Search a number
-
+
145054033500 = 223531812332293
BaseRepresentation
bin1000011100010111100…
…1001110011001011100
3111212102001202101100010
42013011321032121130
54334032313033000
6150345323203220
713323400640565
oct2070571163134
9455361671303
10145054033500
1156576247332
1224142376510
13108a898bb6c
14704095716c
153b8e79cd50
hex21c5e4e65c

145054033500 has 192 divisors, whose sum is σ = 426739936896. Its totient is φ = 38285568000.

The previous prime is 145054033499. The next prime is 145054033541. The reversal of 145054033500 is 5330450541.

145054033500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63258354 + ... + 63260646.

It is an arithmetic number, because the mean of its divisors is an integer number (2222603838).

Almost surely, 2145054033500 is an apocalyptic number.

145054033500 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 145054033500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213369968448).

145054033500 is an abundant number, since it is smaller than the sum of its proper divisors (281685903396).

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

145054033500 is a wasteful number, since it uses less digits than its factorization.

145054033500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2729 (or 2717 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The spelling of 145054033500 in words is "one hundred forty-five billion, fifty-four million, thirty-three thousand, five hundred".