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11240140320 = 2532517943607
BaseRepresentation
bin10100111011111011…
…01110111000100000
31002000100022021211100
422131331232320200
5141004433442240
65055203114400
7545353421253
oct123575567040
932010267740
1011240140320
114848847872
122218372a00
1310a18c7306
14788b4109a
1545bbc6e30
hex29df6ee20

11240140320 has 144 divisors (see below), whose sum is σ = 38572148160. Its totient is φ = 2980557312.

The previous prime is 11240140309. The next prime is 11240140321. The reversal of 11240140320 is 2304104211.

11240140320 is a `hidden beast` number, since 1 + 1 + 240 + 1 + 403 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11240140293 and 11240140302.

It is not an unprimeable number, because it can be changed into a prime (11240140321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 235957 + ... + 279563.

It is an arithmetic number, because the mean of its divisors is an integer number (267862140).

Almost surely, 211240140320 is an apocalyptic number.

11240140320 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 11240140320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19286074080).

11240140320 is an abundant number, since it is smaller than the sum of its proper divisors (27332007840).

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

11240140320 is a wasteful number, since it uses less digits than its factorization.

11240140320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43807 (or 43796 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 11240140320 its reverse (2304104211), we get a palindrome (13544244531).

The spelling of 11240140320 in words is "eleven billion, two hundred forty million, one hundred forty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 179 180 240 288 358 360 480 537 716 720 895 1074 1432 1440 1611 1790 2148 2685 2864 3222 3580 4296 5370 5728 6444 7160 8055 8592 10740 12888 14320 16110 17184 21480 25776 28640 32220 42960 43607 51552 64440 85920 87214 128880 130821 174428 218035 257760 261642 348856 392463 436070 523284 654105 697712 784926 872140 1046568 1308210 1395424 1569852 1744280 1962315 2093136 2616420 3139704 3488560 3924630 4186272 5232840 6279408 6977120 7805653 7849260 10465680 12558816 15611306 15698520 20931360 23416959 31222612 31397040 39028265 46833918 62445224 62794080 70250877 78056530 93667836 117084795 124890448 140501754 156113060 187335672 234169590 249780896 281003508 312226120 351254385 374671344 468339180 562007016 624452240 702508770 749342688 936678360 1124014032 1248904480 1405017540 1873356720 2248028064 2810035080 3746713440 5620070160 11240140320