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11042042423120 = 2451076907186761
BaseRepresentation
bin1010000010101110110100…
…0001000010011101010000
31110002121102220220001121122
42200223231001002131100
52421403100330014440
635252351054341412
72216522050655432
oct240535501023520
943077386801548
1011042042423120
1135779a409a745
1212a40317ba868
1362134c6853b7
142a261b0c2652
151423676337b5
hexa0aed042750

11042042423120 has 80 divisors (see below), whose sum is σ = 25916571286848. Its totient is φ = 4374881387520.

The previous prime is 11042042423117. The next prime is 11042042423171. The reversal of 11042042423120 is 2132424024011.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×110420424231202 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11042042423120.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 59030540 + ... + 59217300.

Almost surely, 211042042423120 is an apocalyptic number.

11042042423120 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 11042042423120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12958285643424).

11042042423120 is an abundant number, since it is smaller than the sum of its proper divisors (14874528863728).

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

11042042423120 is a wasteful number, since it uses less digits than its factorization.

11042042423120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193788 (or 193782 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 11042042423120 its reverse (2132424024011), we get a palindrome (13174466447131).

The spelling of 11042042423120 in words is "eleven trillion, forty-two billion, forty-two million, four hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 107 214 428 535 856 1070 1712 2140 4280 6907 8560 13814 27628 34535 55256 69070 110512 138140 186761 276280 373522 552560 739049 747044 933805 1478098 1494088 1867610 2956196 2988176 3695245 3735220 5912392 7390490 7470440 11824784 14780980 14940880 19983427 29561960 39966854 59123920 79933708 99917135 159867416 199834270 319734832 399668540 799337080 1289958227 1598674160 2579916454 5159832908 6449791135 10319665816 12899582270 20639331632 25799164540 51598329080 103196658160 138025530289 276051060578 552102121156 690127651445 1104204242312 1380255302890 2208408484624 2760510605780 5521021211560 11042042423120