Search a number
-
+
132435142000 = 2453723733623
BaseRepresentation
bin111101101010110111…
…1111110010101110000
3110122211122002021110021
41323111233332111300
54132211344021000
6140501224413224
712365603063500
oct1732557762560
9418748067407
10132435142000
1151190204387
1221800317214
13c647545a65
1465a4a75a00
1536a1a2c11a
hex1ed5bfe570

132435142000 has 240 divisors, whose sum is σ = 373612105152. Its totient is φ = 45272102400.

The previous prime is 132435141997. The next prime is 132435142033. The reversal of 132435142000 is 241534231.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36552189 + ... + 36555811.

Almost surely, 2132435142000 is an apocalyptic number.

132435142000 is a gapful number since it is divisible by the number (10) 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 132435142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186806052576).

132435142000 is an abundant number, since it is smaller than the sum of its proper divisors (241176963152).

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

132435142000 is a wasteful number, since it uses less digits than its factorization.

132435142000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4033 (or 4010 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 132435142000 its reverse (241534231), we get a palindrome (132676676231).

The spelling of 132435142000 in words is "one hundred thirty-two billion, four hundred thirty-five million, one hundred forty-two thousand".