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11053242144 = 253276318689
BaseRepresentation
bin10100100101101001…
…10001011100100000
31001112022121212201200
422102310301130200
5140114112222034
65024445201200
7540624002520
oct122264613440
931468555650
1011053242144
1147622a346a
122185860200
131071c79689
1476bdad680
1544a5a9a99
hex292d31720

11053242144 has 144 divisors (see below), whose sum is σ = 35984108160. Its totient is φ = 3152701440.

The previous prime is 11053242143. The next prime is 11053242163. The reversal of 11053242144 is 44124235011.

11053242144 is a `hidden beast` number, since 110 + 532 + 4 + 2 + 14 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (11053242143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1267752 + ... + 1276440.

It is an arithmetic number, because the mean of its divisors is an integer number (249889640).

Almost surely, 211053242144 is an apocalyptic number.

11053242144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11053242144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17992054080).

11053242144 is an abundant number, since it is smaller than the sum of its proper divisors (24930866016).

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

11053242144 is a wasteful number, since it uses less digits than its factorization.

11053242144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9343 (or 9332 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 11053242144 its reverse (44124235011), we get a palindrome (55177477155).

The spelling of 11053242144 in words is "eleven billion, fifty-three million, two hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 631 672 1008 1262 1893 2016 2524 3786 4417 5048 5679 7572 8689 8834 10096 11358 13251 15144 17378 17668 20192 22716 26067 26502 30288 34756 35336 39753 45432 52134 53004 60576 60823 69512 70672 78201 79506 90864 104268 106008 121646 139024 141344 156402 159012 181728 182469 208536 212016 243292 278048 312804 318024 364938 417072 424032 486584 547407 625608 636048 729876 834144 973168 1094814 1251216 1272096 1459752 1946336 2189628 2502432 2919504 4379256 5482759 5839008 8758512 10965518 16448277 17517024 21931036 32896554 38379313 43862072 49344831 65793108 76758626 87724144 98689662 115137939 131586216 153517252 175448288 197379324 230275878 263172432 307034504 345413817 394758648 460551756 526344864 614069008 690827634 789517296 921103512 1228138016 1381655268 1579034592 1842207024 2763310536 3684414048 5526621072 11053242144