Search a number
-
+
235132040000 = 26541121337101
BaseRepresentation
bin1101101011111011110…
…1100011001101000000
3211110220202102020021002
43122332331203031000
512323022300240000
6300003531351132
722662535235414
oct3327675431500
9743822366232
10235132040000
119079a9a7900
12396a12b24a8
13192329c4020
14b547d5cd44
1561b28d78d5
hex36bef63340

235132040000 has 840 divisors, whose sum is σ = 715843687944. Its totient is φ = 76032000000.

The previous prime is 235132039999. The next prime is 235132040009. The reversal of 235132040000 is 40231532.

It is a happy number.

It can be written as a sum of positive squares in 20 ways, for example, as 193522567744 + 41609472256 = 439912^2 + 203984^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235132040009) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2328039950 + ... + 2328040050.

Almost surely, 2235132040000 is an apocalyptic number.

235132040000 is a gapful number since it is divisible by the number (20) 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 235132040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357921843972).

235132040000 is an abundant number, since it is smaller than the sum of its proper divisors (480711647944).

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

235132040000 is a wasteful number, since it uses less digits than its factorization.

235132040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

Adding to 235132040000 its reverse (40231532), we get a palindrome (235172271532).

The spelling of 235132040000 in words is "two hundred thirty-five billion, one hundred thirty-two million, forty thousand".