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141428224 = 29739461
BaseRepresentation
bin10000110111000…
…00011000000000
3100212010022001101
420123200120000
5242201200344
622011144144
73335056120
oct1033403000
9325108041
10141428224
1172918133
123b445054
13233ba452
1414ad6c80
15c6399d4
hex86e0600

141428224 has 40 divisors (see below), whose sum is σ = 322957008. Its totient is φ = 60610560.

The previous prime is 141428207. The next prime is 141428239. The reversal of 141428224 is 422824141.

It is a Harshad number since it is a multiple of its sum of digits (28).

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

It is a junction number, because it is equal to n+sod(n) for n = 141428192 and 141428201.

It is a congruent number.

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, 16147 + ... + 23314.

Almost surely, 2141428224 is an apocalyptic number.

141428224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

141428224 is an abundant number, since it is smaller than the sum of its proper divisors (181528784).

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

141428224 is an frugal number, since it uses more digits than its factorization.

141428224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39486 (or 39470 counting only the distinct ones).

The product of its digits is 4096, while the sum is 28.

The square root of 141428224 is about 11892.3599003730. The cubic root of 141428224 is about 521.0091645069.

It can be divided in two parts, 14142 and 8224, that added together give a triangular number (22366 = T211).

The spelling of 141428224 in words is "one hundred forty-one million, four hundred twenty-eight thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1792 3584 39461 78922 157844 276227 315688 552454 631376 1104908 1262752 2209816 2525504 4419632 5051008 8839264 10102016 17678528 20204032 35357056 70714112 141428224