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242035506869 = 131729241349449
BaseRepresentation
bin1110000101101001110…
…0001011111010110101
3212010201212111200111012
43201122130023322311
512431142042204434
6303104540522005
723325602602112
oct3413234137265
9763655450435
10242035506869
1193712808722
123aaa9250305
1319a92ccb470
14ba00b4b909
1564689d43ce
hex385a70beb5

242035506869 has 64 divisors (see below), whose sum is σ = 288149400000. Its totient is φ = 201153576960.

The previous prime is 242035506863. The next prime is 242035506877. The reversal of 242035506869 is 968605530242.

It can be written as a sum of positive squares in 32 ways, for example, as 57870075844 + 184165431025 = 240562^2 + 429145^2 .

It is a de Polignac number, because none of the positive numbers 2k-242035506869 is a prime.

It is a super-2 number, since 2×2420355068692 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242035506863) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 539054357 + ... + 539054805.

It is an arithmetic number, because the mean of its divisors is an integer number (4502334375).

Almost surely, 2242035506869 is an apocalyptic number.

242035506869 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

242035506869 is a deficient number, since it is larger than the sum of its proper divisors (46113893131).

242035506869 is a wasteful number, since it uses less digits than its factorization.

242035506869 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1098.

The product of its (nonzero) digits is 3110400, while the sum is 50.

The spelling of 242035506869 in words is "two hundred forty-two billion, thirty-five million, five hundred six thousand, eight hundred sixty-nine".

Divisors: 1 13 17 29 221 241 349 377 449 493 3133 4097 4537 5837 5933 6409 6989 7633 10121 13021 53261 77129 84109 90857 99229 108209 118813 131573 156701 169273 172057 221357 1093417 1406717 1429853 1544569 1839553 2037113 2236741 2439161 2663917 2877641 3138061 4544329 18588089 23914189 31709093 34630921 37764941 40794793 41465737 53347037 59076277 77253593 490944233 539054581 642003997 693511481 1004296709 1095183289 8346051961 14237382757 18618115913 242035506869