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141981785064 = 2334731301099
BaseRepresentation
bin1000010000111011000…
…1100001101111101000
3111120110221202222210000
42010032301201233220
54311234314110224
6145120414223000
713154304155220
oct2041661415750
9446427688700
10141981785064
115523a01a639
12236254b4a60
131050932c592
146c2c905080
153a5ebd70c9
hex210ec61be8

141981785064 has 80 divisors (see below), whose sum is σ = 454491972000. Its totient is φ = 40566223008.

The previous prime is 141981785059. The next prime is 141981785069. The reversal of 141981785064 is 460587189141.

141981785064 is a `hidden beast` number, since 1 + 41 + 98 + 1 + 7 + 8 + 506 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (141981785059) and next prime (141981785069).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 141981785064.

It is not an unprimeable number, because it can be changed into a prime (141981785069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 15646014 + ... + 15655085.

It is an arithmetic number, because the mean of its divisors is an integer number (5681149650).

Almost surely, 2141981785064 is an apocalyptic number.

141981785064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

141981785064 is an abundant number, since it is smaller than the sum of its proper divisors (312510186936).

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

141981785064 is a wasteful number, since it uses less digits than its factorization.

141981785064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31301124 (or 31301111 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 141981785064 in words is "one hundred forty-one billion, nine hundred eighty-one million, seven hundred eighty-five thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 252 324 378 504 567 648 756 1134 1512 2268 4536 31301099 62602198 93903297 125204396 187806594 219107693 250408792 281709891 375613188 438215386 563419782 657323079 751226376 845129673 876430772 1126839564 1314646158 1690259346 1752861544 1971969237 2253679128 2535389019 2629292316 3380518692 3943938474 5070778038 5258584632 5915907711 6761037384 7887876948 10141556076 11831815422 15775753896 17747723133 20283112152 23663630844 35495446266 47327261688 70990892532 141981785064