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402000444040 = 235132017383281
BaseRepresentation
bin1011101100110010001…
…01111111101010001000
31102102122002202110022211
411312121011333222020
523041244103202130
6504402040354504
741020642252246
oct5663105775210
91372562673284
10402000444040
1114553a852638
1265ab1175a34
132bba6c0c840
1415657b35796
15a6cc347a2a
hex5d9917fa88

402000444040 has 64 divisors (see below), whose sum is σ = 974563475760. Its totient is φ = 148356956160.

The previous prime is 402000444023. The next prime is 402000444047. The reversal of 402000444040 is 40444000204.

It can be written as a sum of positive squares in 8 ways, for example, as 66604254084 + 335396189956 = 258078^2 + 579134^2 .

It is not an unprimeable number, because it can be changed into a prime (402000444047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 857200 + ... + 1240480.

Almost surely, 2402000444040 is an apocalyptic number.

402000444040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

402000444040 is an abundant number, since it is smaller than the sum of its proper divisors (572563031720).

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

402000444040 is a wasteful number, since it uses less digits than its factorization.

402000444040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385322 (or 385318 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

Adding to 402000444040 its reverse (40444000204), we get a palindrome (442444444244).

The spelling of 402000444040 in words is "four hundred two billion, four hundred forty-four thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 2017 4034 8068 10085 16136 20170 26221 40340 52442 80680 104884 131105 209768 262210 383281 524420 766562 1048840 1533124 1916405 3066248 3832810 4982653 7665620 9965306 15331240 19930612 24913265 39861224 49826530 99653060 199306120 773077777 1546155554 3092311108 3865388885 6184622216 7730777770 10050011101 15461555540 20100022202 30923111080 40200044404 50250055505 80400088808 100500111010 201000222020 402000444040