Search a number
-
+
1432433505344 = 26179771347569
BaseRepresentation
bin10100110110000011101…
…100001011010001000000
312001221100202100120121112
4110312003230023101000
5141432110434132334
63014014553142452
7205330015620452
oct24660354132100
95057322316545
101432433505344
11502545408966
121b17470baa28
13a51021b925a
144d489d162d2
15273da72c4ce
hex14d83b0b440

1432433505344 has 56 divisors (see below), whose sum is σ = 3012773029560. Its totient is φ = 673395900416.

The previous prime is 1432433505311. The next prime is 1432433505367. The reversal of 1432433505344 is 4435053342341.

It can be written as a sum of positive squares in 4 ways, for example, as 408208543744 + 1024224961600 = 638912^2 + 1012040^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 389192 + ... + 1736760.

It is an arithmetic number, because the mean of its divisors is an integer number (53799518385).

Almost surely, 21432433505344 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 1432433505344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1506386514780).

1432433505344 is an abundant number, since it is smaller than the sum of its proper divisors (1580339524216).

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

1432433505344 is a wasteful number, since it uses less digits than its factorization.

1432433505344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1348575 (or 1348565 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 41.

Adding to 1432433505344 its reverse (4435053342341), we get a palindrome (5867486847685).

The spelling of 1432433505344 in words is "one trillion, four hundred thirty-two billion, four hundred thirty-three million, five hundred five thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 544 977 1088 1954 3908 7816 15632 16609 31264 33218 62528 66436 132872 265744 531488 1062976 1347569 2695138 5390276 10780552 21561104 22908673 43122208 45817346 86244416 91634692 183269384 366538768 733077536 1316574913 1466155072 2633149826 5266299652 10532599304 21065198608 22381773521 42130397216 44763547042 84260794432 89527094084 179054188168 358108376336 716216752672 1432433505344