Search a number
-
+
145030096944 = 24343123315493
BaseRepresentation
bin1000011100010001110…
…1111010100000110000
3111212100101201021120000
42013010131322200300
54334010201100234
6150343110150000
713322660324655
oct2070435724060
9455311637500
10145030096944
1156563788457
1224136352300
13108a3a2aa15
14703b6c5c2c
153b8c620899
hex21c477a830

145030096944 has 200 divisors, whose sum is σ = 435187539072. Its totient is φ = 46580106240.

The previous prime is 145030096931. The next prime is 145030096951. The reversal of 145030096944 is 449690030541.

145030096944 is a `hidden beast` number, since 14 + 503 + 0 + 0 + 96 + 9 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 145030096944.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9353262 + ... + 9368754.

Almost surely, 2145030096944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145030096944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217593769536).

145030096944 is an abundant number, since it is smaller than the sum of its proper divisors (290157442128).

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

145030096944 is a wasteful number, since it uses less digits than its factorization.

145030096944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15777 (or 15762 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 145030096944 in words is "one hundred forty-five billion, thirty million, ninety-six thousand, nine hundred forty-four".