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14432324016 = 24311891971559
BaseRepresentation
bin11010111000011101…
…11100100110110000
31101020210222000122010
431130032330212300
5214024133332031
610344034442520
71020434505255
oct153416744660
941223860563
1014432324016
116136741710
122969433440
13149005a1c6
149aca9342c
1559707e246
hex35c3bc9b0

14432324016 has 160 divisors (see below), whose sum is σ = 41365209600. Its totient is φ = 4299581440.

The previous prime is 14432323987. The next prime is 14432324051. The reversal of 14432324016 is 61042323441.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9256645 + ... + 9258203.

It is an arithmetic number, because the mean of its divisors is an integer number (258532560).

Almost surely, 214432324016 is an apocalyptic number.

14432324016 is a gapful number since it is divisible by the number (16) 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 14432324016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20682604800).

14432324016 is an abundant number, since it is smaller than the sum of its proper divisors (26932885584).

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

14432324016 is a wasteful number, since it uses less digits than its factorization.

14432324016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1867 (or 1861 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 14432324016 its reverse (61042323441), we get a palindrome (75474647457).

The spelling of 14432324016 in words is "fourteen billion, four hundred thirty-two million, three hundred twenty-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 89 132 176 178 197 264 267 356 394 528 534 591 712 788 979 1068 1182 1424 1559 1576 1958 2136 2167 2364 2937 3118 3152 3916 4272 4334 4677 4728 5874 6236 6501 7832 8668 9354 9456 11748 12472 13002 15664 17149 17336 17533 18708 23496 24944 26004 34298 34672 35066 37416 46992 51447 52008 52599 68596 70132 74832 102894 104016 105198 137192 138751 140264 192863 205788 210396 274384 277502 280528 307123 385726 411576 416253 420792 555004 578589 614246 771452 823152 832506 841584 921369 1110008 1157178 1228492 1526261 1542904 1665012 1842738 2220016 2314356 2456984 3052522 3085808 3330024 3378353 3685476 4578783 4628712 4913968 6105044 6660048 6756706 7370952 9157566 9257424 10135059 12210088 13513412 14741904 18315132 20270118 24420176 27026824 27333947 36630264 40540236 54053648 54667894 73260528 81080472 82001841 109335788 162160944 164003682 218671576 300673417 328007364 437343152 601346834 656014728 902020251 1202693668 1312029456 1804040502 2405387336 3608081004 4810774672 7216162008 14432324016