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1141664448 = 26343138283
BaseRepresentation
bin100010000001100…
…0110101011000000
32221120020120012110
41010003012223000
54314231230243
6305141455320
740201662531
oct10403065300
92846216173
101141664448
11536492441
1227a411540
131526aacc2
14ab8a6688
156a365e33
hex440c6ac0

1141664448 has 56 divisors (see below), whose sum is σ = 3090923968. Its totient is φ = 371702016.

The previous prime is 1141664443. The next prime is 1141664449. The reversal of 1141664448 is 8444661411.

It is a happy number.

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 (1141664441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60886 + ... + 77397.

Almost surely, 21141664448 is an apocalyptic number.

It is an amenable number.

1141664448 is an abundant number, since it is smaller than the sum of its proper divisors (1949259520).

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

1141664448 is a wasteful number, since it uses less digits than its factorization.

1141664448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138341 (or 138331 counting only the distinct ones).

The product of its digits is 73728, while the sum is 39.

The square root of 1141664448 is about 33788.5253895461. The cubic root of 1141664448 is about 1045.1520876298.

The spelling of 1141664448 in words is "one billion, one hundred forty-one million, six hundred sixty-four thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 129 172 192 258 344 516 688 1032 1376 2064 2752 4128 8256 138283 276566 414849 553132 829698 1106264 1659396 2212528 3318792 4425056 5946169 6637584 8850112 11892338 13275168 17838507 23784676 26550336 35677014 47569352 71354028 95138704 142708056 190277408 285416112 380554816 570832224 1141664448