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243432244140 = 223543233404951
BaseRepresentation
bin1110001010110110110…
…0010100001110101100
3212021100012201021211020
43202231230110032230
512442022123303030
6303455313454140
723405322635331
oct3425554241654
9767305637736
10243432244140
119426a179048
123b218b71350
1319c564a6b17
14bad4450988
1564eb432510
hex38adb143ac

243432244140 has 96 divisors (see below), whose sum is σ = 700456813056. Its totient is φ = 63133324800.

The previous prime is 243432244079. The next prime is 243432244171. The reversal of 243432244140 is 41442234342.

243432244140 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 398665 + ... + 803615.

It is an arithmetic number, because the mean of its divisors is an integer number (7296425136).

Almost surely, 2243432244140 is an apocalyptic number.

243432244140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243432244140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350228406528).

243432244140 is an abundant number, since it is smaller than the sum of its proper divisors (457024568916).

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

243432244140 is a wasteful number, since it uses less digits than its factorization.

243432244140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405239 (or 405237 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 33.

Adding to 243432244140 its reverse (41442234342), we get a palindrome (284874478482).

The spelling of 243432244140 in words is "two hundred forty-three billion, four hundred thirty-two million, two hundred forty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 129 172 215 233 258 430 466 516 645 699 860 932 1165 1290 1398 2330 2580 2796 3495 4660 6990 10019 13980 20038 30057 40076 50095 60114 100190 120228 150285 200380 300570 404951 601140 809902 1214853 1619804 2024755 2429706 4049510 4859412 6074265 8099020 12148530 17412893 24297060 34825786 52238679 69651572 87064465 94353583 104477358 174128930 188707166 208954716 261193395 283060749 348257860 377414332 471767915 522386790 566121498 943535830 1044773580 1132242996 1415303745 1887071660 2830607490 4057204069 5661214980 8114408138 12171612207 16228816276 20286020345 24343224414 40572040690 48686448828 60858061035 81144081380 121716122070 243432244140