Search a number
-
+
153440135244 = 2233112319928219
BaseRepresentation
bin1000111011100110111…
…1101010100001001100
3112200001111200111021000
42032321233222201030
510003221133311434
6154253414340300
714041250426034
oct2167157524114
9480044614230
10153440135244
115a089a57730
12258a295a690
13116141b8546
1475d86088c4
153ed0b13b99
hex23b9bea84c

153440135244 has 192 divisors, whose sum is σ = 455132160000. Its totient is φ = 44250338880.

The previous prime is 153440135237. The next prime is 153440135257. The reversal of 153440135244 is 442531044351.

153440135244 is a `hidden beast` number, since 1 + 5 + 3 + 4 + 401 + 3 + 5 + 244 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 153440135199 and 153440135208.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5423367 + ... + 5451585.

It is an arithmetic number, because the mean of its divisors is an integer number (2370480000).

Almost surely, 2153440135244 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153440135244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227566080000).

153440135244 is an abundant number, since it is smaller than the sum of its proper divisors (301692024756).

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

153440135244 is a wasteful number, since it uses less digits than its factorization.

153440135244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28465 (or 28457 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 153440135244 its reverse (442531044351), we get a palindrome (595971179595).

The spelling of 153440135244 in words is "one hundred fifty-three billion, four hundred forty million, one hundred thirty-five thousand, two hundred forty-four".