Search a number
-
+
240142042221344 = 2567312841868369
BaseRepresentation
bin110110100110100001101101…
…000111110100101100100000
31011111021100120211001112122122
4312212201231013310230200
5222433441400302040334
62210423421535323412
7101403455446341614
oct6646415507645440
91144240524045578
10240142042221344
116a57573938669a
1222b25178080568
13a3cc3b3556613
144342d18a57344
151cb69a3e3032e
hexda686d1f4b20

240142042221344 has 48 divisors (see below), whose sum is σ = 473519559363480. Its totient is φ = 119883134730240.

The previous prime is 240142042221343. The next prime is 240142042221449. The reversal of 240142042221344 is 443122240241042.

It can be written as a sum of positive squares in 4 ways, for example, as 115747904304400 + 124394137916944 = 10758620^2 + 11153212^2 .

It is not an unprimeable number, because it can be changed into a prime (240142042221343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 276109592 + ... + 276977960.

Almost surely, 2240142042221344 is an apocalyptic number.

It is an amenable number.

240142042221344 is a deficient number, since it is larger than the sum of its proper divisors (233377517142136).

240142042221344 is a wasteful number, since it uses less digits than its factorization.

240142042221344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881893 (or 881885 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 35.

Adding to 240142042221344 its reverse (443122240241042), we get a palindrome (683264282462386).

The spelling of 240142042221344 in words is "two hundred forty trillion, one hundred forty-two billion, forty-two million, two hundred twenty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 673 1346 2692 5384 10768 12841 21536 25682 51364 102728 205456 410912 868369 1736738 3473476 6946952 8641993 13893904 17283986 27787808 34567972 69135944 138271888 276543776 584412337 1168824674 2337649348 4675298696 9350597392 11150726329 18701194784 22301452658 44602905316 89205810632 178411621264 356823242528 7504438819417 15008877638834 30017755277668 60035510555336 120071021110672 240142042221344