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11044430342010 = 23351325112536101
BaseRepresentation
bin1010000010110111101101…
…0110001110011101111010
31110002211121100011220112000
42200231323112032131322
52421422443131421020
635253424040001430
72216635164644202
oct240557326163572
943084540156460
1011044430342010
113578a0a00052a
1212a4599460276
13621640301160
142a27a62b9402
151424570c0090
hexa0b7b58e77a

11044430342010 has 128 divisors (see below), whose sum is σ = 31843704856320. Its totient is φ = 2707797600000.

The previous prime is 11044430341951. The next prime is 11044430342021. The reversal of 11044430342010 is 1024303444011.

11044430342010 is a `hidden beast` number, since 1 + 10 + 4 + 443 + 0 + 3 + 4 + 201 + 0 = 666.

It is a super-2 number, since 2×110444303420102 (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5387041 + ... + 7149060.

It is an arithmetic number, because the mean of its divisors is an integer number (248778944190).

Almost surely, 211044430342010 is an apocalyptic number.

11044430342010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11044430342010 is an abundant number, since it is smaller than the sum of its proper divisors (20799274514310).

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

11044430342010 is a wasteful number, since it uses less digits than its factorization.

11044430342010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12536381 (or 12536375 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 11044430342010 its reverse (1024303444011), we get a palindrome (12068733786021).

The spelling of 11044430342010 in words is "eleven trillion, forty-four billion, four hundred thirty million, three hundred forty-two thousand, ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 90 117 130 135 195 234 251 270 351 390 502 585 702 753 1170 1255 1506 1755 2259 2510 3263 3510 3765 4518 6526 6777 7530 9789 11295 13554 16315 19578 22590 29367 32630 33885 48945 58734 67770 88101 97890 146835 176202 293670 440505 881010 12536101 25072202 37608303 62680505 75216606 112824909 125361010 162969313 188041515 225649818 325938626 338474727 376083030 488907939 564124545 676949454 814846565 977815878 1128249090 1466723817 1629693130 1692373635 2444539695 2933447634 3146561351 3384747270 4400171451 4889079390 6293122702 7333619085 8800342902 9439684053 14667238170 15732806755 18879368106 22000857255 28319052159 31465613510 40905297563 44001714510 47198420265 56638104318 81810595126 84957156477 94396840530 122715892689 141595260795 169914312954 204526487815 245431785378 283190521590 368147678067 409052975630 424785782385 613579463445 736295356134 849571564770 1104443034201 1227158926890 1840738390335 2208886068402 3681476780670 5522215171005 11044430342010