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11232222442240 = 285371901124759
BaseRepresentation
bin1010001101110011010010…
…1000001111001100000000
31110202210022220011000210111
42203130310220033030000
52433012042421122430
635520002312241104
72236333641315532
oct243346450171400
943683286130714
1011232222442240
113640616821968
121314a686a0194
1363626a3968a7
142ab8dcd01852
15147298908c2a
hexa3734a0f300

11232222442240 has 144 divisors (see below), whose sum is σ = 27646593428160. Its totient is φ = 4369124966400.

The previous prime is 11232222442211. The next prime is 11232222442261. The reversal of 11232222442240 is 4224422223211.

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, 89968981 + ... + 90093739.

It is an arithmetic number, because the mean of its divisors is an integer number (191990232140).

Almost surely, 211232222442240 is an apocalyptic number.

11232222442240 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 11232222442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13823296714080).

11232222442240 is an abundant number, since it is smaller than the sum of its proper divisors (16414370985920).

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

11232222442240 is a wasteful number, since it uses less digits than its factorization.

11232222442240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126718 (or 126704 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 31.

Adding to 11232222442240 its reverse (4224422223211), we get a palindrome (15456644665451).

The spelling of 11232222442240 in words is "eleven trillion, two hundred thirty-two billion, two hundred twenty-two million, four hundred forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 64 74 80 128 148 160 185 256 296 320 370 592 640 740 1184 1280 1480 1901 2368 2960 3802 4736 5920 7604 9472 9505 11840 15208 19010 23680 30416 38020 47360 60832 70337 76040 121664 124759 140674 152080 243328 249518 281348 304160 351685 486656 499036 562696 608320 623795 703370 998072 1125392 1216640 1247590 1406740 1996144 2250784 2433280 2495180 2813480 3992288 4501568 4616083 4990360 5626960 7984576 9003136 9232166 9980720 11253920 15969152 18006272 18464332 19961440 22507840 23080415 31938304 36928664 39922880 45015680 46160830 73857328 79845760 90031360 92321660 147714656 159691520 184643320 237166859 295429312 369286640 474333718 590858624 738573280 948667436 1181717248 1185834295 1477146560 1897334872 2371668590 2954293120 3794669744 4743337180 5908586240 7589339488 8775173783 9486674360 15178678976 17550347566 18973348720 30357357952 35100695132 37946697440 43875868915 60714715904 70201390264 75893394880 87751737830 140402780528 151786789760 175503475660 280805561056 303573579520 351006951320 561611122112 702013902640 1123222244224 1404027805280 2246444488448 2808055610560 5616111221120 11232222442240