Search a number
-
+
153245332242 = 234979752153
BaseRepresentation
bin1000111010111000100…
…0100011001100010010
3112122112221010110210000
42032232020203030102
510002321301112432
6154222215150430
714033363555202
oct2165610431422
9478487113700
10153245332242
1159a99aa4312
1225849675416
13115b2a308b2
1475ba7ba402
153ebd98457c
hex23ae223312

153245332242 has 40 divisors (see below), whose sum is σ = 346923126396. Its totient is φ = 50555155968.

The previous prime is 153245332241. The next prime is 153245332249. The reversal of 153245332242 is 242233542351.

153245332242 is a `hidden beast` number, since 1 + 5 + 324 + 5 + 3 + 322 + 4 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 134182283481 + 19063048761 = 366309^2 + 138069^2 .

It is a junction number, because it is equal to n+sod(n) for n = 153245332197 and 153245332206.

It is not an unprimeable number, because it can be changed into a prime (153245332241) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4860363 + ... + 4891790.

Almost surely, 2153245332242 is an apocalyptic number.

153245332242 is an abundant number, since it is smaller than the sum of its proper divisors (193677794154).

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

153245332242 is an equidigital number, since it uses as much as digits as its factorization.

153245332242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9752264 (or 9752255 counting only the distinct ones).

The product of its digits is 172800, while the sum is 36.

Adding to 153245332242 its reverse (242233542351), we get a palindrome (395478874593).

The spelling of 153245332242 in words is "one hundred fifty-three billion, two hundred forty-five million, three hundred thirty-two thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 97 162 194 291 582 873 1746 2619 5238 7857 15714 9752153 19504306 29256459 58512918 87769377 175538754 263308131 526616262 789924393 945958841 1579848786 1891917682 2837876523 5675753046 8513629569 17027259138 25540888707 51081777414 76622666121 153245332242