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11142443040 = 253567346469
BaseRepresentation
bin10100110000010010…
…00011000000100000
31001202112110202100120
422120021003000200
5140304431134130
65041353120240
7543056126451
oct123011030040
931675422316
1011142443040
1147a8689413
1221ab6b9080
1310875ab981
14779b8d128
15453329910
hex298243020

11142443040 has 96 divisors (see below), whose sum is σ = 35622659520. Its totient is φ = 2926961664.

The previous prime is 11142443003. The next prime is 11142443051. The reversal of 11142443040 is 4034424111.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11142443040.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141075 + ... + 205394.

It is an arithmetic number, because the mean of its divisors is an integer number (371069370).

Almost surely, 211142443040 is an apocalyptic number.

11142443040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11142443040 is an abundant number, since it is smaller than the sum of its proper divisors (24480216480).

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

11142443040 is a wasteful number, since it uses less digits than its factorization.

11142443040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346554 (or 346546 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 11142443040 its reverse (4034424111), we get a palindrome (15176867151).

The spelling of 11142443040 in words is "eleven billion, one hundred forty-two million, four hundred forty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 67 80 96 120 134 160 201 240 268 335 402 480 536 670 804 1005 1072 1340 1608 2010 2144 2680 3216 4020 5360 6432 8040 10720 16080 32160 346469 692938 1039407 1385876 1732345 2078814 2771752 3464690 4157628 5197035 5543504 6929380 8315256 10394070 11087008 13858760 16630512 20788140 23213423 27717520 33261024 41576280 46426846 55435040 69640269 83152560 92853692 116067115 139280538 166305120 185707384 232134230 278561076 348201345 371414768 464268460 557122152 696402690 742829536 928536920 1114244304 1392805380 1857073840 2228488608 2785610760 3714147680 5571221520 11142443040