Search a number
-
+
13963713360 = 2435433493877
BaseRepresentation
bin11010000000100110…
…10101101101010000
31100001011012010122220
431000103111231100
5212044202311420
610225334501040
71003014414402
oct150023255520
940034163586
1013963713360
115a16174583
122858504780
131416c455ac
1496674cb72
1556ad66840
hex3404d5b50

13963713360 has 160 divisors (see below), whose sum is σ = 44432572800. Its totient is φ = 3625703424.

The previous prime is 13963713359. The next prime is 13963713367. The reversal of 13963713360 is 6331736931.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13963713367) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3599742 + ... + 3603618.

It is an arithmetic number, because the mean of its divisors is an integer number (277703580).

Almost surely, 213963713360 is an apocalyptic number.

13963713360 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 13963713360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22216286400).

13963713360 is an abundant number, since it is smaller than the sum of its proper divisors (30468859440).

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

13963713360 is a wasteful number, since it uses less digits than its factorization.

13963713360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4285 (or 4279 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 42.

The spelling of 13963713360 in words is "thirteen billion, nine hundred sixty-three million, seven hundred thirteen thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 43 48 60 80 86 120 129 172 215 240 258 344 349 430 516 645 688 698 860 1032 1047 1290 1396 1720 1745 2064 2094 2580 2792 3440 3490 3877 4188 5160 5235 5584 6980 7754 8376 10320 10470 11631 13960 15007 15508 16752 19385 20940 23262 27920 30014 31016 38770 41880 45021 46524 58155 60028 62032 75035 77540 83760 90042 93048 116310 120056 150070 155080 166711 180084 186096 225105 232620 240112 300140 310160 333422 360168 450210 465240 500133 600280 666844 720336 833555 900420 930480 1000266 1200560 1333688 1353073 1667110 1800840 2000532 2500665 2667376 2706146 3334220 3601680 4001064 4059219 5001330 5412292 6668440 6765365 8002128 8118438 10002660 10824584 13336880 13530730 16236876 20005320 20296095 21649168 27061460 32473752 40010640 40592190 54122920 58182139 64947504 81184380 108245840 116364278 162368760 174546417 232728556 290910695 324737520 349092834 465457112 581821390 698185668 872732085 930914224 1163642780 1396371336 1745464170 2327285560 2792742672 3490928340 4654571120 6981856680 13963713360