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242978013184 = 21438512
BaseRepresentation
bin1110001001001010011…
…1100100000000000000
3212020011112222222002111
43202102213210000000
512440104332410214
6303342250025104
723361136014664
oct3422247440000
9766145888074
10242978013184
1194056832665
123b110a18194
1319bb33583ca
14ba8ddb08a4
1564c160a5c4
hex38929e4000

242978013184 has 45 divisors (see below), whose sum is σ = 486067414651. Its totient is φ = 121457459200.

The previous prime is 242978013181. The next prime is 242978013193. The reversal of 242978013184 is 481310879242.

The square root of 242978013184 is 492928.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (242978013181) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 63092859 + ... + 63096709.

Almost surely, 2242978013184 is an apocalyptic number.

242978013184 is the 492928-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242978013184

242978013184 is an abundant number, since it is smaller than the sum of its proper divisors (243089401467).

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

242978013184 is an frugal number, since it uses more digits than its factorization.

242978013184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7730 (or 3853 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 49.

Multiplying 242978013184 by its sum of digits (49), we get a square (11905922646016 = 34504962).

The spelling of 242978013184 in words is "two hundred forty-two billion, nine hundred seventy-eight million, thirteen thousand, one hundred eighty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 3851 4096 7702 8192 15404 16384 30808 61616 123232 246464 492928 985856 1971712 3943424 7886848 14830201 15773696 29660402 31547392 59320804 63094784 118641608 237283216 474566432 949132864 1898265728 3796531456 7593062912 15186125824 30372251648 60744503296 121489006592 242978013184