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141400032 = 25310913513
BaseRepresentation
bin10000110110110…
…01011111100000
3100212001212101020
420123121133200
5242144300112
622010405440
73334610664
oct1033313740
9325055336
10141400032
11728a8a34
123b430880
13233aa677
1414aca8a4
15c63148c
hex86d97e0

141400032 has 48 divisors (see below), whose sum is σ = 374608080. Its totient is φ = 46697472.

The previous prime is 141400031. The next prime is 141400057. The reversal of 141400032 is 230004141.

141400032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 141399984 and 141400020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141400031) 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, 3708 + ... + 17220.

It is an arithmetic number, because the mean of its divisors is an integer number (7804335).

Almost surely, 2141400032 is an apocalyptic number.

141400032 is a gapful number since it is divisible by the number (12) 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 141400032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187304040).

141400032 is an abundant number, since it is smaller than the sum of its proper divisors (233208048).

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

141400032 is a wasteful number, since it uses less digits than its factorization.

141400032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13635 (or 13627 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 141400032 is about 11891.1745424916. The cubic root of 141400032 is about 520.9745432551.

Adding to 141400032 its reverse (230004141), we get a palindrome (371404173).

The spelling of 141400032 in words is "one hundred forty-one million, four hundred thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 109 218 327 436 654 872 1308 1744 2616 3488 5232 10464 13513 27026 40539 54052 81078 108104 162156 216208 324312 432416 648624 1297248 1472917 2945834 4418751 5891668 8837502 11783336 17675004 23566672 35350008 47133344 70700016 141400032