Search a number
-
+
11304211040 = 255712414129
BaseRepresentation
bin10101000011100100…
…01001001001100000
31002011210212102022222
422201302021021200
5141122334223130
65105412250212
7550062131333
oct124162111140
932153772288
1011304211040
114880a29081
122235910968
1310b1c6b095
1479345c61a
15462630ce5
hex2a1c89260

11304211040 has 96 divisors (see below), whose sum is σ = 27201303360. Its totient is φ = 4438425600.

The previous prime is 11304211031. The next prime is 11304211057. The reversal of 11304211040 is 4011240311.

It is a happy number.

It is a super-3 number, since 3×113042110403 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2735696 + ... + 2739824.

It is an arithmetic number, because the mean of its divisors is an integer number (283346910).

Almost surely, 211304211040 is an apocalyptic number.

11304211040 is a gapful number since it is divisible by the number (10) 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 11304211040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13600651680).

11304211040 is an abundant number, since it is smaller than the sum of its proper divisors (15897092320).

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

11304211040 is a wasteful number, since it uses less digits than its factorization.

11304211040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4456 (or 4448 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 11304211040 its reverse (4011240311), we get a palindrome (15315451351).

The spelling of 11304211040 in words is "eleven billion, three hundred four million, two hundred eleven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 71 80 142 160 241 284 355 482 568 710 964 1136 1205 1420 1928 2272 2410 2840 3856 4129 4820 5680 7712 8258 9640 11360 16516 17111 19280 20645 33032 34222 38560 41290 66064 68444 82580 85555 132128 136888 165160 171110 273776 293159 330320 342220 547552 586318 660640 684440 995089 1172636 1368880 1465795 1990178 2345272 2737760 2931590 3980356 4690544 4975445 5863180 7960712 9381088 9950890 11726360 15921424 19901780 23452720 31842848 39803560 46905440 70651319 79607120 141302638 159214240 282605276 353256595 565210552 706513190 1130421104 1413026380 2260842208 2826052760 5652105520 11304211040