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14328323712 = 273329142963
BaseRepresentation
bin11010101100000100…
…01101111010000000
31100222120021021001000
431112002031322000
5213321022324322
610325441412000
71015032512343
oct152602157200
940876237030
1014328323712
116092a6874a
12293a63a000
131474645971
1499cd4045a
1558cd893ac
hex35608de80

14328323712 has 128 divisors (see below), whose sum is σ = 43746984000. Its totient is φ = 4611382272.

The previous prime is 14328323687. The next prime is 14328323747. The reversal of 14328323712 is 21732382341.

14328323712 is a `hidden beast` number, since 1 + 4 + 3 + 283 + 2 + 371 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×143283237122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 28743 + ... + 171705.

Almost surely, 214328323712 is an apocalyptic number.

14328323712 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 14328323712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21873492000).

14328323712 is an abundant number, since it is smaller than the sum of its proper divisors (29418660288).

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

14328323712 is a wasteful number, since it uses less digits than its factorization.

14328323712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143015 (or 142997 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The spelling of 14328323712 in words is "fourteen billion, three hundred twenty-eight million, three hundred twenty-three thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 64 72 87 96 108 116 128 144 174 192 216 232 261 288 348 384 432 464 522 576 696 783 864 928 1044 1152 1392 1566 1728 1856 2088 2784 3132 3456 3712 4176 5568 6264 8352 11136 12528 16704 25056 33408 50112 100224 142963 285926 428889 571852 857778 1143704 1286667 1715556 2287408 2573334 3431112 3860001 4145927 4574816 5146668 6862224 7720002 8291854 9149632 10293336 12437781 13724448 15440004 16583708 18299264 20586672 24875562 27448896 30880008 33167416 37313343 41173344 49751124 54897792 61760016 66334832 74626686 82346688 99502248 111940029 123520032 132669664 149253372 164693376 199004496 223880058 247040064 265339328 298506744 398008992 447760116 494080128 530678656 597013488 796017984 895520232 1194026976 1592035968 1791040464 2388053952 3582080928 4776107904 7164161856 14328323712