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141642433180 = 225231135694789
BaseRepresentation
bin1000001111101010001…
…1000000001010011100
3111112121022020010111201
42003322203000022130
54310040430330210
6145023012525244
713143013550143
oct2037243001234
9445538203451
10141642433180
1155085508536
122354b920824
1310483c33c51
146bd980a75a
153a4000353a
hex20fa8c029c

141642433180 has 96 divisors (see below), whose sum is σ = 313744233600. Its totient is φ = 53608439808.

The previous prime is 141642433169. The next prime is 141642433181. The reversal of 141642433180 is 81334246141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141642433181) 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, 29574226 + ... + 29579014.

It is an arithmetic number, because the mean of its divisors is an integer number (3268169100).

Almost surely, 2141642433180 is an apocalyptic number.

141642433180 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 141642433180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156872116800).

141642433180 is an abundant number, since it is smaller than the sum of its proper divisors (172101800420).

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

141642433180 is a wasteful number, since it uses less digits than its factorization.

141642433180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5503 (or 5501 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The spelling of 141642433180 in words is "one hundred forty-one billion, six hundred forty-two million, four hundred thirty-three thousand, one hundred eighty".

Divisors: 1 2 4 5 10 20 23 46 92 113 115 226 230 452 460 565 569 1130 1138 2260 2276 2599 2845 4789 5198 5690 9578 10396 11380 12995 13087 19156 23945 25990 26174 47890 51980 52348 64297 65435 95780 110147 128594 130870 220294 257188 261740 321485 440588 541157 550735 642970 1082314 1101470 1285940 1478831 2164628 2202940 2705785 2724941 2957662 5411570 5449882 5915324 7394155 10823140 10899764 12446611 13624705 14788310 24893222 27249410 29576620 49786444 54498820 62233055 62673643 124466110 125347286 248932220 250694572 307918333 313368215 615836666 626736430 1231673332 1253472860 1539591665 3079183330 6158366660 7082121659 14164243318 28328486636 35410608295 70821216590 141642433180