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1150141408 = 2513792443
BaseRepresentation
bin100010010001101…
…1100001111100000
32222011012020101221
41010203130033200
54323414011113
6310043304424
740334016643
oct10443341740
92864166357
101150141408
11540252299
1228121b114
13154388560
14aca71a5a
156ae8c98d
hex448dc3e0

1150141408 has 72 divisors (see below), whose sum is σ = 2475354168. Its totient is φ = 522931968.

The previous prime is 1150141379. The next prime is 1150141483. The reversal of 1150141408 is 8041410511.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2596035 + ... + 2596477.

It is an arithmetic number, because the mean of its divisors is an integer number (34379919).

Almost surely, 21150141408 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 1150141408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1237677084).

1150141408 is an abundant number, since it is smaller than the sum of its proper divisors (1325212760).

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

1150141408 is an equidigital number, since it uses as much as digits as its factorization.

1150141408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 25.

The square root of 1150141408 is about 33913.7347987508. The cubic root of 1150141408 is about 1047.7324939288.

Adding to 1150141408 its reverse (8041410511), we get a palindrome (9191551919).

The spelling of 1150141408 in words is "one billion, one hundred fifty million, one hundred forty-one thousand, four hundred eight".

Divisors: 1 2 4 8 13 16 26 32 52 79 104 158 208 316 416 443 632 886 1027 1264 1772 2054 2528 3544 4108 5759 6241 7088 8216 11518 12482 14176 16432 23036 24964 32864 34997 46072 49928 69994 81133 92144 99856 139988 162266 184288 199712 279976 324532 454961 559952 649064 909922 1119904 1298128 1819844 2596256 2764763 3639688 5529526 7279376 11059052 14558752 22118104 35941919 44236208 71883838 88472416 143767676 287535352 575070704 1150141408