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43442433424434 = 231137531531921911
BaseRepresentation
bin10011110000010101110101…
…10011111111110000110010
312200211001111212201222000210
421320022322303333300302
521143230100424040214
6232221102311324550
712102416666256402
oct1170127263776062
9180731455658023
1043442433424434
1112929918142a60
124a57527080756
131b317b09a7765
14aa28a6dc2802
155050862bab59
hex2782bacffc32

43442433424434 has 128 divisors (see below), whose sum is σ = 99192910417920. Its totient is φ = 12565514707200.

The previous prime is 43442433424421. The next prime is 43442433424519.

43442433424434 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1982665939 + ... + 1982687849.

It is an arithmetic number, because the mean of its divisors is an integer number (774944612640).

Almost surely, 243442433424434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43442433424434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49596455208960).

43442433424434 is an abundant number, since it is smaller than the sum of its proper divisors (55750476993486).

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

43442433424434 is a wasteful number, since it uses less digits than its factorization.

43442433424434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37336.

The product of its digits is 21233664, while the sum is 48.

It can be divided in two parts, 4344243 and 3424434, that added together give a palindrome (7768677).

The spelling of 43442433424434 in words is "forty-three trillion, four hundred forty-two billion, four hundred thirty-three million, four hundred twenty-four thousand, four hundred thirty-four".

Divisors: 1 2 3 6 11 22 33 37 53 66 74 106 111 159 222 318 407 583 814 1166 1221 1749 1961 2442 3498 3922 5883 11766 15319 21571 21911 30638 43142 43822 45957 64713 65733 91914 129426 131466 168509 241021 337018 482042 505527 566803 723063 810707 811907 1011054 1133606 1161283 1446126 1621414 1623814 1700409 2322566 2432121 2435721 3400818 3483849 4864242 4871442 6234833 6967698 8917777 8930977 12469666 12774113 17835554 17861954 18704499 25548226 26753331 26792931 30040559 37408998 38322339 42967471 53506662 53585862 60081118 76644678 85934942 90121677 128902413 180243354 257804826 330446149 335654609 472642181 660892298 671309218 945284362 991338447 1006963827 1417926543 1982676894 2013927654 2835853086 3692200699 7384401398 11076602097 12419220533 17789694277 22153204194 24838441066 35579388554 37257661599 53369082831 74515323198 106738165662 136611425863 195686637047 273222851726 391373274094 409834277589 587059911141 658218688249 819668555178 1174119822282 1316437376498 1974656064747 3949312129494 7240405570739 14480811141478 21721216712217 43442433424434