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141123444 = 223711163937
BaseRepresentation
bin10000110100101…
…01111101110100
3100211112210222020
420122111331310
5242111422234
622000433140
73332346420
oct1032257564
9324483866
10141123444
117272a150
123b3187b0
13233117c7
1414a57b80
15c5c9549
hex8695f74

141123444 has 96 divisors (see below), whose sum is σ = 413500416. Its totient is φ = 36391680.

The previous prime is 141123427. The next prime is 141123449. The reversal of 141123444 is 444321141.

It is a super-2 number, since 2×1411234442 = 39831652892842272, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141123449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 150144 + ... + 151080.

It is an arithmetic number, because the mean of its divisors is an integer number (4307296).

Almost surely, 2141123444 is an apocalyptic number.

141123444 is a gapful number since it is divisible by the number (14) 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 141123444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206750208).

141123444 is an abundant number, since it is smaller than the sum of its proper divisors (272376972).

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

141123444 is a wasteful number, since it uses less digits than its factorization.

141123444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125 (or 1123 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 141123444 is about 11879.5388799397. The cubic root of 141123444 is about 520.6346344150.

Adding to 141123444 its reverse (444321141), we get a palindrome (585444585).

The spelling of 141123444 in words is "one hundred forty-one million, one hundred twenty-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 163 231 308 326 462 489 652 924 937 978 1141 1793 1874 1956 2282 2811 3423 3586 3748 4564 5379 5622 6559 6846 7172 10307 10758 11244 12551 13118 13692 19677 20614 21516 25102 26236 30921 37653 39354 41228 50204 61842 72149 75306 78708 123684 144298 150612 152731 216447 288596 305462 432894 458193 610924 865788 916386 1069117 1680041 1832772 2138234 3207351 3360082 4276468 5040123 6414702 6720164 10080246 11760287 12829404 20160492 23520574 35280861 47041148 70561722 141123444