Search a number
-
+
1146144511344 = 24373411144379
BaseRepresentation
bin10000101011011011100…
…010010101010101110000
311001120101210002211012110
4100223123202111111300
5122234300443330334
62234310450325320
7145543346413410
oct20533342252560
94046353084173
101146144511344
11402093773388
12166169589840
1384108b53161
143d68bb40640
151ec31b18ae9
hex10adb895570

1146144511344 has 40 divisors (see below), whose sum is σ = 3383855224960. Its totient is φ = 327469860288.

The previous prime is 1146144511331. The next prime is 1146144511373. The reversal of 1146144511344 is 4431154416411.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1705571854 + ... + 1705572525.

It is an arithmetic number, because the mean of its divisors is an integer number (84596380624).

Almost surely, 21146144511344 is an apocalyptic number.

1146144511344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1146144511344 is an abundant number, since it is smaller than the sum of its proper divisors (2237710713616).

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

1146144511344 is a wasteful number, since it uses less digits than its factorization.

1146144511344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3411144397 (or 3411144391 counting only the distinct ones).

The product of its digits is 92160, while the sum is 39.

Adding to 1146144511344 its reverse (4431154416411), we get a palindrome (5577298927755).

The spelling of 1146144511344 in words is "one trillion, one hundred forty-six billion, one hundred forty-four million, five hundred eleven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 3411144379 6822288758 10233433137 13644577516 20466866274 23878010653 27289155032 40933732548 47756021306 54578310064 71634031959 81867465096 95512042612 143268063918 163734930192 191024085224 286536127836 382048170448 573072255672 1146144511344