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1144040112 = 2436432281
BaseRepresentation
bin100010000110000…
…1010101010110000
32221201201021000000
41010030022222300
54320333240422
6305304430000
740231115625
oct10414125260
92851637000
101144040112
115378652a6
1227b178300
13153030417
14abd2434c
156a684cac
hex4430aab0

1144040112 has 140 divisors (see below), whose sum is σ = 3402124264. Its totient is φ = 372314880.

The previous prime is 1144040099. The next prime is 1144040123. The reversal of 1144040112 is 2110404411.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 500412 + ... + 502692.

Almost surely, 21144040112 is an apocalyptic number.

1144040112 is a gapful number since it is divisible by the number (12) 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 1144040112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1701062132).

1144040112 is an abundant number, since it is smaller than the sum of its proper divisors (2258084152).

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

1144040112 is an equidigital number, since it uses as much as digits as its factorization.

1144040112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2350 (or 2329 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1144040112 is about 33823.6620134485. The cubic root of 1144040112 is about 1045.8765298998.

Adding to 1144040112 its reverse (2110404411), we get a palindrome (3254444523).

The spelling of 1144040112 in words is "one billion, one hundred forty-four million, forty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 43 48 54 72 81 86 108 129 144 162 172 216 243 258 324 344 387 432 486 516 648 688 729 774 972 1032 1161 1296 1458 1548 1944 2064 2281 2322 2916 3096 3483 3888 4562 4644 5832 6192 6843 6966 9124 9288 10449 11664 13686 13932 18248 18576 20529 20898 27372 27864 31347 36496 41058 41796 54744 55728 61587 62694 82116 83592 98083 109488 123174 125388 164232 167184 184761 196166 246348 250776 294249 328464 369522 392332 492696 501552 554283 588498 739044 784664 882747 985392 1108566 1176996 1478088 1569328 1662849 1765494 2217132 2353992 2648241 2956176 3325698 3530988 4434264 4707984 5296482 6651396 7061976 7944723 8868528 10592964 13302792 14123952 15889446 21185928 23834169 26605584 31778892 42371856 47668338 63557784 71502507 95336676 127115568 143005014 190673352 286010028 381346704 572020056 1144040112