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141522144 = 2531725101
BaseRepresentation
bin10000110111101…
…11010011100000
3100212022001212220
420123313103200
5242212202034
622013151040
73335630001
oct1033672340
9325261786
10141522144
1172981755
123b48b480
132342111a
1414b1d1a8
15c657749
hex86f74e0

141522144 has 72 divisors (see below), whose sum is σ = 394711128. Its totient is φ = 44390400.

The previous prime is 141522079. The next prime is 141522149. The reversal of 141522144 is 441225141.

141522144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141522149) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25194 + ... + 30294.

It is an arithmetic number, because the mean of its divisors is an integer number (5482099).

Almost surely, 2141522144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141522144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197355564).

141522144 is an abundant number, since it is smaller than the sum of its proper divisors (253188984).

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

141522144 is a wasteful number, since it uses less digits than its factorization.

141522144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5148 (or 5123 counting only the distinct ones).

The product of its digits is 1280, while the sum is 24.

The square root of 141522144 is about 11896.3079987028. The cubic root of 141522144 is about 521.1244699988.

Adding to 141522144 its reverse (441225141), we get a palindrome (582747285).

The spelling of 141522144 in words is "one hundred forty-one million, five hundred twenty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 289 408 544 578 816 867 1156 1632 1734 2312 3468 4624 5101 6936 9248 10202 13872 15303 20404 27744 30606 40808 61212 81616 86717 122424 163232 173434 244848 260151 346868 489696 520302 693736 1040604 1387472 1474189 2081208 2774944 2948378 4162416 4422567 5896756 8324832 8845134 11793512 17690268 23587024 35380536 47174048 70761072 141522144