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141805006700 = 225274135313997
BaseRepresentation
bin1000010000010000111…
…1001010111101101100
3111120000122010201110012
42010010033022331230
54310404040203300
6145051101232352
713150026445340
oct2040417127554
9446018121405
10141805006700
1155159258415
12235962626b8
13104ab815bb6
146c13249620
153a4e418435
hex21043caf6c

141805006700 has 144 divisors (see below), whose sum is σ = 361300250304. Its totient is φ = 47295283200.

The previous prime is 141805006697. The next prime is 141805006703. The reversal of 141805006700 is 7600508141.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (141805006697) and next prime (141805006703).

It is not an unprimeable number, because it can be changed into a prime (141805006703) 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 47 ways as a sum of consecutive naturals, for example, 10124102 + ... + 10138098.

It is an arithmetic number, because the mean of its divisors is an integer number (2509029516).

Almost surely, 2141805006700 is an apocalyptic number.

141805006700 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 141805006700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180650125152).

141805006700 is an abundant number, since it is smaller than the sum of its proper divisors (219495243604).

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

141805006700 is a wasteful number, since it uses less digits than its factorization.

141805006700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14412 (or 14405 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 32.

The spelling of 141805006700 in words is "one hundred forty-one billion, eight hundred five million, six thousand, seven hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 41 50 70 82 100 140 164 175 205 287 350 353 410 574 700 706 820 1025 1148 1412 1435 1765 2050 2471 2870 3530 4100 4942 5740 7060 7175 8825 9884 12355 13997 14350 14473 17650 24710 27994 28700 28946 35300 49420 55988 57892 61775 69985 72365 97979 101311 123550 139970 144730 195958 202622 247100 279940 289460 349925 361825 391916 405244 489895 506555 573877 699850 723650 979790 1013110 1147754 1399700 1447300 1959580 2026220 2295508 2449475 2532775 2869385 4017139 4898950 4940941 5065550 5738770 8034278 9797900 9881882 10131100 11477540 14346925 16068556 19763764 20085695 24704705 28693850 34586587 40171390 49409410 57387700 69173174 80342780 98818820 100428475 123523525 138346348 172932935 200856950 202578581 247047050 345865870 401713900 405157162 494094100 691731740 810314324 864664675 1012892905 1418050067 1729329350 2025785810 2836100134 3458658700 4051571620 5064464525 5672200268 7090250335 10128929050 14180500670 20257858100 28361001340 35451251675 70902503350 141805006700