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114894444 = 223719193373
BaseRepresentation
bin1101101100100…
…10011001101100
322000012020112210
412312102121230
5213403110234
615222330420
72563405140
oct666223154
9260166483
10114894444
1159944995
1232589a10
131aa5a0a2
141138b220
15a147be9
hex6d9266c

114894444 has 96 divisors (see below), whose sum is σ = 325050880. Its totient is φ = 30855168.

The previous prime is 114894427. The next prime is 114894511. The reversal of 114894444 is 444498411.

114894444 is nontrivially palindromic in base 11.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 307842 + ... + 308214.

Almost surely, 2114894444 is an apocalyptic number.

114894444 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 114894444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162525440).

114894444 is an abundant number, since it is smaller than the sum of its proper divisors (210156436).

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

114894444 is a wasteful number, since it uses less digits than its factorization.

114894444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599 (or 597 counting only the distinct ones).

The product of its digits is 73728, while the sum is 39.

The square root of 114894444 is about 10718.8825910167. The cubic root of 114894444 is about 486.1455812069.

The spelling of 114894444 in words is "one hundred fourteen million, eight hundred ninety-four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 114 133 193 228 266 373 386 399 532 579 746 772 798 1119 1158 1351 1492 1596 2238 2316 2611 2702 3667 4053 4476 5222 5404 7087 7334 7833 8106 10444 11001 14174 14668 15666 16212 21261 22002 25669 28348 31332 42522 44004 49609 51338 71989 77007 85044 99218 102676 143978 148827 154014 198436 215967 287956 297654 308028 431934 503923 595308 863868 1007846 1367791 1511769 2015692 2735582 3023538 4103373 5471164 6047076 8206746 9574537 16413492 19149074 28723611 38298148 57447222 114894444