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11343130314444 = 22332910937331141
BaseRepresentation
bin1010010100010000011101…
…0000001100011011001100
31111011101121020212200201000
42211010013100030123030
52441321212330030234
640042543453020300
72250341225552655
oct245040720143314
944141536780630
1011343130314444
11368365a390885
12133245b484690
136438639b5386
142b30208d052c
1514a0da585899
hexa510740c6cc

11343130314444 has 96 divisors (see below), whose sum is σ = 30425062046400. Its totient is φ = 3650317816320.

The previous prime is 11343130314437. The next prime is 11343130314499. The reversal of 11343130314444 is 44441303134311.

11343130314444 is a `hidden beast` number, since 1 + 1 + 343 + 1 + 303 + 1 + 4 + 4 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11343130314399 and 11343130314408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34089114 + ... + 34420254.

It is an arithmetic number, because the mean of its divisors is an integer number (316927729650).

Almost surely, 211343130314444 is an apocalyptic number.

It is an amenable number.

11343130314444 is an abundant number, since it is smaller than the sum of its proper divisors (19081931731956).

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

11343130314444 is a wasteful number, since it uses less digits than its factorization.

11343130314444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342120 (or 342112 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 11343130314444 its reverse (44441303134311), we get a palindrome (55784433448755).

The spelling of 11343130314444 in words is "eleven trillion, three hundred forty-three billion, one hundred thirty million, three hundred fourteen thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 87 108 116 174 261 348 522 783 1044 1566 3132 10937 21874 32811 43748 65622 98433 131244 196866 295299 317173 331141 393732 590598 634346 662282 951519 993423 1181196 1268692 1324564 1903038 1986846 2854557 2980269 3806076 3973692 5709114 5960538 8563671 8940807 9603089 11418228 11921076 17127342 17881614 19206178 28809267 34254684 35763228 38412356 57618534 86427801 115237068 172855602 259283403 345711204 518566806 1037133612 3621689117 7243378234 10865067351 14486756468 21730134702 32595202053 43460269404 65190404106 97785606159 105028984393 130380808212 195571212318 210057968786 315086953179 391142424636 420115937572 630173906358 945260859537 1260347812716 1890521719074 2835782578611 3781043438148 5671565157222 11343130314444