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111144440 = 235114161101
BaseRepresentation
bin1101001111111…
…10110111111000
321202010201111202
412213332313320
5211423110230
615010113332
72516466161
oct647766770
9252121452
10111144440
1157813510
123127b848
131a046254
1410a92768
159b56a45
hex69fedf8

111144440 has 128 divisors (see below), whose sum is σ = 286856640. Its totient is φ = 38400000.

The previous prime is 111144413. The next prime is 111144457. The reversal of 111144440 is 44441111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 31 ways as a sum of consecutive naturals, for example, 1100390 + ... + 1100490.

Almost surely, 2111144440 is an apocalyptic number.

111144440 is a gapful number since it is divisible by the number (10) 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 111144440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143428320).

111144440 is an abundant number, since it is smaller than the sum of its proper divisors (175712200).

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

111144440 is a wasteful number, since it uses less digits than its factorization.

111144440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 111144440 is about 10542.5063433702. The cubic root of 111144440 is about 480.7979205394.

Adding to 111144440 its reverse (44441111), we get a palindrome (155585551).

The spelling of 111144440 in words is "one hundred eleven million, one hundred forty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 41 44 55 61 82 88 101 110 122 164 202 205 220 244 305 328 404 410 440 451 488 505 610 671 808 820 902 1010 1111 1220 1342 1640 1804 2020 2222 2255 2440 2501 2684 3355 3608 4040 4141 4444 4510 5002 5368 5555 6161 6710 8282 8888 9020 10004 11110 12322 12505 13420 16564 18040 20008 20705 22220 24644 25010 26840 27511 30805 33128 41410 44440 45551 49288 50020 55022 61610 67771 82820 91102 100040 110044 123220 135542 137555 165640 182204 220088 227755 246440 252601 271084 275110 338855 364408 455510 505202 542168 550220 677710 911020 1010404 1100440 1263005 1355420 1822040 2020808 2526010 2710840 2778611 5052020 5557222 10104040 11114444 13893055 22228888 27786110 55572220 111144440