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141427328 = 277222549
BaseRepresentation
bin10000110111000…
…00001010000000
3100212010020211012
420123200022000
5242201133303
622011140052
73335053400
oct1033401200
9325106735
10141427328
1172917499
123b444628
13233b9c13
1414ad6800
15c6395d8
hex86e0280

141427328 has 48 divisors (see below), whose sum is σ = 327764250. Its totient is φ = 60609024.

The previous prime is 141427271. The next prime is 141427337. The reversal of 141427328 is 823724141.

It can be written as a sum of positive squares in only one way, i.e., 77299264 + 64128064 = 8792^2 + 8008^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 141427294 and 141427303.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5003 + ... + 17546.

Almost surely, 2141427328 is an apocalyptic number.

It is an amenable number.

141427328 is an abundant number, since it is smaller than the sum of its proper divisors (186336922).

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

141427328 is an equidigital number, since it uses as much as digits as its factorization.

141427328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22577 (or 22558 counting only the distinct ones).

The product of its digits is 10752, while the sum is 32.

The square root of 141427328 is about 11892.3222290686. The cubic root of 141427328 is about 521.0080642428.

The spelling of 141427328 in words is "one hundred forty-one million, four hundred twenty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 392 448 784 896 1568 3136 6272 22549 45098 90196 157843 180392 315686 360784 631372 721568 1104901 1262744 1443136 2209802 2525488 2886272 4419604 5050976 8839208 10101952 17678416 20203904 35356832 70713664 141427328