Search a number
-
+
153044135244 = 223271131335099
BaseRepresentation
bin1000111010001000100…
…1000010110101001100
3112122000220112121101100
42032202021002311030
510001413244311434
6154150230543100
714025401454060
oct2164211026514
9478026477340
10153044135244
11599a6474000
12257b2207a90
1311580147810
14759bba5aa0
153eaae90699
hex23a2242d4c

153044135244 has 288 divisors, whose sum is σ = 523730188800. Its totient is φ = 36692853120.

The previous prime is 153044135227. The next prime is 153044135249. The reversal of 153044135244 is 442531440351.

153044135244 is a `hidden beast` number, since 153 + 0 + 4 + 413 + 52 + 44 = 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 = 153044135199 and 153044135208.

It is not an unprimeable number, because it can be changed into a prime (153044135249) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4342807 + ... + 4377905.

It is an arithmetic number, because the mean of its divisors is an integer number (1818507600).

Almost surely, 2153044135244 is an apocalyptic number.

153044135244 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153044135244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261865094400).

153044135244 is an abundant number, since it is smaller than the sum of its proper divisors (370686053556).

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

153044135244 is a wasteful number, since it uses less digits than its factorization.

153044135244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35162 (or 35135 counting only the distinct ones).

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

Adding to 153044135244 its reverse (442531440351), we get a palindrome (595575575595).

The spelling of 153044135244 in words is "one hundred fifty-three billion, forty-four million, one hundred thirty-five thousand, two hundred forty-four".