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350557000040 = 23513674148077
BaseRepresentation
bin1010001100111101101…
…00110101000101101000
31020111211220211201210002
411012132310311011220
521220420043000130
6425013233042132
734220062223042
oct5063664650550
91214756751702
10350557000040
11125741318765
1257b349b6348
13270990c0050
1412d77824a92
1591badcab45
hex519ed35168

350557000040 has 32 divisors (see below), whose sum is σ = 849426578280. Its totient is φ = 129436430592.

The previous prime is 350556999973. The next prime is 350557000043. The reversal of 350557000040 is 40000755053.

It can be written as a sum of positive squares in 4 ways, for example, as 250674454276 + 99882545764 = 500674^2 + 316042^2 .

It is a junction number, because it is equal to n+sod(n) for n = 350556999967 and 350557000012.

It is not an unprimeable number, because it can be changed into a prime (350557000043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 337073519 + ... + 337074558.

Almost surely, 2350557000040 is an apocalyptic number.

It is an amenable number.

350557000040 is an abundant number, since it is smaller than the sum of its proper divisors (498869578240).

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

350557000040 is a wasteful number, since it uses less digits than its factorization.

350557000040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674148101 (or 674148097 counting only the distinct ones).

The product of its (nonzero) digits is 10500, while the sum is 29.

Adding to 350557000040 its reverse (40000755053), we get a palindrome (390557755093).

The spelling of 350557000040 in words is "three hundred fifty billion, five hundred fifty-seven million, forty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 674148077 1348296154 2696592308 3370740385 5393184616 6741480770 8763925001 13482961540 17527850002 26965923080 35055700004 43819625005 70111400008 87639250010 175278500020 350557000040