Search a number
-
+
423873915136 = 287258132
BaseRepresentation
bin1100010101100001101…
…10101010100100000000
31111112002111112220202221
412022300312222210000
523421043210241021
6522420333020424
742423663555100
oct6126066524400
91445074486687
10423873915136
11153844858181
126a196624714
1330c8178cc49
1416730b7b200
15b05c7d1241
hex62b0daa900

423873915136 has 81 divisors (see below), whose sum is σ = 984398898441. Its totient is φ = 181628998656.

The previous prime is 423873915119. The next prime is 423873915161. The reversal of 423873915136 is 631519378324.

The square root of 423873915136 is 651056.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 294458169600 + 129415745536 = 542640^2 + 359744^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 72915366 + ... + 72921178.

Almost surely, 2423873915136 is an apocalyptic number.

423873915136 is the 651056-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 423873915136

423873915136 is an abundant number, since it is smaller than the sum of its proper divisors (560524983305).

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

423873915136 is an frugal number, since it uses more digits than its factorization.

423873915136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11656 (or 5822 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 52.

The spelling of 423873915136 in words is "four hundred twenty-three billion, eight hundred seventy-three million, nine hundred fifteen thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 784 896 1568 1792 3136 5813 6272 11626 12544 23252 40691 46504 81382 93008 162764 186016 284837 325528 372032 569674 651056 744064 1139348 1302112 1488128 2278696 2604224 4557392 5208448 9114784 10416896 18229568 33790969 36459136 67581938 72918272 135163876 236536783 270327752 473073566 540655504 946147132 1081311008 1655757481 1892294264 2162622016 3311514962 3784588528 4325244032 6623029924 7569177056 8650488064 13246059848 15138354112 26492119696 30276708224 52984239392 60553416448 105968478784 211936957568 423873915136