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141443120 = 24571319429
BaseRepresentation
bin10000110111001…
…00000000110000
3100212011001111002
420123210000300
5242202134440
622011341132
73335150420
oct1033440060
9325131432
10141443120
1172928345
123b4517a8
13233c4170
1414adc480
15c63e115
hex86e4030

141443120 has 80 divisors (see below), whose sum is σ = 404765760. Its totient is φ = 44762112.

The previous prime is 141443083. The next prime is 141443129. The reversal of 141443120 is 21344141.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 141443092 and 141443101.

It is not an unprimeable number, because it can be changed into a prime (141443129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2435 + ... + 16994.

It is an arithmetic number, because the mean of its divisors is an integer number (5059572).

Almost surely, 2141443120 is an apocalyptic number.

141443120 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 141443120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202382880).

141443120 is an abundant number, since it is smaller than the sum of its proper divisors (263322640).

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

141443120 is a wasteful number, since it uses less digits than its factorization.

141443120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19462 (or 19456 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 141443120 is about 11892.9861683263. The cubic root of 141443120 is about 521.0274557169.

Adding to 141443120 its reverse (21344141), we get a palindrome (162787261).

The spelling of 141443120 in words is "one hundred forty-one million, four hundred forty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 104 112 130 140 182 208 260 280 364 455 520 560 728 910 1040 1456 1820 3640 7280 19429 38858 77716 97145 136003 155432 194290 252577 272006 310864 388580 505154 544012 680015 777160 1010308 1088024 1262885 1360030 1554320 1768039 2020616 2176048 2525770 2720060 3536078 4041232 5051540 5440120 7072156 8840195 10103080 10880240 14144312 17680390 20206160 28288624 35360780 70721560 141443120