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1400064040 = 235257136193
BaseRepresentation
bin101001101110011…
…0100100000101000
310121120110121210201
41103130310200220
510331404022130
6350532121544
746460230234
oct12334644050
93546417721
101400064040
11659332921
12330a662b4
131940a197b
14d3d2b5c4
1582da8bca
hex53734828

1400064040 has 32 divisors (see below), whose sum is σ = 3162424680. Its totient is φ = 557842432.

The previous prime is 1400063999. The next prime is 1400064049. The reversal of 1400064040 is 404600041.

It can be written as a sum of positive squares in 4 ways, for example, as 1166768964 + 233295076 = 34158^2 + 15274^2 .

It is a super-2 number, since 2×14000640402 = 3920358632202243200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1400063999 and 1400064017.

It is not an unprimeable number, because it can be changed into a prime (1400064049) by changing a digit.

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, 57817 + ... + 78376.

Almost surely, 21400064040 is an apocalyptic number.

1400064040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1400064040 is an abundant number, since it is smaller than the sum of its proper divisors (1762360640).

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

1400064040 is a wasteful number, since it uses less digits than its factorization.

1400064040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136461 (or 136457 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 1400064040 is about 37417.4296284499. The cubic root of 1400064040 is about 1118.7059991641.

Adding to 1400064040 its reverse (404600041), we get a palindrome (1804664081).

The spelling of 1400064040 in words is "one billion, four hundred million, sixty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 257 514 1028 1285 2056 2570 5140 10280 136193 272386 544772 680965 1089544 1361930 2723860 5447720 35001601 70003202 140006404 175008005 280012808 350016010 700032020 1400064040