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242043153144 = 23313839346739
BaseRepresentation
bin1110000101101011100…
…1010110101011111000
3212010202101220011012120
43201122321112223320
512431201021400034
6303105412441240
723326024566342
oct3413271265370
9763671804176
10242043153144
1193717060461
123aaab919220
1319a947778a0
14ba01b7c292
1564694e4c49
hex385ae56af8

242043153144 has 64 divisors (see below), whose sum is σ = 659505974400. Its totient is φ = 73577521536.

The previous prime is 242043153103. The next prime is 242043153151. The reversal of 242043153144 is 441351340242.

242043153144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4647474 + ... + 4699265.

It is an arithmetic number, because the mean of its divisors is an integer number (10304780850).

Almost surely, 2242043153144 is an apocalyptic number.

242043153144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

242043153144 is an abundant number, since it is smaller than the sum of its proper divisors (417462821256).

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

242043153144 is a wasteful number, since it uses less digits than its factorization.

242043153144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9346844 (or 9346840 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

Adding to 242043153144 its reverse (441351340242), we get a palindrome (683394493386).

The spelling of 242043153144 in words is "two hundred forty-two billion, forty-three million, one hundred fifty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 83 104 156 166 249 312 332 498 664 996 1079 1992 2158 3237 4316 6474 8632 12948 25896 9346739 18693478 28040217 37386956 56080434 74773912 112160868 121507607 224321736 243015214 364522821 486030428 729045642 775779337 972060856 1458091284 1551558674 2327338011 2916182568 3103117348 4654676022 6206234696 9309352044 10085131381 18618704088 20170262762 30255394143 40340525524 60510788286 80681051048 121021576572 242043153144