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13311040140 = 22325194782811
BaseRepresentation
bin11000110010110011…
…00101101010001100
31021100200001220022200
430121121211222030
5204230111241030
610040501441500
7650600655126
oct143131455214
937320056280
1013311040140
11571080a522
1226b5a10290
131341966918
14903bb4216
1552d8e1d60
hex319665a8c

13311040140 has 144 divisors (see below), whose sum is σ = 43406737920. Its totient is φ = 3291200640.

The previous prime is 13311040123. The next prime is 13311040157. The reversal of 13311040140 is 4104011331.

It is an interprime number because it is at equal distance from previous prime (13311040123) and next prime (13311040157).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 119335 + ... + 202145.

It is an arithmetic number, because the mean of its divisors is an integer number (301435680).

Almost surely, 213311040140 is an apocalyptic number.

13311040140 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 13311040140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21703368960).

13311040140 is an abundant number, since it is smaller than the sum of its proper divisors (30095697780).

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

13311040140 is a wasteful number, since it uses less digits than its factorization.

13311040140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82892 (or 82887 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13311040140 its reverse (4104011331), we get a palindrome (17415051471).

The spelling of 13311040140 in words is "thirteen billion, three hundred eleven million, forty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 47 57 60 76 90 94 95 114 141 171 180 188 190 228 235 282 285 342 380 423 470 564 570 684 705 846 855 893 940 1140 1410 1692 1710 1786 2115 2679 2820 3420 3572 4230 4465 5358 8037 8460 8930 10716 13395 16074 17860 26790 32148 40185 53580 80370 82811 160740 165622 248433 331244 414055 496866 745299 828110 993732 1242165 1490598 1573409 1656220 2484330 2981196 3146818 3726495 3892117 4720227 4968660 6293636 7452990 7784234 7867045 9440454 11676351 14160681 14905980 15568468 15734090 18880908 19460585 23352702 23601135 28321362 31468180 35029053 38921170 46705404 47202270 56642724 58381755 70058106 70803405 73950223 77842340 94404540 116763510 140116212 141606810 147900446 175145265 221850669 233527020 283213620 295800892 350290530 369751115 443701338 665552007 700581060 739502230 887402676 1109253345 1331104014 1479004460 2218506690 2662208028 3327760035 4437013380 6655520070 13311040140