Search a number
-
+
242044200040 = 23517715013343
BaseRepresentation
bin1110000101101011110…
…1010110010001101000
3212010202110212100021111
43201122331112101220
512431201303400130
6303105451120104
723326036516456
oct3413275262150
9763673770244
10242044200040
1193717705a65
123aab0143034
1319a94a53256
14ba01d719d6
15646965002a
hex385af56468

242044200040 has 64 divisors (see below), whose sum is σ = 584756444160. Its totient is φ = 89839088640.

The previous prime is 242044199981. The next prime is 242044200077. The reversal of 242044200040 is 40002440242.

242044200040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 242044199984 and 242044200020.

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 15 ways as a sum of consecutive naturals, for example, 2458392 + ... + 2554951.

It is an arithmetic number, because the mean of its divisors is an integer number (9136819440).

Almost surely, 2242044200040 is an apocalyptic number.

242044200040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242044200040 is an abundant number, since it is smaller than the sum of its proper divisors (342712244120).

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

242044200040 is a wasteful number, since it uses less digits than its factorization.

242044200040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5013442 (or 5013438 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

Adding to 242044200040 its reverse (40002440242), we get a palindrome (282046640282).

The spelling of 242044200040 in words is "two hundred forty-two billion, forty-four million, two hundred thousand, forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 71 85 136 142 170 284 340 355 568 680 710 1207 1420 2414 2840 4828 6035 9656 12070 24140 48280 5013343 10026686 20053372 25066715 40106744 50133430 85226831 100266860 170453662 200533720 340907324 355947353 426134155 681814648 711894706 852268310 1423789412 1704536620 1779736765 2847578824 3409073240 3559473530 6051105001 7118947060 12102210002 14237894120 24204420004 30255525005 48408840008 60511050010 121022100020 242044200040