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11300044134000 = 243536412938129
BaseRepresentation
bin1010010001101111111100…
…0111011101011001110000
31111000021101111121221112010
42210123333013131121300
52440114442244242000
640011100230402520
72244254425222356
oct244337707353160
944007344557463
1011300044134000
11366735a35a796
121326035b00440
1363c78843604b
142b0cd44c57d6
15148e17b84d50
hexa46ff1dd670

11300044134000 has 160 divisors (see below), whose sum is σ = 36488189874240. Its totient is φ = 3008643072000.

The previous prime is 11300044133977. The next prime is 11300044134019. The reversal of 11300044134000 is 43144000311.

It is a congruent number.

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, 2376936 + ... + 5315064.

It is an arithmetic number, because the mean of its divisors is an integer number (228051186714).

Almost surely, 211300044134000 is an apocalyptic number.

11300044134000 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 11300044134000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18244094937120).

11300044134000 is an abundant number, since it is smaller than the sum of its proper divisors (25188145740240).

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

11300044134000 is a wasteful number, since it uses less digits than its factorization.

11300044134000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2938796 (or 2938780 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 11300044134000 its reverse (43144000311), we get a palindrome (11343188134311).

The spelling of 11300044134000 in words is "eleven trillion, three hundred billion, forty-four million, one hundred thirty-four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 641 750 1000 1200 1282 1500 1923 2000 2564 3000 3205 3846 5128 6000 6410 7692 9615 10256 12820 15384 16025 19230 25640 30768 32050 38460 48075 51280 64100 76920 80125 96150 128200 153840 160250 192300 240375 256400 320500 384600 480750 641000 769200 961500 1282000 1923000 2938129 3846000 5876258 8814387 11752516 14690645 17628774 23505032 29381290 35257548 44071935 47010064 58762580 70515096 73453225 88143870 117525160 141030192 146906450 176287740 220359675 235050320 293812900 352575480 367266125 440719350 587625800 705150960 734532250 881438700 1101798375 1175251600 1469064500 1762877400 1883340689 2203596750 2938129000 3525754800 3766681378 4407193500 5650022067 5876258000 7533362756 8814387000 9416703445 11300044134 15066725512 17628774000 18833406890 22600088268 28250110335 30133451024 37666813780 45200176536 47083517225 56500220670 75333627560 90400353072 94167034450 113000441340 141250551675 150667255120 188334068900 226000882680 235417586125 282501103350 376668137800 452001765360 470835172250 565002206700 706252758375 753336275600 941670344500 1130004413400 1412505516750 1883340689000 2260008826800 2825011033500 3766681378000 5650022067000 11300044134000