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12354441404041 = 1122931033113453
BaseRepresentation
bin1011001111000111111000…
…0101110101111010001001
31121202001222021010000010101
42303301332011311322021
53104403343444412131
642135315123245401
72413402401152422
oct263617605657211
947661867100111
1012354441404041
113a33542102800
121476459519861
136b8032489b29
14309d5b266649
15166579d3ac61
hexb3c7e175e89

12354441404041 has 24 divisors (see below), whose sum is σ = 14048516429640. Its totient is φ = 10843578789120.

The previous prime is 12354441404023. The next prime is 12354441404051. The reversal of 12354441404041 is 14040414445321.

It can be written as a sum of positive squares in 4 ways, for example, as 1871766015625 + 10482675388416 = 1368125^2 + 3237696^2 .

It is not a de Polignac number, because 12354441404041 - 235 = 12320081665673 is a prime.

It is a super-2 number, since 2×123544414040412 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12354441404051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108838071 + ... + 108951523.

It is an arithmetic number, because the mean of its divisors is an integer number (585354851235).

Almost surely, 212354441404041 is an apocalyptic number.

12354441404041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12354441404041 is a deficient number, since it is larger than the sum of its proper divisors (1694075025599).

12354441404041 is a wasteful number, since it uses less digits than its factorization.

12354441404041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144537 (or 144526 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 37.

Adding to 12354441404041 its reverse (14040414445321), we get a palindrome (26394855849362).

The spelling of 12354441404041 in words is "twelve trillion, three hundred fifty-four billion, four hundred forty-one million, four hundred four thousand, forty-one".

Divisors: 1 11 29 121 319 3509 31033 113453 341363 899957 1247983 3290137 3754993 9899527 13727813 36191507 108894797 398106577 3520786949 38728656439 102102821521 426015220829 1123131036731 12354441404041