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13959422500 = 22541721392
BaseRepresentation
bin11010000000000101…
…11110001000100100
31100000212010010201011
431000002332020210
5212042103010000
610225102512004
71002633063532
oct150002761044
940025103634
1013959422500
115a13803811
122856b95604
1314160a251a
14965d53152
1556a7ba2ba
hex3400be224

13959422500 has 135 divisors (see below), whose sum is σ = 32662739109. Its totient is φ = 5217504000.

The previous prime is 13959422489. The next prime is 13959422507. The reversal of 13959422500 is 522495931.

The square root of 13959422500 is 118150.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 6817144356 + 7142278144 = 82566^2 + 84512^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13959422507) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 100427431 + ... + 100427569.

Almost surely, 213959422500 is an apocalyptic number.

13959422500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13959422500 is the 118150-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13959422500

13959422500 is an abundant number, since it is smaller than the sum of its proper divisors (18703316609).

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

13959422500 is an equidigital number, since it uses as much as digits as its factorization.

13959422500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 40.

The spelling of 13959422500 in words is "thirteen billion, nine hundred fifty-nine million, four hundred twenty-two thousand, five hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 125 139 170 250 278 289 340 425 500 556 578 625 695 850 1156 1250 1390 1445 1700 2125 2363 2500 2780 2890 3475 4250 4726 5780 6950 7225 8500 9452 10625 11815 13900 14450 17375 19321 21250 23630 28900 34750 36125 38642 40171 42500 47260 59075 69500 72250 77284 80342 86875 96605 118150 144500 160684 173750 180625 193210 200855 236300 295375 328457 347500 361250 386420 401710 483025 590750 656914 722500 803420 966050 1004275 1181500 1313828 1476875 1642285 1932100 2008550 2415125 2953750 3284570 4017100 4830250 5021375 5583769 5907500 6569140 8211425 9660500 10042750 11167538 12075625 16422850 20085500 22335076 24151250 25106875 27918845 32845700 41057125 48302500 50213750 55837690 82114250 100427500 111675380 139594225 164228500 205285625 279188450 410571250 558376900 697971125 821142500 1395942250 2791884500 3489855625 6979711250 13959422500