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1141134144312 = 233691635310831
BaseRepresentation
bin10000100110110000111…
…001010011001100111000
311001002110121012210202010
4100212300321103030320
5122144020320104222
62232121345005520
7145305240120351
oct20466071231470
94032417183663
101141134144312
113aaa52525488
121651ab6238a0
13837bab04936
143d334540d28
151ea3bd1580c
hex109b0e53338

1141134144312 has 64 divisors (see below), whose sum is σ = 2857677442560. Its totient is φ = 379732723200.

The previous prime is 1141134144307. The next prime is 1141134144341. The reversal of 1141134144312 is 2134414311411.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1141134144312.

It is a congruent number.

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, 105352737 + ... + 105363567.

It is an arithmetic number, because the mean of its divisors is an integer number (44651210040).

Almost surely, 21141134144312 is an apocalyptic number.

1141134144312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1141134144312 is an abundant number, since it is smaller than the sum of its proper divisors (1716543298248).

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

1141134144312 is a wasteful number, since it uses less digits than its factorization.

1141134144312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17884 (or 17880 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

Adding to 1141134144312 its reverse (2134414311411), we get a palindrome (3275548455723).

The spelling of 1141134144312 in words is "one trillion, one hundred forty-one billion, one hundred thirty-four million, one hundred forty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 691 1382 2073 2764 4146 5528 6353 8292 10831 12706 16584 19059 21662 25412 32493 38118 43324 50824 64986 76236 86648 129972 152472 259944 4389923 7484221 8779846 13169769 14968442 17559692 22452663 26339538 29936884 35119384 44905326 52679076 59873768 68809343 89810652 105358152 137618686 179621304 206428029 275237372 412856058 550474744 825712116 1651424232 47547256013 95094512026 142641768039 190189024052 285283536078 380378048104 570567072156 1141134144312