Search a number
-
+
42001235111250 = 232543733443121
BaseRepresentation
bin10011000110011001011001…
…01100101110110101010010
312111201021112021212000101200
421203030230230232311102
521001122012142030000
6225155033454012030
711563326521604162
oct1143145454566522
9174637467760350
1042001235111250
1112423695283258
1248641547a7016
131a5891299789c
14a52c28dd85a2
154cc83636d500
hex26332cb2ed52

42001235111250 has 60 divisors (see below), whose sum is σ = 113716944052998. Its totient is φ = 11200329360000.

The previous prime is 42001235111201. The next prime is 42001235111257. The reversal of 42001235111250 is 5211153210024.

It is a happy number.

42001235111250 is a `hidden beast` number, since 4 + 2 + 0 + 0 + 1 + 23 + 511 + 125 + 0 = 666.

42001235111250 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 291428305281 + 41709806805969 = 539841^2 + 6458313^2 .

It is not an unprimeable number, because it can be changed into a prime (42001235111257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1866710311 + ... + 1866732810.

Almost surely, 242001235111250 is an apocalyptic number.

42001235111250 is an abundant number, since it is smaller than the sum of its proper divisors (71715708941748).

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

42001235111250 is a wasteful number, since it uses less digits than its factorization.

42001235111250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3733443149 (or 3733443131 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 42001235111250 its reverse (5211153210024), we get a palindrome (47212388321274).

The spelling of 42001235111250 in words is "forty-two trillion, one billion, two hundred thirty-five million, one hundred eleven thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 125 150 225 250 375 450 625 750 1125 1250 1875 2250 3750 5625 11250 3733443121 7466886242 11200329363 18667215605 22400658726 33600988089 37334431210 56001646815 67201976178 93336078025 112003293630 168004940445 186672156050 280008234075 336009880890 466680390125 560016468150 840024702225 933360780250 1400041170375 1680049404450 2333401950625 2800082340750 4200123511125 4666803901250 7000205851875 8400247022250 14000411703750 21000617555625 42001235111250