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141284850 = 23527239563
BaseRepresentation
bin10000110101111…
…01010111110010
3100211212000101020
420122331113302
5242132103400
622004120310
73333621120
oct1032752762
9324760336
10141284850
117282a443
123b396096
132336a105
1414a9a910
15c60c2a0
hex86bd5f2

141284850 has 96 divisors (see below), whose sum is σ = 402831360. Its totient is φ = 32101440.

The previous prime is 141284821. The next prime is 141284863. The reversal of 141284850 is 58482141.

It is a super-2 number, since 2×1412848502 = 39922817679045000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 250669 + ... + 251231.

It is an arithmetic number, because the mean of its divisors is an integer number (4196160).

Almost surely, 2141284850 is an apocalyptic number.

141284850 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 141284850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201415680).

141284850 is an abundant number, since it is smaller than the sum of its proper divisors (261546510).

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

141284850 is a wasteful number, since it uses less digits than its factorization.

141284850 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 33.

The square root of 141284850 is about 11886.3303841009. The cubic root of 141284850 is about 520.8330459021.

The spelling of 141284850 in words is "one hundred forty-one million, two hundred eighty-four thousand, eight hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 105 150 175 210 239 350 478 525 563 717 1050 1126 1195 1434 1673 1689 2390 2815 3346 3378 3585 3941 5019 5630 5975 7170 7882 8365 8445 10038 11823 11950 14075 16730 16890 17925 19705 23646 25095 28150 35850 39410 41825 42225 50190 59115 83650 84450 98525 118230 125475 134557 197050 250950 269114 295575 403671 591150 672785 807342 941899 1345570 1883798 2018355 2825697 3363925 4036710 4709495 5651394 6727850 9418990 10091775 14128485 20183550 23547475 28256970 47094950 70642425 141284850