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1141056312 = 2331123187921
BaseRepresentation
bin100010000000011…
…0010001100111000
32221112002122222220
41010000302030320
54314102300222
6305120444040
740163550534
oct10400621470
92845078886
101141056312
11536107550
1227a179620
13152527266
14ab788bc4
156a295b5c
hex44032338

1141056312 has 64 divisors (see below), whose sum is σ = 3247292160. Its totient is φ = 330739200.

The previous prime is 1141056311. The next prime is 1141056377. The reversal of 1141056312 is 2136501411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1141056311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87889 + ... + 100032.

It is an arithmetic number, because the mean of its divisors is an integer number (50738940).

Almost surely, 21141056312 is an apocalyptic number.

1141056312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1141056312 is an abundant number, since it is smaller than the sum of its proper divisors (2106235848).

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

1141056312 is a wasteful number, since it uses less digits than its factorization.

1141056312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187964 (or 187960 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 1141056312 is about 33779.5250410659. The cubic root of 1141056312 is about 1044.9664792404.

Adding to 1141056312 its reverse (2136501411), we get a palindrome (3277557723).

The spelling of 1141056312 in words is "one billion, one hundred forty-one million, fifty-six thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 23 24 33 44 46 66 69 88 92 132 138 184 253 264 276 506 552 759 1012 1518 2024 3036 6072 187921 375842 563763 751684 1127526 1503368 2067131 2255052 4134262 4322183 4510104 6201393 8268524 8644366 12402786 12966549 16537048 17288732 24805572 25933098 34577464 47544013 49611144 51866196 95088026 103732392 142632039 190176052 285264078 380352104 570528156 1141056312