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14350125328 = 2471157120399
BaseRepresentation
bin11010101110101010…
…11000100100010000
31101001002021220020021
431113111120210100
5213342113002303
610331540553224
71015416024040
oct152725304420
941032256207
1014350125328
1160a42a9610
1229459b2814
13147900a126
149a1bb7720
1558ec43ebd
hex357558910

14350125328 has 80 divisors (see below), whose sum is σ = 34726348800. Its totient is φ = 5580892800.

The previous prime is 14350125319. The next prime is 14350125359. The reversal of 14350125328 is 82352105341.

It is a junction number, because it is equal to n+sod(n) for n = 14350125293 and 14350125302.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 693273 + ... + 713671.

It is an arithmetic number, because the mean of its divisors is an integer number (434079360).

Almost surely, 214350125328 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 14350125328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17363174400).

14350125328 is an abundant number, since it is smaller than the sum of its proper divisors (20376223472).

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

14350125328 is a wasteful number, since it uses less digits than its factorization.

14350125328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20996 (or 20990 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

The spelling of 14350125328 in words is "fourteen billion, three hundred fifty million, one hundred twenty-five thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 308 571 616 1142 1232 2284 3997 4568 6281 7994 9136 12562 15988 20399 25124 31976 40798 43967 50248 63952 81596 87934 100496 142793 163192 175868 224389 285586 326384 351736 448778 571172 703472 897556 1142344 1570723 1795112 2284688 3141446 3590224 6282892 11647829 12565784 23295658 25131568 46591316 81534803 93182632 128126119 163069606 186365264 256252238 326139212 512504476 652278424 896882833 1025008952 1304556848 1793765666 2050017904 3587531332 7175062664 14350125328