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150454051344 = 24342937108193
BaseRepresentation
bin1000110000011111000…
…0101010001000010000
3112101100101211201020000
42030013300222020100
54431112214120334
6153041224250000
713604251223052
oct2140760521020
9471311751200
10150454051344
11588974316a3
12251aa910900
13112596671ac
1473d3bc58d2
153da88bd299
hex2307c2a210

150454051344 has 200 divisors, whose sum is σ = 462652691160. Its totient is φ = 47112855552.

The previous prime is 150454051343. The next prime is 150454051357. The reversal of 150454051344 is 443150454051.

150454051344 is a `hidden beast` number, since 1 + 50 + 4 + 54 + 0 + 513 + 44 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 51568959744 + 98885091600 = 227088^2 + 314460^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 150454051299 and 150454051308.

It is not an unprimeable number, because it can be changed into a prime (150454051343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1336512 + ... + 1444704.

Almost surely, 2150454051344 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 150454051344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231326345580).

150454051344 is an abundant number, since it is smaller than the sum of its proper divisors (312198639816).

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

150454051344 is a wasteful number, since it uses less digits than its factorization.

150454051344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108279 (or 108264 counting only the distinct ones).

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

The spelling of 150454051344 in words is "one hundred fifty billion, four hundred fifty-four million, fifty-one thousand, three hundred forty-four".