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152442040005 = 3254129820441
BaseRepresentation
bin1000110111111001000…
…0001110111011000101
3112120110221120222222200
42031332100032323011
54444200130240010
6154010401545113
714004440650263
oct2157620167305
9476427528880
10152442040005
1159717614a32
1225664645199
13114b5497348
147541c35433
153e731abcc0
hex237e40eec5

152442040005 has 24 divisors (see below), whose sum is σ = 264297185880. Its totient is φ = 81282631680.

The previous prime is 152442039949. The next prime is 152442040013. The reversal of 152442040005 is 500040244251.

152442040005 is a `hidden beast` number, since 15 + 244 + 2 + 0 + 400 + 0 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 18948609 + 152423091396 = 4353^2 + 390414^2 .

It is not a de Polignac number, because 152442040005 - 28 = 152442039749 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 224416 + ... + 596025.

It is an arithmetic number, because the mean of its divisors is an integer number (11012382745).

Almost surely, 2152442040005 is an apocalyptic number.

152442040005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

152442040005 is a deficient number, since it is larger than the sum of its proper divisors (111855145875).

152442040005 is a wasteful number, since it uses less digits than its factorization.

152442040005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824581 (or 824578 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

Adding to 152442040005 its reverse (500040244251), we get a palindrome (652482284256).

The spelling of 152442040005 in words is "one hundred fifty-two billion, four hundred forty-two million, forty thousand, five".

Divisors: 1 3 5 9 15 45 4129 12387 20645 37161 61935 185805 820441 2461323 4102205 7383969 12306615 36919845 3387600889 10162802667 16938004445 30488408001 50814013335 152442040005