Search a number
-
+
442541235114 = 232113760406939
BaseRepresentation
bin1100111000010011000…
…00110101101110101010
31120022021110102000201100
412130021200311232222
524222311024010424
6535144534302230
743654404301356
oct6341140655652
91508243360640
10442541235114
11160753a98a50
12719261b7976
1332968029b04
14175c2076466
15b7a1553dc9
hex6709835baa

442541235114 has 48 divisors (see below), whose sum is σ = 1074277020960. Its totient is φ = 130478986080.

The previous prime is 442541235061. The next prime is 442541235121. The reversal of 442541235114 is 411532145244.

442541235114 is a `hidden beast` number, since 4 + 42 + 541 + 23 + 51 + 1 + 4 = 666.

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 23 ways as a sum of consecutive naturals, for example, 30196144 + ... + 30210795.

It is an arithmetic number, because the mean of its divisors is an integer number (22380771270).

Almost surely, 2442541235114 is an apocalyptic number.

442541235114 is an abundant number, since it is smaller than the sum of its proper divisors (631735785846).

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

442541235114 is a wasteful number, since it uses less digits than its factorization.

442541235114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60406995 (or 60406992 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

The spelling of 442541235114 in words is "four hundred forty-two billion, five hundred forty-one million, two hundred thirty-five thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 74 99 111 198 222 333 407 666 814 1221 2442 3663 7326 60406939 120813878 181220817 362441634 543662451 664476329 1087324902 1328952658 1993428987 2235056743 3986857974 4470113486 5980286961 6705170229 11960573922 13410340458 20115510687 24585624173 40231021374 49171248346 73756872519 147513745038 221270617557 442541235114