Search a number
-
+
141068466 = 23471143263
BaseRepresentation
bin10000110100010…
…00100010110010
3100211110000120000
420122020202302
5242103142331
621555330430
73332030220
oct1032104262
9324400500
10141068466
11726a1910
123b2b0a16
13232c2786
1414a41b10
15c5b80e6
hex86888b2

141068466 has 160 divisors (see below), whose sum is σ = 404794368. Its totient is φ = 35652960.

The previous prime is 141068461. The next prime is 141068497. The reversal of 141068466 is 664860141.

It is a self number, because there is not a number n which added to its sum of digits gives 141068466.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141068461) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 536251 + ... + 536513.

Almost surely, 2141068466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141068466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202397184).

141068466 is an abundant number, since it is smaller than the sum of its proper divisors (263725902).

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

141068466 is a wasteful number, since it uses less digits than its factorization.

141068466 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 141068466 is about 11877.2246758239. The cubic root of 141068466 is about 520.5670170915.

The spelling of 141068466 in words is "one hundred forty-one million, sixty-eight thousand, four hundred sixty-six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 43 54 63 66 77 81 86 99 126 129 154 162 189 198 231 258 263 297 301 378 387 462 473 526 567 594 602 693 774 789 891 903 946 1134 1161 1386 1419 1578 1782 1806 1841 2079 2322 2367 2709 2838 2893 3311 3483 3682 4158 4257 4734 5418 5523 5786 6237 6622 6966 7101 8127 8514 8679 9933 11046 11309 12474 12771 14202 16254 16569 17358 19866 20251 21303 22618 24381 25542 26037 29799 33138 33927 38313 40502 42606 48762 49707 52074 59598 60753 67854 76626 78111 79163 89397 99414 101781 121506 124399 149121 156222 158326 178794 182259 203562 234333 237489 248798 268191 298242 305343 364518 373197 468666 474978 536382 546777 610686 712467 746394 870793 916029 1093554 1119591 1424934 1640331 1741586 1832058 2137401 2239182 2612379 3280662 3358773 4274802 5224758 6412203 6717546 7837137 10076319 12824406 15674274 20152638 23511411 47022822 70534233 141068466