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243432434112 = 2637374895279
BaseRepresentation
bin1110001010110110110…
…1000010100111000000
3212021100020001221102020
43202231231002213000
512442022200342422
6303455321521440
723405324356230
oct3425555024700
9767306057366
10243432434112
119426a29884a
123b219043280
1319c5654242a
14bad449dcc0
1564eb46d95c
hex38adb429c0

243432434112 has 112 divisors (see below), whose sum is σ = 755987880960. Its totient is φ = 67672323072.

The previous prime is 243432434111. The next prime is 243432434129. The reversal of 243432434112 is 211434234342.

It is a tau number, because it is divible by the number of its divisors (112).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243432434111) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2397912 + ... + 2497367.

Almost surely, 2243432434112 is an apocalyptic number.

It is an amenable number.

243432434112 is an abundant number, since it is smaller than the sum of its proper divisors (512555446848).

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

243432434112 is a wasteful number, since it uses less digits than its factorization.

243432434112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4895338 (or 4895328 counting only the distinct ones).

The product of its digits is 55296, while the sum is 33.

Adding to 243432434112 its reverse (211434234342), we get a palindrome (454866668454).

The spelling of 243432434112 in words is "two hundred forty-three billion, four hundred thirty-two million, four hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 37 42 48 56 64 74 84 96 111 112 148 168 192 222 224 259 296 336 444 448 518 592 672 777 888 1036 1184 1344 1554 1776 2072 2368 3108 3552 4144 6216 7104 8288 12432 16576 24864 49728 4895279 9790558 14685837 19581116 29371674 34266953 39162232 58743348 68533906 78324464 102800859 117486696 137067812 156648928 181125323 205601718 234973392 274135624 313297856 362250646 411203436 469946784 543375969 548271248 724501292 822406872 939893568 1086751938 1096542496 1267877261 1449002584 1644813744 2173503876 2193084992 2535754522 2898005168 3289627488 3803631783 4347007752 5071509044 5796010336 6579254976 7607263566 8694015504 10143018088 11592020672 15214527132 17388031008 20286036176 30429054264 34776062016 40572072352 60858108528 81144144704 121716217056 243432434112