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14213633631240 = 23353533061109619
BaseRepresentation
bin1100111011010101111010…
…0101010110010000001000
31212022210212120021212101010
43032311132211112100020
53330334010202144430
650121353025123520
72664621043302441
oct316653645262010
955283776255333
1014213633631240
11458aa716aa81a
1217168451895a0
137c14559b7434
14371d2d0d82c8
15199ae1236cb0
hexced5e956408

14213633631240 has 128 divisors (see below), whose sum is σ = 42776056713600. Its totient is φ = 3778295685120.

The previous prime is 14213633631227. The next prime is 14213633631259. The reversal of 14213633631240 is 4213633631241.

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, 129609151 + ... + 129718769.

It is an arithmetic number, because the mean of its divisors is an integer number (334187943075).

Almost surely, 214213633631240 is an apocalyptic number.

14213633631240 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 14213633631240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21388028356800).

14213633631240 is an abundant number, since it is smaller than the sum of its proper divisors (28562423082360).

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

14213633631240 is a wasteful number, since it uses less digits than its factorization.

14213633631240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113047 (or 113043 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 39.

Subtracting from 14213633631240 its reverse (4213633631241), we obtain a palindrome (9999999999999).

The spelling of 14213633631240 in words is "fourteen trillion, two hundred thirteen billion, six hundred thirty-three million, six hundred thirty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 353 706 1059 1412 1765 2118 2824 3061 3530 4236 5295 6122 7060 8472 9183 10590 12244 14120 15305 18366 21180 24488 30610 36732 42360 45915 61220 73464 91830 109619 122440 183660 219238 328857 367320 438476 548095 657714 876952 1080533 1096190 1315428 1644285 2161066 2192380 2630856 3241599 3288570 4322132 4384760 5402665 6483198 6577140 8644264 10805330 12966396 13154280 16207995 21610660 25932792 32415990 38695507 43221320 64831980 77391014 116086521 129663960 154782028 193477535 232173042 309564056 335543759 386955070 464346084 580432605 671087518 773910140 928692168 1006631277 1160865210 1342175036 1547820280 1677718795 2013262554 2321730420 2684350072 3355437590 4026525108 4643460840 5033156385 6710875180 8053050216 10066312770 13421750360 20132625540 40265251080 118446946927 236893893854 355340840781 473787787708 592234734635 710681681562 947575575416 1184469469270 1421363363124 1776704203905 2368938938540 2842726726248 3553408407810 4737877877080 7106816815620 14213633631240