153224110
71014644653002
oct152560273652
940866415116
1014323644330
116090361a96
122938b62036
131473697ab8
1499c483002
1558c762b70
hex355c177aa

14323644330 has 128 divisors (see below), whose sum is σ = 36447667200. Its totient is φ = 3596673024.

The previous prime is 14323644319. The next prime is 14323644331. The reversal of 14323644330 is 3344632341.

It is a super-2 number, since 2×143236443302 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14323644291 and 14323644300.

It is not an unprimeable number, because it can be changed into a prime (14323644331) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 17704966 + ... + 17705774.

It is an arithmetic number, because the mean of its divisors is an integer number (284747400).

Almost surely, 214323644330 is an apocalyptic number.

14323644330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14323644330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18223833600).

14323644330 is an abundant number, since it is smaller than the sum of its proper divisors (22124022870).

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

14323644330 is a wasteful number, since it uses less digits than its factorization.

14323644330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1328.

The product of its (nonzero) digits is 62208, while the sum is 33.

The spelling of 14323644330 in words is "fourteen billion, three hundred twenty-three million, six hundred forty-four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 29 30 47 58 87 94 141 145 174 235 282 290 433 435 470 705 809 866 870 1299 1363 1410 1618 2165 2427 2598 2726 4045 4089 4330 4854 6495 6815 8090 8178 12135 12557 12990 13630 20351 20445 23461 24270 25114 37671 38023 40702 40890 46922 61053 62785 70383 75342 76046 101755 114069 117305 122106 125570 140766 188355 190115 203510 228138 234610 305265 350297 351915 376710 380230 570345 590179 610530 700594 703830 1050891 1102667 1140690 1180358 1751485 1770537 2101782 2205334 2950895 3308001 3502970 3541074 5254455 5513335 5901790 6616002 8852685 10158613 10508910 11026670 16463959 16540005 17705370 20317226 30475839 32927918 33080010 49391877 50793065 60951678 82319795 98783754 101586130 152379195 164639590 246959385 304758390 477454811 493918770 954909622 1432364433 2387274055 2864728866 4774548110 7161822165 14323644330