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11002344144 = 243113172213
BaseRepresentation
bin10100011111100101…
…00111001011010000
31001101202211222210120
422033302213023100
5140013100003034
65015430230240
7536435245041
oct121762471320
931352758716
1011002344144
11473659a000
1221707b5380
13106456860c
147653208c8
15445da3c49
hex28fca72d0

11002344144 has 80 divisors (see below), whose sum is σ = 31263040704. Its totient is φ = 3334024320.

The previous prime is 11002344127. The next prime is 11002344149. The reversal of 11002344144 is 44144320011.

11002344144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×110023441442 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11002344149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22219 + ... + 149994.

Almost surely, 211002344144 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 11002344144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15631520352).

11002344144 is an abundant number, since it is smaller than the sum of its proper divisors (20260696560).

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

11002344144 is a wasteful number, since it uses less digits than its factorization.

11002344144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172257 (or 172229 counting only the distinct ones).

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

Adding to 11002344144 its reverse (44144320011), we get a palindrome (55146664155).

The spelling of 11002344144 in words is "eleven billion, two million, three hundred forty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 121 132 176 242 264 363 484 528 726 968 1331 1452 1936 2662 2904 3993 5324 5808 7986 10648 15972 21296 31944 63888 172213 344426 516639 688852 1033278 1377704 1894343 2066556 2755408 3788686 4133112 5683029 7577372 8266224 11366058 15154744 20837773 22732116 30309488 41675546 45464232 62513319 83351092 90928464 125026638 166702184 229215503 250053276 333404368 458431006 500106552 687646509 916862012 1000213104 1375293018 1833724024 2750586036 3667448048 5501172072 11002344144