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14335445320 = 2357319531733
BaseRepresentation
bin11010101100111010…
…11000100101001000
31101000001200002001021
431112131120211020
5213324333222240
610330254202224
71015150163140
oct152635304510
941001602037
1014335445320
116096a92279
122940ab3374
131475c6a331
1499dc75920
1558d7e454a
hex356758948

14335445320 has 128 divisors (see below), whose sum is σ = 38113597440. Its totient is φ = 4748728320.

The previous prime is 14335445303. The next prime is 14335445321. The reversal of 14335445320 is 2354453341.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (14335445321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8271174 + ... + 8272906.

It is an arithmetic number, because the mean of its divisors is an integer number (297762480).

Almost surely, 214335445320 is an apocalyptic number.

14335445320 is a gapful number since it is divisible by the number (10) 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 14335445320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19056798720).

14335445320 is an abundant number, since it is smaller than the sum of its proper divisors (23778152120).

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

14335445320 is a wasteful number, since it uses less digits than its factorization.

14335445320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2735 (or 2731 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 34.

Adding to 14335445320 its reverse (2354453341), we get a palindrome (16689898661).

The spelling of 14335445320 in words is "fourteen billion, three hundred thirty-five million, four hundred forty-five thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 31 35 40 56 62 70 124 140 155 217 248 280 310 434 620 868 953 1085 1240 1733 1736 1906 2170 3466 3812 4340 4765 6671 6932 7624 8665 8680 9530 12131 13342 13864 17330 19060 24262 26684 29543 33355 34660 38120 48524 53368 53723 59086 60655 66710 69320 97048 107446 118172 121310 133420 147715 206801 214892 236344 242620 266840 268615 295430 376061 413602 429784 485240 537230 590860 752122 827204 1034005 1074460 1181720 1504244 1651549 1654408 1880305 2068010 2148920 3008488 3303098 3760610 4136020 6606196 7521220 8257745 8272040 11560843 13212392 15042440 16515490 23121686 33030980 46243372 51198019 57804215 66061960 92486744 102396038 115608430 204792076 231216860 255990095 358386133 409584152 462433720 511980190 716772266 1023960380 1433544532 1791930665 2047920760 2867089064 3583861330 7167722660 14335445320