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450372436240 = 24517332541361
BaseRepresentation
bin1101000110111000100…
…10100000000100010000
31121001111020012021002111
412203130102200010100
524334330320424430
6542522004155104
744352435354466
oct6433422400420
91531436167074
10450372436240
111640025542a1
1273350998a94
13336155bb52c
1417b26160836
15baadd09c2a
hex68dc4a0110

450372436240 has 40 divisors (see below), whose sum is σ = 1053168639768. Its totient is φ = 179107645440.

The previous prime is 450372436237. The next prime is 450372436271. The reversal of 450372436240 is 42634273054.

It can be written as a sum of positive squares in 4 ways, for example, as 79145443584 + 371226992656 = 281328^2 + 609284^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 450372436193 and 450372436202.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 16256841 + ... + 16284520.

Almost surely, 2450372436240 is an apocalyptic number.

450372436240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

450372436240 is an abundant number, since it is smaller than the sum of its proper divisors (602796203528).

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

450372436240 is a wasteful number, since it uses less digits than its factorization.

450372436240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32541547 (or 32541541 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 40.

The spelling of 450372436240 in words is "four hundred fifty billion, three hundred seventy-two million, four hundred thirty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 173 346 692 865 1384 1730 2768 3460 6920 13840 32541361 65082722 130165444 162706805 260330888 325413610 520661776 650827220 1301654440 2603308880 5629655453 11259310906 22518621812 28148277265 45037243624 56296554530 90074487248 112593109060 225186218120 450372436240