Search a number
-
+
11330244240 = 2435721131963
BaseRepresentation
bin10101000110101010…
…11100111010010000
31002020121212001011120
422203111130322100
5141201020303430
65112142242240
7550526326020
oct124325347220
932217761146
1011330244240
11489469a217
122242586380
1310b7484643
14796ab7a80
15464a74610
hex2a355ce90

11330244240 has 160 divisors (see below), whose sum is σ = 40332942336. Its totient is φ = 2577415680.

The previous prime is 11330244239. The next prime is 11330244251. The reversal of 11330244240 is 4244203311.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11330244240.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 338499 + ... + 370461.

Almost surely, 211330244240 is an apocalyptic number.

11330244240 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 11330244240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20166471168).

11330244240 is an abundant number, since it is smaller than the sum of its proper divisors (29002698096).

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

11330244240 is a wasteful number, since it uses less digits than its factorization.

11330244240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32197 (or 32191 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 11330244240 its reverse (4244203311), we get a palindrome (15574447551).

The spelling of 11330244240 in words is "eleven billion, three hundred thirty million, two hundred forty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 211 240 280 336 420 422 560 633 840 844 1055 1266 1477 1680 1688 2110 2532 2954 3165 3376 4220 4431 5064 5908 6330 7385 8440 8862 10128 11816 12660 14770 16880 17724 22155 23632 25320 29540 31963 35448 44310 50640 59080 63926 70896 88620 95889 118160 127852 159815 177240 191778 223741 255704 319630 354480 383556 447482 479445 511408 639260 671223 767112 894964 958890 1118705 1278520 1342446 1534224 1789928 1917780 2237410 2557040 2684892 3356115 3579856 3835560 4474820 5369784 6712230 6744193 7671120 8949640 10739568 13424460 13488386 17899280 20232579 26848920 26976772 33720965 40465158 47209351 53697840 53953544 67441930 80930316 94418702 101162895 107907088 134883860 141628053 161860632 188837404 202325790 236046755 269767720 283256106 323721264 377674808 404651580 472093510 539535440 566512212 708140265 755349616 809303160 944187020 1133024424 1416280530 1618606320 1888374040 2266048848 2832561060 3776748080 5665122120 11330244240