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144311224201011 = 3371315828637029
BaseRepresentation
bin100000110100000000010011…
…010000010110111100110011
3200220222000111100011202111000
4200310000103100112330303
5122403343341343413021
61230531354451453043
742253066444251630
oct4064002320267463
9626860440152430
10144311224201011
1141a8905696a49a
1214228594bb7183
13626a64a840c9a
14278c9b4321187
1511a3ced22eb26
hex834013416f33

144311224201011 has 32 divisors (see below), whose sum is σ = 246201628147200. Its totient is φ = 81834063873120.

The previous prime is 144311224200953. The next prime is 144311224201021. The reversal of 144311224201011 is 110102422113441.

144311224201011 is a `hidden beast` number, since 1 + 4 + 4 + 311 + 2 + 242 + 0 + 101 + 1 = 666.

It is not a de Polignac number, because 144311224201011 - 27 = 144311224200883 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (144311224201021) 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, 2914293756 + ... + 2914343273.

It is an arithmetic number, because the mean of its divisors is an integer number (7693800879600).

Almost surely, 2144311224201011 is an apocalyptic number.

144311224201011 is a deficient number, since it is larger than the sum of its proper divisors (101890403946189).

144311224201011 is a wasteful number, since it uses less digits than its factorization.

144311224201011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5828637176 (or 5828637170 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 144311224201011 its reverse (110102422113441), we get a palindrome (254413646314452).

The spelling of 144311224201011 in words is "one hundred forty-four trillion, three hundred eleven billion, two hundred twenty-four million, two hundred one thousand, eleven".

Divisors: 1 3 7 9 21 27 63 131 189 393 917 1179 2751 3537 8253 24759 5828637029 17485911087 40800459203 52457733261 122401377609 157373199783 367204132827 763551450799 1101612398481 2290654352397 5344860155593 6871963057191 16034580466779 20615889171573 48103741400337 144311224201011