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141811714836 = 22321123148310499
BaseRepresentation
bin1000010000010010100…
…0110000101100010100
3111120001002202112021200
42010010220300230110
54310412244333321
6145051501112500
713150140454521
oct2040450605424
9446032675250
10141811714836
115516201a330
1223598558730
13104b00242cc
146c140b4148
153a4ece0d26
hex2104a30b14

141811714836 has 144 divisors (see below), whose sum is σ = 408373056000. Its totient is φ = 41073215040.

The previous prime is 141811714829. The next prime is 141811714867. The reversal of 141811714836 is 638417118141.

It is a super-2 number, since 2×1418117148362 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 141811714791 and 141811714800.

It is a congruent number.

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, 13501915 + ... + 13512413.

It is an arithmetic number, because the mean of its divisors is an integer number (2835924000).

Almost surely, 2141811714836 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141811714836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204186528000).

141811714836 is an abundant number, since it is smaller than the sum of its proper divisors (266561341164).

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

141811714836 is a wasteful number, since it uses less digits than its factorization.

141811714836 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12026 (or 12021 counting only the distinct ones).

The product of its digits is 129024, while the sum is 45.

The spelling of 141811714836 in words is "one hundred forty-one billion, eight hundred eleven million, seven hundred fourteen thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 33 36 44 46 66 69 92 99 132 138 198 207 253 276 396 414 506 759 828 1012 1483 1518 2277 2966 3036 4449 4554 5932 8898 9108 10499 13347 16313 17796 20998 26694 31497 32626 34109 41996 48939 53388 62994 65252 68218 94491 97878 102327 115489 125988 136436 146817 188982 195756 204654 230978 241477 293634 306981 346467 375199 377964 409308 461956 482954 587268 613962 692934 724431 750398 965908 1039401 1125597 1227924 1385868 1448862 1500796 2078802 2173293 2251194 2656247 2897724 3376791 4157604 4346586 4502388 5312494 6753582 7968741 8693172 10624988 13507164 15570017 15937482 23906223 31140034 31874964 46710051 47812446 62280068 93420102 95624892 140130153 171270187 186840204 280260306 342540374 358110391 513810561 560520612 685080748 716220782 1027621122 1074331173 1432441564 1541431683 2055242244 2148662346 3082863366 3222993519 3939214301 4297324692 6165726732 6445987038 7878428602 11817642903 12891974076 15756857204 23635285806 35452928709 47270571612 70905857418 141811714836