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34233423144201 = 32151173769189347
BaseRepresentation
bin1111100100010100101110…
…00001101010010100001001
311111012200110010012210100100
413302022113001222110021
513441340022311103301
6200450341213200013
710132166065365411
oct762122701522411
9144180403183310
1034233423144201
11a9a93499a0846
123a0a800190009
131614275b89348
14864c996c9641
153e575360c286
hex1f229706a509

34233423144201 has 48 divisors (see below), whose sum is σ = 50128837799040. Its totient is φ = 22510664294400.

The previous prime is 34233423144199. The next prime is 34233423144203. The reversal of 34233423144201 is 10244132433243.

34233423144201 is a `hidden beast` number, since 3 + 4 + 2 + 334 + 2 + 314 + 4 + 2 + 0 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (34233423144199) and next prime (34233423144203).

It is not a de Polignac number, because 34233423144201 - 21 = 34233423144199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34233423144203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 180702610 + ... + 180891956.

It is an arithmetic number, because the mean of its divisors is an integer number (1044350787480).

Almost surely, 234233423144201 is an apocalyptic number.

It is an amenable number.

34233423144201 is a deficient number, since it is larger than the sum of its proper divisors (15895414654839).

34233423144201 is a wasteful number, since it uses less digits than its factorization.

34233423144201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190446 (or 190443 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 34233423144201 its reverse (10244132433243), we get a palindrome (44477555577444).

The spelling of 34233423144201 in words is "thirty-four trillion, two hundred thirty-three billion, four hundred twenty-three million, one hundred forty-four thousand, two hundred one".

Divisors: 1 3 9 151 173 453 519 769 1359 1557 2307 6921 26123 78369 116119 133037 189347 235107 348357 399111 568041 1045071 1197333 1704123 20088587 28591397 32757031 60265761 85774191 98271093 145607843 180797283 257322573 294813279 436823529 1310470587 4946311681 14838935043 21986784293 25190156839 44516805129 65960352879 75570470517 197881058637 226711411551 3803713682689 11411141048067 34233423144201