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433144143102 = 2311210943312641
BaseRepresentation
bin1100100110110010110…
…01110001110011111110
31112102000120010021212110
412103121121301303332
524044034400034402
6530552250114450
743202500316556
oct6233131616376
91472016107773
10433144143102
11157771638700
126bb4311ba26
1331acb215a38
1416d70016166
15b40158a56c
hex64d9671cfe

433144143102 has 96 divisors (see below), whose sum is σ = 963232411680. Its totient is φ = 129741004800.

The previous prime is 433144143083. The next prime is 433144143121. The reversal of 433144143102 is 201341441334.

It is an interprime number because it is at equal distance from previous prime (433144143083) and next prime (433144143121).

It is a super-2 number, since 2×4331441431022 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 433144143102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34258702 + ... + 34271342.

It is an arithmetic number, because the mean of its divisors is an integer number (10033670955).

Almost surely, 2433144143102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 433144143102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481616205840).

433144143102 is an abundant number, since it is smaller than the sum of its proper divisors (530088268578).

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

433144143102 is a wasteful number, since it uses less digits than its factorization.

433144143102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13210 (or 13199 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 433144143102 its reverse (201341441334), we get a palindrome (634485584436).

The spelling of 433144143102 in words is "four hundred thirty-three billion, one hundred forty-four million, one hundred forty-three thousand, one hundred two".

Divisors: 1 2 3 6 11 22 33 66 109 121 218 242 327 363 433 654 726 866 1199 1299 2398 2598 3597 4763 7194 9526 12641 13189 14289 25282 26378 28578 37923 39567 47197 52393 75846 79134 94394 104786 139051 141591 157179 278102 283182 314358 417153 519167 834306 1038334 1377869 1529561 1557501 2755738 3059122 3115002 4133607 4588683 5473553 5710837 8267214 9177366 10947106 11421674 15156559 16420659 17132511 30313118 32841318 34265022 45469677 60209083 90939354 120418166 166722149 180627249 333444298 361254498 500166447 596617277 662299913 1000332894 1193234554 1324599826 1789851831 1986899739 3579703662 3973799478 6562790047 13125580094 19688370141 39376740282 72190690517 144381381034 216572071551 433144143102