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242146043325 = 365247282691
BaseRepresentation
bin1110000110000100000…
…1110110010110111101
3212011000120111112000000
43201201001312112331
512431403341341300
6303123530024513
723331414256614
oct3414101662675
9764016445000
10242146043325
119376a14636a
123ab1a278139
1319aacb90a54
14ba116c287b
15647356ac00
hex38610765bd

242146043325 has 84 divisors (see below), whose sum is σ = 459765745728. Its totient is φ = 126396352800.

The previous prime is 242146043323. The next prime is 242146043333. The reversal of 242146043325 is 523340641242.

242146043325 is a `hidden beast` number, since 2 + 4 + 2 + 14 + 604 + 3 + 32 + 5 = 666.

242146043325 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 242146043325 - 21 = 242146043323 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 242146043325.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242146043323) by changing a digit.

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 83 ways as a sum of consecutive naturals, for example, 715230 + ... + 997920.

Almost surely, 2242146043325 is an apocalyptic number.

242146043325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

242146043325 is a deficient number, since it is larger than the sum of its proper divisors (217619702403).

242146043325 is an equidigital number, since it uses as much as digits as its factorization.

242146043325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282766 (or 282746 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 242146043325 its reverse (523340641242), we get a palindrome (765486684567).

The spelling of 242146043325 in words is "two hundred forty-two billion, one hundred forty-six million, forty-three thousand, three hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 47 75 81 135 141 225 235 243 405 423 675 705 729 1175 1215 1269 2025 2115 3525 3645 3807 6075 6345 10575 11421 18225 19035 31725 34263 57105 95175 171315 282691 285525 848073 856575 1413455 2544219 4240365 7067275 7632657 12721095 13286477 21201825 22897971 38163285 39859431 63605475 66432385 68693913 114489855 119578293 190816425 199297155 206081739 332161925 343469565 358734879 572449275 597891465 996485775 1030408695 1076204637 1717347825 1793674395 2989457325 3228613911 5152043475 5381023185 8968371975 9685841733 16143069555 26905115925 48429208665 80715347775 242146043325