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11341444240 = 2457313717657
BaseRepresentation
bin10101001000000000…
…01011010010010000
31002021101221001200101
422210000023102100
5141211402203430
65113222302144
7551023454050
oct124400132220
932241831611
1011341444240
11489aa49a15
122246287954
1310b98a6469
14798391560
15465a37dca
hex2a400b490

11341444240 has 160 divisors (see below), whose sum is σ = 31950526464. Its totient is φ = 3661148160.

The previous prime is 11341444237. The next prime is 11341444241. The reversal of 11341444240 is 4244414311.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 11341444199 and 11341444208.

It is not an unprimeable number, because it can be changed into a prime (11341444241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 633492 + ... + 651148.

Almost surely, 211341444240 is an apocalyptic number.

11341444240 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 11341444240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15975263232).

11341444240 is an abundant number, since it is smaller than the sum of its proper divisors (20609082224).

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

11341444240 is a wasteful number, since it uses less digits than its factorization.

11341444240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17745 (or 17739 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 11341444240 its reverse (4244414311), we get a palindrome (15585858551).

The spelling of 11341444240 in words is "eleven billion, three hundred forty-one million, four hundred forty-four thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 35 37 40 56 62 70 74 80 112 124 140 148 155 185 217 248 259 280 296 310 370 434 496 518 560 592 620 740 868 1036 1085 1147 1240 1295 1480 1736 2072 2170 2294 2480 2590 2960 3472 4144 4340 4588 5180 5735 8029 8680 9176 10360 11470 16058 17360 17657 18352 20720 22940 32116 35314 40145 45880 64232 70628 80290 88285 91760 123599 128464 141256 160580 176570 247198 282512 321160 353140 494396 547367 617995 642320 653309 706280 988792 1094734 1235990 1306618 1412560 1977584 2189468 2471980 2613236 2736835 3266545 3831569 4378936 4573163 4943960 5226472 5473670 6533090 7663138 8757872 9146326 9887920 10452944 10947340 13066180 15326276 18292652 19157845 20252579 21894680 22865815 26132360 30652552 36585304 38315690 40505158 43789360 45731630 52264720 61305104 73170608 76631380 81010316 91463260 101262895 141768053 153262760 162020632 182926520 202525790 283536106 306525520 324041264 365853040 405051580 567072212 708840265 810103160 1134144424 1417680530 1620206320 2268288848 2835361060 5670722120 11341444240