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242011433020 = 225731214326021
BaseRepresentation
bin1110000101100100000…
…0010110100000111100
3212010200012012121101011
43201121000112200330
512431114411324040
6303102320525004
723325161145010
oct3413100264074
9763605177334
10242011433020
1193700165685
123aaa1180764
1319a8b01c996
14b9db882540
15646682b3ea
hex385901683c

242011433020 has 96 divisors (see below), whose sum is σ = 599866638336. Its totient is φ = 80258169600.

The previous prime is 242011432997. The next prime is 242011433029. The reversal of 242011433020 is 20334110242.

It is a junction number, because it is equal to n+sod(n) for n = 242011432982 and 242011433000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242011433029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9287610 + ... + 9313630.

It is an arithmetic number, because the mean of its divisors is an integer number (6248610816).

Almost surely, 2242011433020 is an apocalyptic number.

242011433020 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 242011433020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299933319168).

242011433020 is an abundant number, since it is smaller than the sum of its proper divisors (357855205316).

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

242011433020 is a wasteful number, since it uses less digits than its factorization.

242011433020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28211 (or 28209 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 242011433020 its reverse (20334110242), we get a palindrome (262345543262).

The spelling of 242011433020 in words is "two hundred forty-two billion, eleven million, four hundred thirty-three thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 62 70 124 140 155 217 310 434 620 868 1085 2143 2170 4286 4340 8572 10715 15001 21430 26021 30002 42860 52042 60004 66433 75005 104084 130105 132866 150010 182147 260210 265732 300020 332165 364294 465031 520420 664330 728588 806651 910735 930062 1328660 1613302 1821470 1860124 2325155 3226604 3642940 4033255 4650310 5646557 8066510 9300620 11293114 16133020 22586228 28232785 55763003 56465570 111526006 112931140 223052012 278815015 390341021 557630030 780682042 1115260060 1561364084 1728653093 1951705105 3457306186 3903410210 6914612372 7806820420 8643265465 12100571651 17286530930 24201143302 34573061860 48402286604 60502858255 121005716510 242011433020