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234114142222011 = 379127149106149201
BaseRepresentation
bin110101001110110011110010…
…010010001011011010111011
31010200221002112002202011201210
4311032303302102023122323
5221141211230402101021
62145530315134414203
7100212121455630462
oct6516636222133273
91120832462664653
10234114142222011
1168661282a39857
1222310a80661363
13a082b3ac1c99c
1441b52836a99d9
151c0eca58d5e76
hexd4ecf248b6bb

234114142222011 has 64 divisors (see below), whose sum is σ = 321039507456000. Its totient is φ = 151714757376000.

The previous prime is 234114142221997. The next prime is 234114142222013. The reversal of 234114142222011 is 110222241411432.

It is a happy number.

It is not a de Polignac number, because 234114142222011 - 226 = 234114075113147 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 234114142222011.

It is not an unprimeable number, because it can be changed into a prime (234114142222013) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4758296211 + ... + 4758345411.

It is an arithmetic number, because the mean of its divisors is an integer number (5016242304000).

Almost surely, 2234114142222011 is an apocalyptic number.

234114142222011 is a deficient number, since it is larger than the sum of its proper divisors (86925365233989).

234114142222011 is a wasteful number, since it uses less digits than its factorization.

234114142222011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50620.

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

Adding to 234114142222011 its reverse (110222241411432), we get a palindrome (344336383633443).

The spelling of 234114142222011 in words is "two hundred thirty-four trillion, one hundred fourteen billion, one hundred forty-two million, two hundred twenty-two thousand, eleven".

Divisors: 1 3 79 127 149 237 381 447 1061 3183 10033 11771 18923 30099 35313 49201 56769 83819 134747 147603 158089 251457 404241 474267 1494917 3886879 4484751 6248527 7330949 10645013 11660637 12489031 18745581 20077303 21992847 31935039 37467093 52202261 60231909 156606783 493633633 579144971 931030523 1480900899 1586106937 1737434913 2793091569 4123978619 4758320811 6629687147 7778136889 12371935857 19889061441 23334410667 73551411317 220654233951 523745284613 614472814231 987823384903 1571235853839 1843418442693 2963470154709 78038047407337 234114142222011