Search a number
-
+
1155405141 = 34114353569
BaseRepresentation
bin100010011011110…
…0001010101010101
32222112002122220000
41010313201111111
54331240431031
6310352201513
740426532052
oct10467412525
92875078800
101155405141
11543217a90
12282b39299
131554ac3a7
14ad642029
156b67c3e6
hex44de1555

1155405141 has 80 divisors (see below), whose sum is σ = 1966472640. Its totient is φ = 669876480.

The previous prime is 1155405137. The next prime is 1155405149. The reversal of 1155405141 is 1415045511.

1155405141 is a `hidden beast` number, since 115 + 5 + 405 + 141 = 666.

It is not a de Polignac number, because 1155405141 - 22 = 1155405137 is a prime.

It is a super-2 number, since 2×11554051412 = 2669922079698459762, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1155405149) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2030305 + ... + 2030873.

It is an arithmetic number, because the mean of its divisors is an integer number (24580908).

Almost surely, 21155405141 is an apocalyptic number.

1155405141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1155405141 is a deficient number, since it is larger than the sum of its proper divisors (811067499).

1155405141 is a wasteful number, since it uses less digits than its factorization.

1155405141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 27.

The square root of 1155405141 is about 33991.2509478542. The cubic root of 1155405141 is about 1049.3284113543.

The spelling of 1155405141 in words is "one billion, one hundred fifty-five million, four hundred five thousand, one hundred forty-one".

Divisors: 1 3 9 11 27 33 43 53 81 99 129 159 297 387 473 477 569 583 891 1161 1419 1431 1707 1749 2279 3483 4257 4293 5121 5247 6259 6837 12771 15363 15741 18777 20511 24467 25069 30157 38313 46089 47223 56331 61533 73401 75207 90471 168993 184599 220203 225621 269137 271413 331727 506979 660609 676863 807411 814239 995181 1296751 1981827 2030589 2422233 2442717 2985543 3890253 7266699 8956629 11670759 14264261 21800097 26869887 35012277 42792783 105036831 128378349 385135047 1155405141