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242214333042 = 231131311380657
BaseRepresentation
bin1110000110010100011…
…0010110101001110010
3212011012022222222212210
43201211012112221302
512432023332124132
6303134405432550
723333203601163
oct3414506265162
9764168888783
10242214333042
11937a4749450
123ab3910b756
1319ac1080c76
14ba1a7bb76a
156479559bcc
hex3865196a72

242214333042 has 64 divisors (see below), whose sum is σ = 547270483968. Its totient is φ = 70802016000.

The previous prime is 242214333001. The next prime is 242214333079. The reversal of 242214333042 is 240333412242.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 445978 + ... + 826634.

It is an arithmetic number, because the mean of its divisors is an integer number (8551101312).

Almost surely, 2242214333042 is an apocalyptic number.

242214333042 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 242214333042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273635241984).

242214333042 is an abundant number, since it is smaller than the sum of its proper divisors (305056150926).

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

242214333042 is a wasteful number, since it uses less digits than its factorization.

242214333042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381015.

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 242214333042 its reverse (240333412242), we get a palindrome (482547745284).

The spelling of 242214333042 in words is "two hundred forty-two billion, two hundred fourteen million, three hundred thirty-three thousand, forty-two".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 186 311 341 622 682 933 1023 1866 2046 3421 6842 9641 10263 19282 20526 28923 57846 106051 212102 318153 380657 636306 761314 1141971 2283942 4187227 8374454 11800367 12561681 23600734 25123362 35401101 70802202 118384327 129804037 236768654 259608074 355152981 389412111 710305962 778824222 1302227597 2604455194 3669914137 3906682791 7339828274 7813365582 11009742411 22019484822 40369055507 80738111014 121107166521 242214333042