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1141371168 = 25371698469
BaseRepresentation
bin100010000000111…
…1111000100100000
32221112200122220020
41010001333010200
54314142334133
6305131313440
740166331510
oct10401770440
92845618806
101141371168
11536302063
1227a2ab880
13152607672
14ab82b840
156a3090b3
hex4407f120

1141371168 has 48 divisors (see below), whose sum is σ = 3424115520. Its totient is φ = 326105856.

The previous prime is 1141371163. The next prime is 1141371169. The reversal of 1141371168 is 8611731411.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1141371163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 848563 + ... + 849906.

It is an arithmetic number, because the mean of its divisors is an integer number (71335740).

Almost surely, 21141371168 is an apocalyptic number.

It is an amenable number.

1141371168 is an abundant number, since it is smaller than the sum of its proper divisors (2282744352).

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

1141371168 is a wasteful number, since it uses less digits than its factorization.

1141371168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1698489 (or 1698481 counting only the distinct ones).

The product of its digits is 4032, while the sum is 33.

The square root of 1141371168 is about 33784.1851759074. The cubic root of 1141371168 is about 1045.0625842573.

The spelling of 1141371168 in words is "one billion, one hundred forty-one million, three hundred seventy-one thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 1698469 3396938 5095407 6793876 10190814 11889283 13587752 20381628 23778566 27175504 35667849 40763256 47557132 54351008 71335698 81526512 95114264 142671396 163053024 190228528 285342792 380457056 570685584 1141371168