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144148041324333 = 3240993414192273
BaseRepresentation
bin100000110001101000010100…
…110011000101011100101101
3200220101102021211210201111200
4200301220110303011130231
5122343210142034334313
61230324410200240113
742235231561553604
oct4061502463053455
9626342254721450
10144148041324333
1141a25928439a42
1214200a33470039
13625814304c7a7
142784b33bdca3b
15119e94c127b73
hex831a14cc572d

144148041324333 has 24 divisors (see below), whose sum is σ = 208745312363640. Its totient is φ = 95853448535040.

The previous prime is 144148041324257. The next prime is 144148041324341. The reversal of 144148041324333 is 333423140841441.

144148041324333 is a `hidden beast` number, since 1 + 4 + 4 + 1 + 4 + 80 + 4 + 132 + 433 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14933486885769 + 129214554438564 = 3864387^2 + 11367258^2 .

It is not a de Polignac number, because 144148041324333 - 230 = 144146967582509 is a prime.

It is a super-2 number, since 2×1441480413243332 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144148041324733) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32288085 + ... + 36480357.

It is an arithmetic number, because the mean of its divisors is an integer number (8697721348485).

Almost surely, 2144148041324333 is an apocalyptic number.

It is an amenable number.

144148041324333 is a deficient number, since it is larger than the sum of its proper divisors (64597271039307).

144148041324333 is a wasteful number, since it uses less digits than its factorization.

144148041324333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4202029 (or 4202026 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The spelling of 144148041324333 in words is "one hundred forty-four trillion, one hundred forty-eight billion, forty-one million, three hundred twenty-four thousand, three hundred thirty-three".

Divisors: 1 3 9 409 1227 3681 9341 28023 84069 3820469 4192273 11461407 12576819 34384221 37730457 1714639657 5143918971 15431756913 39160022093 117480066279 352440198837 16016449036037 48049347108111 144148041324333