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11444434110 = 234537735231
BaseRepresentation
bin10101010100010010…
…00011010010111110
31002112120201111020000
422222021003102332
5141414233342420
65131341535130
7553414041054
oct125211032276
932476644200
1011444434110
1149430a280a
1222748744a6
131105025b05
147a7d201d4
1546eacd690
hex2aa2434be

11444434110 has 160 divisors (see below), whose sum is σ = 32043572352. Its totient is φ = 2928130560.

The previous prime is 11444434069. The next prime is 11444434121. The reversal of 11444434110 is 1143444411.

11444434110 is a `hidden beast` number, since 114 + 4 + 4 + 434 + 110 = 666.

It is a super-4 number, since 4×114444341104 (a number of 41 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2185195 + ... + 2190425.

Almost surely, 211444434110 is an apocalyptic number.

11444434110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11444434110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16021786176).

11444434110 is an abundant number, since it is smaller than the sum of its proper divisors (20599138242).

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

11444434110 is a wasteful number, since it uses less digits than its factorization.

11444434110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5360 (or 5351 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 11444434110 its reverse (1143444411), we get a palindrome (12587878521).

The spelling of 11444434110 in words is "eleven billion, four hundred forty-four million, four hundred thirty-four thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 37 45 54 73 74 81 90 111 135 146 162 185 219 222 270 333 365 370 405 438 555 657 666 730 810 999 1095 1110 1314 1665 1971 1998 2190 2701 2997 3285 3330 3942 4995 5231 5402 5913 5994 6570 8103 9855 9990 10462 11826 13505 14985 15693 16206 19710 24309 26155 27010 29565 29970 31386 40515 47079 48618 52310 59130 72927 78465 81030 94158 121545 141237 145854 156930 193547 218781 235395 243090 282474 364635 381863 387094 423711 437562 470790 580641 706185 729270 763726 847422 967735 1093905 1145589 1161282 1412370 1741923 1909315 1935470 2118555 2187810 2291178 2903205 3436767 3483846 3818630 4237110 5225769 5727945 5806410 6873534 8709615 10310301 10451538 11455890 14128931 15677307 17183835 17419230 20620602 26128845 28257862 30930903 31354614 34367670 42386793 51551505 52257690 61861806 70644655 78386535 84773586 103103010 127160379 141289310 154654515 156773070 211933965 254320758 309309030 381481137 423867930 635801895 762962274 1144443411 1271603790 1907405685 2288886822 3814811370 5722217055 11444434110