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11432134024000 = 26531784059809
BaseRepresentation
bin1010011001011100000001…
…0010011001101101000000
31111110220100002001121021021
42212113000102121231000
52444301002302232000
640151503323235224
72256641636605444
oct246270022315500
944426302047237
1011432134024000
113708382692138
12134775a678b14
1364c079298a81
142b7465368824
1514c59921511a
hexa65c0499b40

11432134024000 has 112 divisors (see below), whose sum is σ = 29977073202960. Its totient is φ = 4303862169600.

The previous prime is 11432134023997. The next prime is 11432134024019. The reversal of 11432134024000 is 42043123411.

It can be written as a sum of positive squares in 8 ways, for example, as 2229550676224 + 9202583347776 = 1493168^2 + 3033576^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41893905 + ... + 42165904.

Almost surely, 211432134024000 is an apocalyptic number.

11432134024000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11432134024000 is an abundant number, since it is smaller than the sum of its proper divisors (18544939178960).

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

11432134024000 is an equidigital number, since it uses as much as digits as its factorization.

11432134024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84059853 (or 84059833 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 11432134024000 its reverse (42043123411), we get a palindrome (11474177147411).

The spelling of 11432134024000 in words is "eleven trillion, four hundred thirty-two billion, one hundred thirty-four million, twenty-four thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 64 68 80 85 100 125 136 160 170 200 250 272 320 340 400 425 500 544 680 800 850 1000 1088 1360 1600 1700 2000 2125 2720 3400 4000 4250 5440 6800 8000 8500 13600 17000 27200 34000 68000 136000 84059809 168119618 336239236 420299045 672478472 840598090 1344956944 1429016753 1681196180 2101495225 2689913888 2858033506 3362392360 4202990450 5379827776 5716067012 6724784720 7145083765 8405980900 10507476125 11432134024 13449569440 14290167530 16811961800 21014952250 22864268048 26899138880 28580335060 33623923600 35725418825 42029904500 45728536096 57160670120 67247847200 71450837650 84059809000 91457072192 114321340240 134495694400 142901675300 168119618000 178627094125 228642680480 285803350600 336239236000 357254188250 457285360960 571606701200 672478472000 714508376500 1143213402400 1429016753000 2286426804800 2858033506000 5716067012000 11432134024000