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243420352032 = 253111317731669
BaseRepresentation
bin1110001010110011111…
…0111100111000100000
3212021022101100002220210
43202230332330320200
512442011102231112
6303454210534120
723405116565424
oct3425476747040
9767271302823
10243420352032
1194263496360
123b214b97340
1319c53ba1c80
14bad2a36b84
1564ea383b3c
hex38acfbce20

243420352032 has 96 divisors (see below), whose sum is σ = 750687981120. Its totient is φ = 68089605120.

The previous prime is 243420352013. The next prime is 243420352057. The reversal of 243420352032 is 230253024342.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×2434203520323 (a number of 35 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8852107 + ... + 8879562.

It is an arithmetic number, because the mean of its divisors is an integer number (7819666470).

Almost surely, 2243420352032 is an apocalyptic number.

243420352032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

243420352032 is an abundant number, since it is smaller than the sum of its proper divisors (507267629088).

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

243420352032 is a wasteful number, since it uses less digits than its factorization.

243420352032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17731706 (or 17731698 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 30.

Adding to 243420352032 its reverse (230253024342), we get a palindrome (473673376374).

The spelling of 243420352032 in words is "two hundred forty-three billion, four hundred twenty million, three hundred fifty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 66 78 88 96 104 132 143 156 176 208 264 286 312 352 416 429 528 572 624 858 1056 1144 1248 1716 2288 3432 4576 6864 13728 17731669 35463338 53195007 70926676 106390014 141853352 195048359 212780028 230511697 283706704 390096718 425560056 461023394 567413408 585145077 691535091 780193436 851120112 922046788 1170290154 1383070182 1560386872 1702240224 1844093576 2340580308 2535628667 2766140364 3120773744 3688187152 4681160616 5071257334 5532280728 6241547488 7376374304 7606886001 9362321232 10142514668 11064561456 15213772002 18724642464 20285029336 22129122912 30427544004 40570058672 60855088008 81140117344 121710176016 243420352032