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144322041022011 = 33571132716974157
BaseRepresentation
bin100000110100001010010111…
…111111010000011000111011
3200221000001102011221012101000
4200310022113333100120323
5122404033020000201021
61230540344053500043
742253631500566126
oct4064122777203073
9627001364835330
10144322041022011
1141a926a7764186
121422a6b3641623
13626b682820798
14278d31cb4b3bd
1511a4232b88b26
hex834297fd063b

144322041022011 has 64 divisors (see below), whose sum is σ = 214524187637760. Its totient is φ = 95894184821760.

The previous prime is 144322041022001. The next prime is 144322041022013. The reversal of 144322041022011 is 110220140223441.

144322041022011 is a `hidden beast` number, since 1 + 4 + 4 + 3 + 2 + 20 + 410 + 220 + 1 + 1 = 666.

144322041022011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 144322041022011 - 213 = 144322041013819 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 (144322041022013) 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, 34717833145 + ... + 34717837301.

It is an arithmetic number, because the mean of its divisors is an integer number (3351940431840).

Almost surely, 2144322041022011 is an apocalyptic number.

144322041022011 is a deficient number, since it is larger than the sum of its proper divisors (70202146615749).

144322041022011 is a wasteful number, since it uses less digits than its factorization.

144322041022011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7761 (or 7755 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 144322041022011 its reverse (110220140223441), we get a palindrome (254542181245452).

The spelling of 144322041022011 in words is "one hundred forty-four trillion, three hundred twenty-two billion, forty-one million, twenty-two thousand, eleven".

Divisors: 1 3 9 27 571 1327 1697 1713 3981 4157 5091 5139 11943 12471 15273 15417 35829 37413 45819 112239 757717 968987 2251919 2273151 2373647 2906961 5516339 6755757 6819453 7054429 7120941 8720883 16549017 20267271 20458359 21163287 21362823 26162649 49647051 60801813 63489861 64088469 148941153 190469583 1285845749 3149829569 3857537247 4028078959 9361227283 9449488707 11572611741 12084236877 28083681849 28348466121 34717835223 36252710631 84251045547 85045398363 108758131893 252753136641 5345260778593 16035782335779 48107347007337 144322041022011