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145154453004 = 2237114213583
BaseRepresentation
bin1000011100101111100…
…0010010111000001100
3111212200001201020000000
42013023320102320030
54334234014444004
6150403311404300
713326030331041
oct2071370227014
9455601636000
10145154453004
11566179a4a60
122416bb23690
13108c371b5a2
1470500171c8
153b984d6c39
hex21cbe12e0c

145154453004 has 192 divisors, whose sum is σ = 416709672960. Its totient is φ = 43869470400.

The previous prime is 145154452997. The next prime is 145154453009. The reversal of 145154453004 is 400354451541.

145154453004 is a `hidden beast` number, since 14 + 51 + 544 + 53 + 0 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 145154453004.

It is not an unprimeable number, because it can be changed into a prime (145154453009) 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 63 ways as a sum of consecutive naturals, for example, 40510197 + ... + 40513779.

It is an arithmetic number, because the mean of its divisors is an integer number (2170362880).

Almost surely, 2145154453004 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 145154453004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208354836480).

145154453004 is an abundant number, since it is smaller than the sum of its proper divisors (271555219956).

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

145154453004 is a wasteful number, since it uses less digits than its factorization.

145154453004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4040 (or 4020 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 145154453004 in words is "one hundred forty-five billion, one hundred fifty-four million, four hundred fifty-three thousand, four".