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141144320 = 285110269
BaseRepresentation
bin10000110100110…
…11000100000000
3100211120212121102
420122123010000
5242113104240
622001113532
73332464322
oct1032330400
9324525542
10141144320
11727438a9
123b3288a8
132331b165
1414a61612
15c5d0815
hex869b100

141144320 has 36 divisors (see below), whose sum is σ = 338087820. Its totient is φ = 56457216.

The previous prime is 141144317. The next prime is 141144349. The reversal of 141144320 is 23441141.

It can be written as a sum of positive squares in 2 ways, for example, as 99361024 + 41783296 = 9968^2 + 6464^2 .

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 = 141144292 and 141144301.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 53855 + ... + 56414.

Almost surely, 2141144320 is an apocalyptic number.

141144320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141144320 is an abundant number, since it is smaller than the sum of its proper divisors (196943500).

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

141144320 is an equidigital number, since it uses as much as digits as its factorization.

141144320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110290 (or 110276 counting only the distinct ones).

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

The square root of 141144320 is about 11880.4175010813. The cubic root of 141144320 is about 520.6603051622.

Adding to 141144320 its reverse (23441141), we get a palindrome (164585461).

The spelling of 141144320 in words is "one hundred forty-one million, one hundred forty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 110269 220538 441076 551345 882152 1102690 1764304 2205380 3528608 4410760 7057216 8821520 14114432 17643040 28228864 35286080 70572160 141144320