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14329419072 = 263434314027
BaseRepresentation
bin11010101100001100…
…11001010101000000
31100222122022220120220
431112012121111000
5213321312402242
610325521103040
71015045023663
oct152606312500
940878286526
1014329419072
116093646701
12293aa87a80
13147493a3c7
1499d1476da
1558d003bec
hex356199540

14329419072 has 112 divisors (see below), whose sum is σ = 38894625792. Its totient is φ = 4653411840.

The previous prime is 14329419043. The next prime is 14329419073. The reversal of 14329419072 is 27091492341.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14329419073) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3556323 + ... + 3560349.

Almost surely, 214329419072 is an apocalyptic number.

14329419072 is a gapful number since it is divisible by the number (12) 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 14329419072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19447312896).

14329419072 is an abundant number, since it is smaller than the sum of its proper divisors (24565206720).

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

14329419072 is a wasteful number, since it uses less digits than its factorization.

14329419072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4516 (or 4506 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The spelling of 14329419072 in words is "fourteen billion, three hundred twenty-nine million, four hundred nineteen thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 129 172 192 258 344 431 516 688 862 1032 1293 1376 1724 2064 2586 2752 3448 4027 4128 5172 6896 8054 8256 10344 12081 13792 16108 18533 20688 24162 27584 32216 37066 41376 48324 55599 64432 74132 82752 96648 111198 128864 148264 173161 193296 222396 257728 296528 346322 386592 444792 519483 593056 692644 773184 889584 1038966 1186112 1385288 1735637 1779168 2077932 2770576 3471274 3558336 4155864 5206911 5541152 6942548 8311728 10413822 11082304 13885096 16623456 20827644 27770192 33246912 41655288 55540384 74632391 83310576 111080768 149264782 166621152 223897173 298529564 333242304 447794346 597059128 895588692 1194118256 1791177384 2388236512 3582354768 4776473024 7164709536 14329419072