Search a number
-
+
1140334404430 = 2513596110323663
BaseRepresentation
bin10000100110000001001…
…110100010001101001110
311001000101212100210212111
4100212001032202031032
5122140401101420210
62231510135454234
7145246356336244
oct20460116421516
94030355323774
101140334404430
113aa682052031
1216500782737a
13836c1213280
143d29a242794
151e9e19e088a
hex109813a234e

1140334404430 has 128 divisors (see below), whose sum is σ = 2307092336640. Its totient is φ = 403155048960.

The previous prime is 1140334404421. The next prime is 1140334404431. The reversal of 1140334404430 is 344044330411.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1140334404392 and 1140334404401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1140334404431) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48178779 + ... + 48202441.

It is an arithmetic number, because the mean of its divisors is an integer number (18024158880).

Almost surely, 21140334404430 is an apocalyptic number.

1140334404430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1140334404430 is an abundant number, since it is smaller than the sum of its proper divisors (1166757932210).

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

1140334404430 is a wasteful number, since it uses less digits than its factorization.

1140334404430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23906.

The product of its (nonzero) digits is 27648, while the sum is 31.

Adding to 1140334404430 its reverse (344044330411), we get a palindrome (1484378734841).

The spelling of 1140334404430 in words is "one trillion, one hundred forty billion, three hundred thirty-four million, four hundred four thousand, four hundred thirty".

Divisors: 1 2 5 10 13 26 59 61 65 103 118 122 130 206 295 305 515 590 610 767 793 1030 1339 1534 1586 2678 3599 3835 3965 6077 6283 6695 7198 7670 7930 12154 12566 13390 17995 23663 30385 31415 35990 46787 47326 60770 62830 79001 81679 93574 118315 158002 163358 233935 236630 307619 370697 395005 408395 467870 615238 741394 790010 816790 1396117 1443443 1538095 1853485 2437289 2792234 2886886 3076190 3706970 4819061 4874578 6980585 7217215 9638122 12186445 13961170 14434430 18149521 18764759 24095305 24372890 31684757 36299042 37529518 48190610 63369514 85163137 90747605 93823795 143800051 148674629 158423785 170326274 181495210 187647590 287600102 297349258 316847570 425815685 719000255 743373145 851631370 1107120781 1438000510 1486746290 1869400663 1932770177 2214241562 3738801326 3865540354 5535603905 8771803111 9347003315 9663850885 11071207810 17543606222 18694006630 19327701770 43859015555 87718031110 114033440443 228066880886 570167202215 1140334404430