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1143111440 = 245194716001
BaseRepresentation
bin100010000100010…
…0111111100010000
32221122222002002202
41010020213330100
54320114031230
6305232502332
740220200262
oct10410477420
92848862082
101143111440
115372905a9
1227a9aa9a8
13152a96803
14abb61b32
156a54ea45
hex44227f10

1143111440 has 80 divisors (see below), whose sum is σ = 2857317120. Its totient is φ = 423936000.

The previous prime is 1143111439. The next prime is 1143111457. The reversal of 1143111440 is 441113411.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 63440 + ... + 79440.

It is an arithmetic number, because the mean of its divisors is an integer number (35716464).

Almost surely, 21143111440 is an apocalyptic number.

1143111440 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 1143111440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1428658560).

1143111440 is an abundant number, since it is smaller than the sum of its proper divisors (1714205680).

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

1143111440 is a wasteful number, since it uses less digits than its factorization.

1143111440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16080 (or 16074 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 1143111440 is about 33809.9310854074. The cubic root of 1143111440 is about 1045.5934573141.

Adding to 1143111440 its reverse (441113411), we get a palindrome (1584224851).

The spelling of 1143111440 in words is "one billion, one hundred forty-three million, one hundred eleven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 47 76 80 94 95 152 188 190 235 304 376 380 470 752 760 893 940 1520 1786 1880 3572 3760 4465 7144 8930 14288 16001 17860 32002 35720 64004 71440 80005 128008 160010 256016 304019 320020 608038 640040 752047 1216076 1280080 1504094 1520095 2432152 3008188 3040190 3760235 4864304 6016376 6080380 7520470 12032752 12160760 14288893 15040940 24321520 28577786 30081880 57155572 60163760 71444465 114311144 142888930 228622288 285777860 571555720 1143111440