Search a number
-
+
242946140922 = 232174331159369
BaseRepresentation
bin1110001001000010110…
…1111110101011111010
3212020002100000200120100
43202100231332223322
512440023203002142
6303335150540230
723360301060642
oct3422055765372
9766070020510
10242946140922
119403a843551
123b102207676
1319ba9879194
14ba89a75522
1564bd911b4c
hex3890b7eafa

242946140922 has 96 divisors (see below), whose sum is σ = 572152014720. Its totient is φ = 74205250560.

The previous prime is 242946140909. The next prime is 242946140923. The reversal of 242946140922 is 229041649242.

It is a happy number.

242946140922 is a `hidden beast` number, since 2 + 4 + 2 + 9 + 4 + 614 + 0 + 9 + 22 = 666.

It is not an unprimeable number, because it can be changed into a prime (242946140923) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4062454 + ... + 4121822.

It is an arithmetic number, because the mean of its divisors is an integer number (5959916820).

Almost surely, 2242946140922 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242946140922, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286076007360).

242946140922 is an abundant number, since it is smaller than the sum of its proper divisors (329205873798).

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

242946140922 is a wasteful number, since it uses less digits than its factorization.

242946140922 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59748 (or 59745 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 242946140922 in words is "two hundred forty-two billion, nine hundred forty-six million, one hundred forty thousand, nine hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 34 43 51 86 102 129 153 258 306 311 387 622 731 774 933 1462 1866 2193 2799 4386 5287 5598 6579 10574 13158 13373 15861 26746 31722 40119 47583 59369 80238 95166 118738 120357 178107 227341 240714 356214 454682 534321 682023 1009273 1068642 1364046 2018546 2046069 2552867 3027819 4092138 5105734 6055638 7658601 9083457 15317202 18166914 18463759 22975803 36927518 43398739 45951606 55391277 86797478 110782554 130196217 166173831 260392434 313883903 332347662 390588651 627767806 781177302 793941637 941651709 1587883274 1883303418 2381824911 2824955127 4763649822 5649910254 7145474733 13497007829 14290949466 26994015658 40491023487 80982046974 121473070461 242946140922