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450431246240 = 2552815195289
BaseRepresentation
bin1101000110111111100…
…10110101111110100000
31121001122022212010020122
412203133302311332200
524334440344334430
6542531504455412
744354051264303
oct6433762657640
91531568763218
10450431246240
111640327720a8
127336861a568
133362483c951
1417b2dcacb3a
15bab4074ee5
hex68dfcb5fa0

450431246240 has 24 divisors (see below), whose sum is σ = 1064143819620. Its totient is φ = 180172498432.

The previous prime is 450431246233. The next prime is 450431246249. The reversal of 450431246240 is 42642134054.

It can be written as a sum of positive squares in 2 ways, for example, as 411019467664 + 39411778576 = 641108^2 + 198524^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 450431246240.

It is not an unprimeable number, because it can be changed into a prime (450431246249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1407597485 + ... + 1407597804.

Almost surely, 2450431246240 is an apocalyptic number.

450431246240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

450431246240 is an abundant number, since it is smaller than the sum of its proper divisors (613712573380).

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

450431246240 is a wasteful number, since it uses less digits than its factorization.

450431246240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2815195304 (or 2815195296 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 35.

The spelling of 450431246240 in words is "four hundred fifty billion, four hundred thirty-one million, two hundred forty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 2815195289 5630390578 11260781156 14075976445 22521562312 28151952890 45043124624 56303905780 90086249248 112607811560 225215623120 450431246240