Search a number
-
+
147044532000 = 2535331241311
BaseRepresentation
bin1000100011110010001…
…0010111111100100000
3112001112210020011221210
42020330202113330200
54402121400011000
6151315030350120
713423620620322
oct2107442277440
9461483204853
10147044532000
11573a7894313
12245b8abb340
1310b3518a522
14718d05b612
153c593d5350
hex223c897f20

147044532000 has 576 divisors, whose sum is σ = 511538436864. Its totient is φ = 36902400000.

The previous prime is 147044531971. The next prime is 147044532007. The reversal of 147044532000 is 235440741.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (147044532007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 472811845 + ... + 472812155.

It is an arithmetic number, because the mean of its divisors is an integer number (888087564).

Almost surely, 2147044532000 is an apocalyptic number.

147044532000 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 147044532000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255769218432).

147044532000 is an abundant number, since it is smaller than the sum of its proper divisors (364493904864).

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

147044532000 is a wasteful number, since it uses less digits than its factorization.

147044532000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

Adding to 147044532000 its reverse (235440741), we get a palindrome (147279972741).

The spelling of 147044532000 in words is "one hundred forty-seven billion, forty-four million, five hundred thirty-two thousand".