Search a number
-
+
7138098445284 = 22341484292
BaseRepresentation
bin110011111011111011111…
…0100100111101111100100
3221021101200100112212110000
41213313313310213233210
51413422311200222114
623103110330301300
71334465506453212
oct147676764475744
927241610485400
107138098445284
112302283534264
129734b2887830
133ca173261201
141a96b30b3cb2
15c5a29506e09
hex67df7d27be4

7138098445284 has 45 divisors (see below), whose sum is σ = 18660525050937. Its totient is φ = 2379350118096.

The previous prime is 7138098445277. The next prime is 7138098445327. The reversal of 7138098445284 is 4825448908317.

It is a happy number.

The square root of 7138098445284 is 2671722.

It is a perfect power (a square), and thus also a powerful number.

7138098445284 is a `hidden beast` number, since 7 + 1 + 3 + 80 + 98 + 445 + 28 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1175320510884 + 5962777934400 = 1084122^2 + 2441880^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 48016782 + ... + 48165210.

Almost surely, 27138098445284 is an apocalyptic number.

7138098445284 is the 2671722-nd square number.

It is an amenable number.

7138098445284 is an abundant number, since it is smaller than the sum of its proper divisors (11522426605653).

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

7138098445284 is an frugal number, since it uses more digits than its factorization.

7138098445284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296874 (or 148434 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 7138098445284 in words is "seven trillion, one hundred thirty-eight billion, ninety-eight million, four hundred forty-five thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 148429 296858 445287 593716 890574 1335861 1781148 2671722 4007583 5343444 8015166 12022749 16030332 24045498 48090996 22031168041 44062336082 66093504123 88124672164 132187008246 198280512369 264374016492 396561024738 594841537107 793122049476 1189683074214 1784524611321 2379366148428 3569049222642 7138098445284