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14332304896 = 29713319923
BaseRepresentation
bin11010101100100010…
…11001111000000000
31100222211202112012021
431112101121320000
5213323032224041
610330103011224
71015111403320
oct152621317000
940884675167
1014332304896
116095237888
12293ba39b14
13147540aab0
1499d699280
1558d3c3cd1
hex356459e00

14332304896 has 160 divisors (see below), whose sum is σ = 36385671168. Its totient is φ = 5486469120.

The previous prime is 14332304863. The next prime is 14332304911. The reversal of 14332304896 is 69840323341.

It is a congruent number.

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, 1439391 + ... + 1449313.

Almost surely, 214332304896 is an apocalyptic number.

14332304896 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 14332304896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18192835584).

14332304896 is an abundant number, since it is smaller than the sum of its proper divisors (22053366272).

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

14332304896 is an equidigital number, since it uses as much as digits as its factorization.

14332304896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9992 (or 9976 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 43.

The spelling of 14332304896 in words is "fourteen billion, three hundred thirty-two million, three hundred four thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 31 32 52 56 62 64 91 104 112 124 128 182 208 217 224 248 256 364 403 416 434 448 496 512 728 806 832 868 896 992 1456 1612 1664 1736 1792 1984 2821 2912 3224 3328 3472 3584 3968 5642 5824 6448 6656 6944 7936 9923 11284 11648 12896 13888 15872 19846 22568 23296 25792 27776 39692 45136 46592 51584 55552 69461 79384 90272 103168 111104 128999 138922 158768 180544 206336 257998 277844 307613 317536 361088 515996 555688 615226 635072 722176 902993 1031992 1111376 1230452 1270144 1444352 1805986 2063984 2153291 2222752 2460904 2540288 3611972 3998969 4127968 4306582 4445504 4921808 5080576 7223944 7997938 8255936 8613164 8891008 9843616 14447888 15995876 16511872 17226328 17782016 19687232 27992783 28895776 31991752 33023744 34452656 35564032 39374464 55985566 57791552 63983504 66047488 68905312 78748928 111971132 115583104 127967008 137810624 157497856 223942264 231166208 255934016 275621248 447884528 462332416 511868032 551242496 895769056 1023736064 1102484992 1791538112 2047472128 3583076224 7166152448 14332304896