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4000400440 = 235107934673
BaseRepresentation
bin1110111001110001…
…0100010000111000
3101022210110101202021
43232130110100320
531143100303230
61500542244224
7201063562021
oct35634242070
911283411667
104000400440
111773138073
12937886674
134b9a31a6a
1429d419c48
15186303c7a
hexee714438

4000400440 has 32 divisors (see below), whose sum is σ = 9085031280. Its totient is φ = 1585203712.

The previous prime is 4000400329. The next prime is 4000400449. The reversal of 4000400440 is 440040004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4000400449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 463057 + ... + 471616.

Almost surely, 24000400440 is an apocalyptic number.

4000400440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4000400440 is an abundant number, since it is smaller than the sum of its proper divisors (5084630840).

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

4000400440 is a wasteful number, since it uses less digits than its factorization.

4000400440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934791 (or 934787 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 4000400440 is about 63248.7188803062. The cubic root of 4000400440 is about 1587.4540217737.

Adding to 4000400440 its reverse (440040004), we get a palindrome (4440440444).

The spelling of 4000400440 in words is "four billion, four hundred thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 107 214 428 535 856 1070 2140 4280 934673 1869346 3738692 4673365 7477384 9346730 18693460 37386920 100010011 200020022 400040044 500050055 800080088 1000100110 2000200220 4000400440