Search a number
-
+
1024232314304 = 2673541405227
BaseRepresentation
bin11101110011110010000…
…00001101010111000000
310121220201111210112111102
432321321000031113000
5113240111433024204
62102305325033532
7133666301011463
oct16717100152700
93556644715442
101024232314304
11365413492331
121466053b58a8
137577a754664
14378048772da
151b998d4641e
hexee7900d5c0

1024232314304 has 56 divisors (see below), whose sum is σ = 2064116347248. Its totient is φ = 504165980160.

The previous prime is 1024232314291. The next prime is 1024232314349. The reversal of 1024232314304 is 4034132324201.

It is a congruent number.

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, 2324939 + ... + 2730165.

Almost surely, 21024232314304 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 1024232314304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1032058173624).

1024232314304 is an abundant number, since it is smaller than the sum of its proper divisors (1039884032944).

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

1024232314304 is an equidigital number, since it uses as much as digits as its factorization.

1024232314304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405853 (or 405843 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 1024232314304 its reverse (4034132324201), we get a palindrome (5058364638505).

The spelling of 1024232314304 in words is "one trillion, twenty-four billion, two hundred thirty-two million, three hundred fourteen thousand, three hundred four".

Divisors: 1 2 4 8 16 32 64 73 146 292 541 584 1082 1168 2164 2336 4328 4672 8656 17312 34624 39493 78986 157972 315944 405227 631888 810454 1263776 1620908 2527552 3241816 6483632 12967264 25934528 29581571 59163142 118326284 219227807 236652568 438455614 473305136 876911228 946610272 1753822456 1893220544 3507644912 7015289824 14030579648 16003629911 32007259822 64014519644 128029039288 256058078576 512116157152 1024232314304