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12141044440131 = 3238313567156259
BaseRepresentation
bin1011000010101100111010…
…1001000001110001000011
31120222200011021002001001110
42300223032221001301003
53042404324334041011
641453304021534403
72362106253662535
oct260531651016103
946880137061043
1012141044440131
113960a96085302
121441023274403
136a0b8477b599
142dd8b5c05855
15160c3a6a0ba6
hexb0acea41c43

12141044440131 has 32 divisors (see below), whose sum is σ = 17096774123520. Its totient is φ = 7648224069024.

The previous prime is 12141044440081. The next prime is 12141044440201. The reversal of 12141044440131 is 13104444014121.

It is not a de Polignac number, because 12141044440131 - 213 = 12141044431939 is a prime.

It is a super-2 number, since 2×121410444401312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12141044440531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77620080 + ... + 77776338.

It is an arithmetic number, because the mean of its divisors is an integer number (534274191360).

Almost surely, 212141044440131 is an apocalyptic number.

12141044440131 is a deficient number, since it is larger than the sum of its proper divisors (4955729683389).

12141044440131 is a wasteful number, since it uses less digits than its factorization.

12141044440131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169935.

The product of its (nonzero) digits is 6144, while the sum is 30.

Adding to 12141044440131 its reverse (13104444014121), we get a palindrome (25245488454252).

The spelling of 12141044440131 in words is "twelve trillion, one hundred forty-one billion, forty-four million, four hundred forty thousand, one hundred thirty-one".

Divisors: 1 3 23 69 83 249 1909 5727 13567 40701 156259 312041 468777 936123 1126061 3378183 3593957 10781871 12969497 25899403 38908491 77698209 298298431 894895293 2119965853 6359897559 48759214619 146277643857 175957165799 527871497397 4047014813377 12141044440131