Search a number
-
+
242041105551 = 37229335916903
BaseRepresentation
bin1110000101101011000…
…1100010110010001111
3212010202021001010102210
43201122301202302033
512431200010334201
6303105300521503
723326001310600
oct3413261426217
9763667033383
10242041105551
1193715992033
123aaab0b0293
1319a9420b8ab
14ba017a7da7
15646923d1d6
hex385ac62c8f

242041105551 has 48 divisors (see below), whose sum is σ = 388494489600. Its totient is φ = 133492266432.

The previous prime is 242041105499. The next prime is 242041105591. The reversal of 242041105551 is 155501140242.

242041105551 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 242041105551 - 222 = 242036911247 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242041105591) 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 47 ways as a sum of consecutive naturals, for example, 14310966 + ... + 14327868.

It is an arithmetic number, because the mean of its divisors is an integer number (8093635200).

Almost surely, 2242041105551 is an apocalyptic number.

242041105551 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

242041105551 is a deficient number, since it is larger than the sum of its proper divisors (146453384049).

242041105551 is a wasteful number, since it uses less digits than its factorization.

242041105551 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20308 (or 20301 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 30.

Adding to 242041105551 its reverse (155501140242), we get a palindrome (397542245793).

The spelling of 242041105551 in words is "two hundred forty-two billion, forty-one million, one hundred five thousand, five hundred fifty-one".

Divisors: 1 3 7 21 29 49 87 147 203 609 1421 3359 4263 10077 16903 23513 50709 70539 97411 118321 164591 292233 354963 490187 493773 681877 828247 1470561 2045631 2484741 3431309 4773139 10293927 14319417 24019163 56777177 72057489 170331531 397440239 1192320717 1646538133 2782081673 4939614399 8346245019 11525766931 34577300793 80680368517 242041105551