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1003144040 = 23526993229
BaseRepresentation
bin111011110010101…
…100001101101000
32120220120222220222
4323302230031220
54023301102130
6243312505212
733600404123
oct7362541550
92526528828
101003144040
11475280a68
1223bb4b208
1312ca9b272
14973293ba
155d102ce5
hex3bcac368

1003144040 has 32 divisors (see below), whose sum is σ = 2265489000. Its totient is φ = 399761664.

The previous prime is 1003144031. The next prime is 1003144063. The reversal of 1003144040 is 404413001.

It can be written as a sum of positive squares in 4 ways, for example, as 787700356 + 215443684 = 28066^2 + 14678^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35855 + ... + 57374.

Almost surely, 21003144040 is an apocalyptic number.

1003144040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1003144040 is an abundant number, since it is smaller than the sum of its proper divisors (1262344960).

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

1003144040 is a wasteful number, since it uses less digits than its factorization.

1003144040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93509 (or 93505 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 1003144040 is about 31672.4492264176. The cubic root of 1003144040 is about 1001.0469169158.

Adding to 1003144040 its reverse (404413001), we get a palindrome (1407557041).

The spelling of 1003144040 in words is "one billion, three million, one hundred forty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 269 538 1076 1345 2152 2690 5380 10760 93229 186458 372916 466145 745832 932290 1864580 3729160 25078601 50157202 100314404 125393005 200628808 250786010 501572020 1003144040