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242670148441 = 7231721417297
BaseRepresentation
bin1110001000000001000…
…1001001101101011001
3212012101002200211001121
43202000101021231121
512433442024222231
6303251531245241
723350410141100
oct3420021115531
9765332624047
10242670148441
1193a08a77296
123b0458a9821
1319b64635916
14ba61151037
1564a4596311
hex3880449b59

242670148441 has 24 divisors (see below), whose sum is σ = 283351359816. Its totient is φ = 207221575680.

The previous prime is 242670148397. The next prime is 242670148453. The reversal of 242670148441 is 144841076242.

It can be written as a sum of positive squares in 4 ways, for example, as 24367210000 + 218302938441 = 156100^2 + 467229^2 .

It is not a de Polignac number, because 242670148441 - 223 = 242661759833 is a prime.

It is not an unprimeable number, because it can be changed into a prime (242670148541) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33252505 + ... + 33259801.

It is an arithmetic number, because the mean of its divisors is an integer number (11806306659).

Almost surely, 2242670148441 is an apocalyptic number.

It is an amenable number.

242670148441 is a deficient number, since it is larger than the sum of its proper divisors (40681211375).

242670148441 is a wasteful number, since it uses less digits than its factorization.

242670148441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9769 (or 9762 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 43.

The spelling of 242670148441 in words is "two hundred forty-two billion, six hundred seventy million, one hundred forty-eight thousand, four hundred forty-one".

Divisors: 1 7 49 317 2141 2219 7297 14987 15533 51079 104909 357553 678697 2313149 4750879 15622877 16192043 33256153 109360139 113344301 765520973 4952452009 34667164063 242670148441