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14336718080 = 28589317397
BaseRepresentation
bin11010101101000100…
…01111010100000000
31101000011001201221112
431112202033110000
5213330144434310
610330341342452
71015164043616
oct152642172400
941004051845
1014336718080
116097781543
122941407a28
1314762c4749
149a00c76b6
1558d996705
hex35688f500

14336718080 has 144 divisors (see below), whose sum is σ = 34924070160. Its totient is φ = 5638127616.

The previous prime is 14336718059. The next prime is 14336718131. The reversal of 14336718080 is 8081763341.

It can be written as a sum of positive squares in 8 ways, for example, as 2419065856 + 11917652224 = 49184^2 + 109168^2 .

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, 36112442 + ... + 36112838.

It is an arithmetic number, because the mean of its divisors is an integer number (242528265).

Almost surely, 214336718080 is an apocalyptic number.

14336718080 is a gapful number since it is divisible by the number (10) 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 14336718080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17462035080).

14336718080 is an abundant number, since it is smaller than the sum of its proper divisors (20587352080).

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

14336718080 is an equidigital number, since it uses as much as digits as its factorization.

14336718080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 41.

The spelling of 14336718080 in words is "fourteen billion, three hundred thirty-six million, seven hundred eighteen thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 89 128 160 178 256 317 320 356 397 445 634 640 712 794 890 1268 1280 1424 1585 1588 1780 1985 2536 2848 3170 3176 3560 3970 5072 5696 6340 6352 7120 7940 10144 11392 12680 12704 14240 15880 20288 22784 25360 25408 28213 28480 31760 35333 40576 50720 50816 56426 56960 63520 70666 81152 101440 101632 112852 113920 125849 127040 141065 141332 176665 202880 225704 251698 254080 282130 282664 353330 405760 451408 503396 508160 564260 565328 629245 706660 902816 1006792 1128520 1130656 1258490 1413320 1805632 2013584 2257040 2261312 2516980 2826640 3611264 4027168 4514080 4522624 5033960 5653280 7222528 8054336 9028160 9045248 10067920 11200561 11306560 16108672 18056320 20135840 22401122 22613120 32217344 36112640 40271680 44802244 45226240 56002805 80543360 89604488 112005610 161086720 179208976 224011220 358417952 448022440 716835904 896044880 1433671808 1792089760 2867343616 3584179520 7168359040 14336718080