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14543027424 = 2532194196343
BaseRepresentation
bin11011000101101010…
…01111110011100000
31101112112021100011100
431202311033303200
5214241003334144
610403031314400
71023250456602
oct154265176340
941475240140
1014543027424
116193183832
12299a51ba00
1314a9c7a793
149bd66d172
155a1b4a269
hex362d4fce0

14543027424 has 144 divisors (see below), whose sum is σ = 43644182400. Its totient is φ = 4580851968.

The previous prime is 14543027419. The next prime is 14543027453. The reversal of 14543027424 is 42472034541.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×145430274242 (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2289597 + ... + 2295939.

It is an arithmetic number, because the mean of its divisors is an integer number (303084600).

Almost surely, 214543027424 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 14543027424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21822091200).

14543027424 is an abundant number, since it is smaller than the sum of its proper divisors (29101154976).

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

14543027424 is a wasteful number, since it uses less digits than its factorization.

14543027424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6797 (or 6786 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The spelling of 14543027424 in words is "fourteen billion, five hundred forty-three million, twenty-seven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 419 456 608 684 838 912 1257 1368 1676 1824 2514 2736 3352 3771 5028 5472 6343 6704 7542 7961 10056 12686 13408 15084 15922 19029 20112 23883 25372 30168 31844 38058 40224 47766 50744 57087 60336 63688 71649 76116 95532 101488 114174 120517 120672 127376 143298 152232 191064 202976 228348 241034 254752 286596 304464 361551 382128 456696 482068 573192 608928 723102 764256 913392 964136 1084653 1146384 1446204 1826784 1928272 2169306 2292768 2657717 2892408 3856544 4338612 5315434 5784816 7973151 8677224 10630868 11569632 15946302 17354448 21261736 23919453 31892604 34708896 42523472 47838906 50496623 63785208 85046944 95677812 100993246 127570416 151489869 191355624 201986492 255140832 302979738 382711248 403972984 454469607 605959476 765422496 807945968 908939214 1211918952 1615891936 1817878428 2423837904 3635756856 4847675808 7271513712 14543027424