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114442240 = 214511127
BaseRepresentation
bin1101101001001…
…00000000000000
321222100021020111
412310210000000
5213244122430
615204521104
72556512563
oct664440000
9258307214
10114442240
1159666170
12323b0194
131a92c303
14112b04da
15a0a8c2a
hex6d24000

114442240 has 120 divisors (see below), whose sum is σ = 301980672. Its totient is φ = 41287680.

The previous prime is 114442213. The next prime is 114442243. The reversal of 114442240 is 42244411.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a nialpdrome in base 8.

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (114442243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 901057 + ... + 901183.

Almost surely, 2114442240 is an apocalyptic number.

114442240 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 114442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150990336).

114442240 is an abundant number, since it is smaller than the sum of its proper divisors (187538432).

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

114442240 is an equidigital number, since it uses as much as digits as its factorization.

114442240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 114442240 is about 10697.7679915018. The cubic root of 114442240 is about 485.5069485801.

Adding to 114442240 its reverse (42244411), we get a palindrome (156686651).

The spelling of 114442240 in words is "one hundred fourteen million, four hundred forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 127 128 160 176 220 254 256 320 352 440 508 512 635 640 704 880 1016 1024 1270 1280 1397 1408 1760 2032 2048 2540 2560 2794 2816 3520 4064 4096 5080 5120 5588 5632 6985 7040 8128 8192 10160 10240 11176 11264 13970 14080 16256 16384 20320 20480 22352 22528 27940 28160 32512 40640 40960 44704 45056 55880 56320 65024 81280 81920 89408 90112 111760 112640 130048 162560 178816 180224 223520 225280 260096 325120 357632 447040 450560 520192 650240 715264 894080 901120 1040384 1300480 1430528 1788160 2080768 2600960 2861056 3576320 5201920 5722112 7152640 10403840 11444224 14305280 22888448 28610560 57221120 114442240