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11440103040 = 27345220681
BaseRepresentation
bin10101010011110001…
…00001111010000000
31002112021120110010000
422221320201322000
5141412131244130
65131105040000
7553332162042
oct125170417200
932467513100
1011440103040
114940704813
122273326000
13110416a652
147a7513a92
1546e525260
hex2a9e21e80

11440103040 has 160 divisors (see below), whose sum is σ = 40854858660. Its totient is φ = 3050680320.

The previous prime is 11440103021. The next prime is 11440103071. The reversal of 11440103040 is 4030104411.

It can be written as a sum of positive squares in 2 ways, for example, as 11309046336 + 131056704 = 106344^2 + 11448^2 .

It is a tau number, because it is divible by the number of its divisors (160).

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 58501 + ... + 162180.

Almost surely, 211440103040 is an apocalyptic number.

11440103040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11440103040 is an abundant number, since it is smaller than the sum of its proper divisors (29414755620).

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

11440103040 is an equidigital number, since it uses as much as digits as its factorization.

11440103040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220712 (or 220691 counting only the distinct ones).

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

Adding to 11440103040 its reverse (4030104411), we get a palindrome (15470207451).

The spelling of 11440103040 in words is "eleven billion, four hundred forty million, one hundred three thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 128 135 144 160 162 180 192 216 240 270 288 320 324 360 384 405 432 480 540 576 640 648 720 810 864 960 1080 1152 1296 1440 1620 1728 1920 2160 2592 2880 3240 3456 4320 5184 5760 6480 8640 10368 12960 17280 25920 51840 220681 441362 662043 882724 1103405 1324086 1765448 1986129 2206810 2648172 3310215 3530896 3972258 4413620 5296344 5958387 6620430 7061792 7944516 8827240 9930645 10592688 11916774 13240860 14123584 15889032 17654480 17875161 19861290 21185376 23833548 26481720 28247168 29791935 31778064 35308960 35750322 39722580 42370752 47667096 52963440 59583870 63556128 70617920 71500644 79445160 84741504 89375805 95334192 105926880 119167740 127112256 141235840 143001288 158890320 178751610 190668384 211853760 238335480 254224512 286002576 317780640 357503220 381336768 423707520 476670960 572005152 635561280 715006440 762673536 953341920 1144010304 1271122560 1430012880 1906683840 2288020608 2860025760 3813367680 5720051520 11440103040