Search a number
-
+
242442342201501 = 3413297939297973
BaseRepresentation
bin110111001000000000000001…
…101011110111100010011101
31011210102021001200021222210000
4313020000001223313202131
5223234133404100422001
62215344250251204513
7102031611151510131
oct6710000153674235
91153367050258700
10242442342201501
1170282246794262
1223236b49a46739
13a5382a3b0b330
1443c23b44153c1
151d06735ac4a86
hexdc8001af789d

242442342201501 has 40 divisors (see below), whose sum is σ = 403475123038680. Its totient is φ = 144050622403968.

The previous prime is 242442342201491. The next prime is 242442342201503. The reversal of 242442342201501 is 105102243244242.

242442342201501 is a `hidden beast` number, since 2 + 4 + 2 + 4 + 423 + 4 + 220 + 1 + 5 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 714787393401 + 241727554808100 = 845451^2 + 15547590^2 .

It is not a de Polignac number, because 242442342201501 - 222 = 242442338007197 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242442342201503) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3969618450 + ... + 3969679523.

It is an arithmetic number, because the mean of its divisors is an integer number (10086878075967).

Almost surely, 2242442342201501 is an apocalyptic number.

It is an amenable number.

242442342201501 is a deficient number, since it is larger than the sum of its proper divisors (161032780837179).

242442342201501 is a wasteful number, since it uses less digits than its factorization.

242442342201501 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7939298027 (or 7939298018 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

Adding to 242442342201501 its reverse (105102243244242), we get a palindrome (347544585445743).

The spelling of 242442342201501 in words is "two hundred forty-two trillion, four hundred forty-two billion, three hundred forty-two million, two hundred one thousand, five hundred one".

Divisors: 1 3 9 13 27 29 39 81 87 117 261 351 377 783 1053 1131 2349 3393 10179 30537 7939297973 23817893919 71453681757 103210873649 214361045271 230239641217 309632620947 643083135813 690718923651 928897862841 2072156770953 2786693588523 2993115335821 6216470312859 8360080765569 8979346007463 18649410938577 26938038022389 80814114067167 242442342201501