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242442133626 = 237111737834287
BaseRepresentation
bin1110000111001010101…
…1010110000001111010
3212011210012122110112110
43201302223112001322
512433010141234001
6303213144153150
723341641063630
oct3416253260172
9764705573473
10242442133626
119390129a3a0
123aba14687b6
1319b29320104
14ba3cb59350
15648e5563d6
hex3872ad607a

242442133626 has 128 divisors (see below), whose sum is σ = 657392246784. Its totient is φ = 57665848320.

The previous prime is 242442133573. The next prime is 242442133649. The reversal of 242442133626 is 626331244242.

242442133626 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 126546 + ... + 707741.

It is an arithmetic number, because the mean of its divisors is an integer number (5135876928).

Almost surely, 2242442133626 is an apocalyptic number.

242442133626 is an abundant number, since it is smaller than the sum of its proper divisors (414950113158).

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

242442133626 is a wasteful number, since it uses less digits than its factorization.

242442133626 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834364.

The product of its digits is 331776, while the sum is 39.

Adding to 242442133626 its reverse (626331244242), we get a palindrome (868773377868).

The spelling of 242442133626 in words is "two hundred forty-two billion, four hundred forty-two million, one hundred thirty-three thousand, six hundred twenty-six".

Divisors: 1 2 3 6 7 11 14 17 21 22 33 34 37 42 51 66 74 77 102 111 119 154 187 222 231 238 259 357 374 407 462 518 561 629 714 777 814 1122 1221 1258 1309 1554 1887 2442 2618 2849 3774 3927 4403 5698 6919 7854 8547 8806 13209 13838 17094 20757 26418 41514 48433 96866 145299 290598 834287 1668574 2502861 5005722 5840009 9177157 11680018 14182879 17520027 18354314 27531471 28365758 30868619 35040054 42548637 55062942 61737238 64240099 85097274 92605857 99280153 128480198 156011669 185211714 192720297 198560306 216080333 297840459 312023338 339554809 385440594 432160666 468035007 524766523 595680918 648240999 679109618 936070014 1018664427 1049533046 1092081683 1296481998 1574299569 2037328854 2184163366 2376883663 3148599138 3276245049 3673365661 4753767326 5772431753 6552490098 7130650989 7346731322 11020096983 11544863506 14261301978 17317295259 22040193966 34634590518 40407022271 80814044542 121221066813 242442133626