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243155055136 = 25723119325919
BaseRepresentation
bin1110001001110100101…
…0111011001000100000
3212020121220010121222211
43202131022323020200
512440440143231021
6303412012411504
723365415603200
oct3423512731040
9766556117884
10243155055136
1194137764924
123b160176b94
1319c10c34a66
14baa96d8400
1564d1e2c3e1
hex389d2bb220

243155055136 has 144 divisors (see below), whose sum is σ = 577832693760. Its totient is φ = 100321320960.

The previous prime is 243155055131. The next prime is 243155055193. The reversal of 243155055136 is 631550551342.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (243155055131) 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 23 ways as a sum of consecutive naturals, for example, 9368385 + ... + 9394303.

It is an arithmetic number, because the mean of its divisors is an integer number (4012727040).

Almost surely, 2243155055136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243155055136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288916346880).

243155055136 is an abundant number, since it is smaller than the sum of its proper divisors (334677638624).

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

243155055136 is a wasteful number, since it uses less digits than its factorization.

243155055136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26167 (or 26152 counting only the distinct ones).

The product of its (nonzero) digits is 270000, while the sum is 40.

The spelling of 243155055136 in words is "two hundred forty-three billion, one hundred fifty-five million, fifty-five thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 31 32 49 56 62 98 112 124 193 196 217 224 248 386 392 434 496 772 784 868 992 1351 1519 1544 1568 1736 2702 3038 3088 3472 5404 5983 6076 6176 6944 9457 10808 11966 12152 18914 21616 23932 24304 25919 37828 41881 43232 47864 48608 51838 75656 83762 95728 103676 151312 167524 181433 191456 207352 293167 302624 335048 362866 414704 586334 670096 725732 803489 829408 1172668 1270031 1340192 1451464 1606978 2345336 2540062 2902928 3213956 4690672 5002367 5080124 5624423 5805856 6427912 9381344 10004734 10160248 11248846 12855824 20009468 20320496 22497692 25711648 35016569 39370961 40018936 40640992 44995384 70033138 78741922 80037872 89990768 140066276 155073377 157483844 160075744 179981536 245115983 280132552 310146754 314967688 490231966 560265104 620293508 629935376 980463932 1085513639 1120530208 1240587016 1259870752 1960927864 2171027278 2481174032 3921855728 4342054556 4962348064 7598595473 7843711456 8684109112 15197190946 17368218224 30394381892 34736436448 60788763784 121577527568 243155055136