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141205456 = 2472233773
BaseRepresentation
bin10000110101010…
…01111111010000
3100211200222110201
420122221333100
5242122033311
622002304544
73333140500
oct1032517720
9324628421
10141205456
1172785827
123b358154
132333cc32
1414a79a00
15c5e39c1
hex86a9fd0

141205456 has 60 divisors (see below), whose sum is σ = 320031972. Its totient is φ = 60178944.

The previous prime is 141205453. The next prime is 141205499. The reversal of 141205456 is 654502141.

141205456 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 17640000 + 123565456 = 4200^2 + 11116^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141205453) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 182286 + ... + 183058.

Almost surely, 2141205456 is an apocalyptic number.

141205456 is a gapful number since it is divisible by the number (16) 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 141205456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160015986).

141205456 is an abundant number, since it is smaller than the sum of its proper divisors (178826516).

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

141205456 is a wasteful number, since it uses less digits than its factorization.

141205456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1028 (or 1015 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 141205456 is about 11882.9901960744. The cubic root of 141205456 is about 520.7354681672.

Adding to 141205456 its reverse (654502141), we get a palindrome (795707597).

The spelling of 141205456 in words is "one hundred forty-one million, two hundred five thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 233 392 466 773 784 932 1546 1631 1864 3092 3262 3728 5411 6184 6524 10822 11417 12368 13048 21644 22834 26096 37877 43288 45668 75754 86576 91336 151508 180109 182672 303016 360218 606032 720436 1260763 1440872 2521526 2881744 5043052 8825341 10086104 17650682 20172208 35301364 70602728 141205456