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141444132 = 223192103317
BaseRepresentation
bin10000110111001…
…00010000100100
3100212011002212120
420123210100210
5242202203012
622011345540
73335153364
oct1033442044
9325132776
10141444132
1172929085
123b4522b0
13233c476b
1414adc9a4
15c63e58c
hex86e4424

141444132 has 72 divisors (see below), whose sum is σ = 352812096. Its totient is φ = 44093376.

The previous prime is 141444109. The next prime is 141444161. The reversal of 141444132 is 231444141.

141444132 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 446038 + ... + 446354.

It is an arithmetic number, because the mean of its divisors is an integer number (4900168).

Almost surely, 2141444132 is an apocalyptic number.

141444132 is a gapful number since it is divisible by the number (12) 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 141444132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176406048).

141444132 is an abundant number, since it is smaller than the sum of its proper divisors (211367964).

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

141444132 is a wasteful number, since it uses less digits than its factorization.

141444132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 444 counting only the distinct ones).

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

The square root of 141444132 is about 11893.0287143351. The cubic root of 141444132 is about 521.0286983331.

Adding to 141444132 its reverse (231444141), we get a palindrome (372888273).

Subtracting 141444132 from its reverse (231444141), we obtain a palindrome (90000009).

The spelling of 141444132 in words is "one hundred forty-one million, four hundred forty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 19 38 57 76 103 114 206 228 309 317 361 412 618 634 722 951 1083 1236 1268 1444 1902 1957 2166 3804 3914 4332 5871 6023 7828 11742 12046 18069 23484 24092 32651 36138 37183 65302 72276 74366 97953 111549 114437 130604 148732 195906 223098 228874 343311 391812 446196 457748 620369 686622 1240738 1373244 1861107 2481476 3722214 7444428 11787011 23574022 35361033 47148044 70722066 141444132