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1141141144 = 2311134991999
BaseRepresentation
bin100010000000100…
…0110111010011000
32221112020222100211
41010001012322120
54314113004034
6305122340504
740164353053
oct10401067230
92845228324
101141141144
11536165260
1227a1ba734
13152556a60
14ab7aba9a
156a2b0d64
hex44046e98

1141141144 has 64 divisors (see below), whose sum is σ = 2520000000. Its totient is φ = 477601920.

The previous prime is 1141141139. The next prime is 1141141171. The reversal of 1141141144 is 4411411411.

It is a happy number.

It is a super-2 number, since 2×11411411442 = 2604406221059257472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 569857 + ... + 571855.

It is an arithmetic number, because the mean of its divisors is an integer number (39375000).

Almost surely, 21141141144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1141141144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1260000000).

1141141144 is an abundant number, since it is smaller than the sum of its proper divisors (1378858856).

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

1141141144 is a wasteful number, since it uses less digits than its factorization.

1141141144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2528 (or 2524 counting only the distinct ones).

The product of its digits is 256, while the sum is 22.

The square root of 1141141144 is about 33780.7806896170. The cubic root of 1141141144 is about 1044.9923746611.

Adding to 1141141144 its reverse (4411411411), we get a palindrome (5552552555).

The spelling of 1141141144 in words is "one billion, one hundred forty-one million, one hundred forty-one thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 143 286 499 572 998 1144 1996 1999 3992 3998 5489 6487 7996 10978 12974 15992 21956 21989 25948 25987 43912 43978 51896 51974 71357 87956 103948 142714 175912 207896 285428 285857 570856 571714 997501 1143428 1995002 2286856 3990004 7980008 10972511 12967513 21945022 25935026 43890044 51870052 87780088 103740104 142642643 285285286 570570572 1141141144