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141460282116 = 22343717368209
BaseRepresentation
bin1000001110111110110…
…0001001101100000100
3111112010121110220020000
42003233230021230010
54304202313011431
6144552544441300
713135342362366
oct2035754115404
9445117426200
10141460282116
1154aa170676a
12234ba919230
1310455288c5a
146bbd552d36
153a2e0229e6
hex20efb09b04

141460282116 has 120 divisors (see below), whose sum is σ = 382000828440. Its totient is φ = 45613145088.

The previous prime is 141460282109. The next prime is 141460282147. The reversal of 141460282116 is 611282064141.

141460282116 is a `hidden beast` number, since 1 + 4 + 1 + 460 + 2 + 82 + 116 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 79507080900 + 61953201216 = 281970^2 + 248904^2 .

It is a super-2 number, since 2×1414602821162 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 2039820 + ... + 2108028.

It is an arithmetic number, because the mean of its divisors is an integer number (3183340237).

Almost surely, 2141460282116 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 141460282116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191000414220).

141460282116 is an abundant number, since it is smaller than the sum of its proper divisors (240540546324).

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

141460282116 is a wasteful number, since it uses less digits than its factorization.

141460282116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68435 (or 68424 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 141460282116 in words is "one hundred forty-one billion, four hundred sixty million, two hundred eighty-two thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 81 108 111 148 162 173 222 324 333 346 444 519 666 692 999 1038 1332 1557 1998 2076 2997 3114 3996 4671 5994 6228 6401 9342 11988 12802 14013 18684 19203 25604 28026 38406 56052 57609 68209 76812 115218 136418 172827 204627 230436 272836 345654 409254 518481 613881 691308 818508 1036962 1227762 1841643 2073924 2455524 2523733 3683286 5047466 5524929 7366572 7571199 10094932 11049858 11800157 15142398 22099716 22713597 23600314 30284796 35400471 45427194 47200628 68140791 70800942 90854388 106201413 136281582 141601884 204422373 212402826 272563164 318604239 408844746 424805652 436605809 637208478 817689492 873211618 955812717 1274416956 1309817427 1746423236 1911625434 2619634854 3823250868 3929452281 5239269708 7858904562 11788356843 15717809124 23576713686 35365070529 47153427372 70730141058 141460282116