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144213435234 = 233112361917053
BaseRepresentation
bin1000011001001111001…
…0100110001101100010
3111210020111000120022000
42012103302212031202
54330322114411414
6150130054224430
713263512655021
oct2062362461542
9453214016260
10144213435234
11561847a7420
1223b48955116
13107a379303b
146da10608b8
153b40aa6b09
hex2193ca6362

144213435234 has 128 divisors (see below), whose sum is σ = 365419468800. Its totient is φ = 41731018560.

The previous prime is 144213435229. The next prime is 144213435241. The reversal of 144213435234 is 432534312441.

144213435234 is a `hidden beast` number, since 1 + 4 + 4 + 213 + 435 + 2 + 3 + 4 = 666.

It is a super-2 number, since 2×1442134352342 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8448252 + ... + 8465304.

It is an arithmetic number, because the mean of its divisors is an integer number (2854839600).

Almost surely, 2144213435234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144213435234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182709734400).

144213435234 is an abundant number, since it is smaller than the sum of its proper divisors (221206033566).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

144213435234 is a wasteful number, since it uses less digits than its factorization.

144213435234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17717 (or 17711 counting only the distinct ones).

The product of its digits is 138240, while the sum is 36.

Adding to 144213435234 its reverse (432534312441), we get a palindrome (576747747675).

The spelling of 144213435234 in words is "one hundred forty-four billion, two hundred thirteen million, four hundred thirty-five thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 23 27 33 46 54 66 69 99 138 198 207 253 297 414 506 594 619 621 759 1238 1242 1518 1857 2277 3714 4554 5571 6809 6831 11142 13618 13662 14237 16713 17053 20427 28474 33426 34106 40854 42711 51159 61281 85422 102318 122562 128133 153477 156607 183843 187583 256266 306954 313214 367686 375166 384399 392219 460431 469821 562749 768798 784438 920862 939642 1125498 1176657 1409463 1688247 2353314 2818926 3376494 3529971 4228389 4314409 5064741 7059942 8456778 8628818 10129482 10555807 10589913 12943227 21111614 21179826 25886454 31667421 38829681 63334842 77659362 95002263 116113877 116489043 190004526 232227754 232978086 242783561 285006789 348341631 485567122 570013578 696683262 728350683 1045024893 1456701366 2090049786 2185052049 2670619171 3135074679 4370104098 5341238342 6270149358 6555156147 8011857513 13110312294 16023715026 24035572539 48071145078 72106717617 144213435234