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1141110464 = 261310691283
BaseRepresentation
bin100010000000011…
…1111011011000000
32221112012102021112
41010000333123000
54314111013324
6305121542452
740164164444
oct10400773300
92845172245
101141110464
115361441aa
1227a1a4a28
13152545ac0
14ab7a0824
156a2a6c0e
hex4403f6c0

1141110464 has 56 divisors (see below), whose sum is σ = 2442758640. Its totient is φ = 525763584.

The previous prime is 1141110463. The next prime is 1141110491. The reversal of 1141110464 is 4640111411.

It is not an unprimeable number, because it can be changed into a prime (1141110463) 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, 888767 + ... + 890049.

It is an arithmetic number, because the mean of its divisors is an integer number (43620690).

Almost surely, 21141110464 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 1141110464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1221379320).

1141110464 is an abundant number, since it is smaller than the sum of its proper divisors (1301648176).

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

1141110464 is a wasteful number, since it uses less digits than its factorization.

1141110464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2377 (or 2367 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 1141110464 is about 33780.3265821987. The cubic root of 1141110464 is about 1044.9830095755.

Adding to 1141110464 its reverse (4640111411), we get a palindrome (5781221875).

The spelling of 1141110464 in words is "one billion, one hundred forty-one million, one hundred ten thousand, four hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 1069 1283 2138 2566 4276 5132 8552 10264 13897 16679 17104 20528 27794 33358 34208 41056 55588 66716 68416 82112 111176 133432 222352 266864 444704 533728 889408 1067456 1371527 2743054 5486108 10972216 17829851 21944432 35659702 43888864 71319404 87777728 142638808 285277616 570555232 1141110464