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141428032 = 2617433023
BaseRepresentation
bin10000110111000…
…00010101000000
3100212010021210021
420123200111000
5242201144112
622011143224
73335055424
oct1033402500
9325107707
10141428032
1172917a79
123b444b14
13233ba335
1414ad6b84
15c639907
hex86e0540

141428032 has 56 divisors (see below), whose sum is σ = 304166016. Its totient is φ = 64985088.

The previous prime is 141427997. The next prime is 141428033. The reversal of 141428032 is 230824141.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 141427988 and 141428006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141428033) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45273 + ... + 48295.

It is an arithmetic number, because the mean of its divisors is an integer number (5431536).

Almost surely, 2141428032 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 141428032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152083008).

141428032 is an abundant number, since it is smaller than the sum of its proper divisors (162737984).

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

141428032 is a wasteful number, since it uses less digits than its factorization.

141428032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3095 (or 3085 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 141428032 is about 11892.3518279607. The cubic root of 141428032 is about 521.0089287364.

The spelling of 141428032 in words is "one hundred forty-one million, four hundred twenty-eight thousand, thirty-two".

Divisors: 1 2 4 8 16 17 32 34 43 64 68 86 136 172 272 344 544 688 731 1088 1376 1462 2752 2924 3023 5848 6046 11696 12092 23392 24184 46784 48368 51391 96736 102782 129989 193472 205564 259978 411128 519956 822256 1039912 1644512 2079824 2209813 3289024 4159648 4419626 8319296 8839252 17678504 35357008 70714016 141428032