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141221340 = 223351320117
BaseRepresentation
bin10000110101011…
…01110111011100
3100211201210021000
420122231313130
5242123040330
622002510300
73333235011
oct1032556734
9324653230
10141221340
1172796757
123b365390
1323347230
1414a81708
15c5e8560
hex86adddc

141221340 has 96 divisors (see below), whose sum is σ = 473175360. Its totient is φ = 34760448.

The previous prime is 141221321. The next prime is 141221369. The reversal of 141221340 is 43122141.

141221340 is a `hidden beast` number, since 1 + 412 + 213 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3039 + ... + 17078.

It is an arithmetic number, because the mean of its divisors is an integer number (4928910).

Almost surely, 2141221340 is an apocalyptic number.

141221340 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 141221340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236587680).

141221340 is an abundant number, since it is smaller than the sum of its proper divisors (331954020).

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

141221340 is a wasteful number, since it uses less digits than its factorization.

141221340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20148 (or 20140 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 141221340 is about 11883.6585275747. The cubic root of 141221340 is about 520.7549930314.

Adding to 141221340 its reverse (43122141), we get a palindrome (184343481).

The spelling of 141221340 in words is "one hundred forty-one million, two hundred twenty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 90 108 117 130 135 156 180 195 234 260 270 351 390 468 540 585 702 780 1170 1404 1755 2340 3510 7020 20117 40234 60351 80468 100585 120702 181053 201170 241404 261521 301755 362106 402340 523042 543159 603510 724212 784563 905265 1046084 1086318 1207020 1307605 1569126 1810530 2172636 2353689 2615210 2715795 3138252 3621060 3922815 4707378 5230420 5431590 7061067 7845630 9414756 10863180 11768445 14122134 15691260 23536890 28244268 35305335 47073780 70610670 141221340