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412132141231214 = 253101439661132661
BaseRepresentation
bin101110110110101001111110…
…1111000001110110001101110
32000001020110002112101021120212
41131231103331320032301232
5413004333111123344324
64020310520354142422
7152544364441612655
oct13555237570166156
92001213075337525
10412132141231214
1110a35529450a2a8
123a281b78281a12
13148c6b81608081
1473ab432c3219c
15329a781d7170e
hex176d4fde0ec6e

412132141231214 has 64 divisors (see below), whose sum is σ = 638516894336640. Its totient is φ = 199416634560000.

The previous prime is 412132141231171. The next prime is 412132141231219.

412132141231214 is nontrivially palindromic in base 10.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412132141231219) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3106590044 + ... + 3106722704.

It is an arithmetic number, because the mean of its divisors is an integer number (9976826474010).

Almost surely, 2412132141231214 is an apocalyptic number.

412132141231214 is a deficient number, since it is larger than the sum of its proper divisors (226384753105426).

412132141231214 is a wasteful number, since it uses less digits than its factorization.

412132141231214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133917.

The product of its digits is 9216, while the sum is 32.

The spelling of 412132141231214 in words is "four hundred twelve trillion, one hundred thirty-two billion, one hundred forty-one million, two hundred thirty-one thousand, two hundred fourteen".

Divisors: 1 2 53 101 106 202 439 661 878 1322 5353 10706 23267 35033 44339 46534 66761 70066 88678 132661 133522 265322 290179 580358 2349967 3538333 4699934 7031033 7076666 13398761 14062066 15379487 26797522 29308079 30758974 58238179 58616158 87688921 116476358 175377842 710134333 1420268666 1553328187 3086623487 3106656374 4647512813 5882056079 6173246974 8856581021 9295025626 11764112158 17713162042 38495436319 76990872638 311748972187 469398794113 623497944374 938797588226 2040258124907 3888039068219 4080516249814 7776078136438 206066070615607 412132141231214