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4001403312 = 243273380651
BaseRepresentation
bin1110111010000000…
…1001000110110000
3101022212100100102200
43232200021012300
531143324401222
61501015543200
7201105236604
oct35640110660
911285310380
104001403312
111773762595
1293808ab00
134b9cc338a
1429d5db504
15186450eac
hexee8091b0

4001403312 has 60 divisors (see below), whose sum is σ = 11351803944. Its totient is φ = 1315526400.

The previous prime is 4001403293. The next prime is 4001403319. The reversal of 4001403312 is 2133041004.

It is a super-2 number, since 2×40014033122 = 32022456930569138688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (4001403319) 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 11 ways as a sum of consecutive naturals, for example, 179814 + ... + 200837.

Almost surely, 24001403312 is an apocalyptic number.

It is an amenable number.

4001403312 is an abundant number, since it is smaller than the sum of its proper divisors (7350400632).

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

4001403312 is a wasteful number, since it uses less digits than its factorization.

4001403312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380738 (or 380729 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 4001403312 is about 63256.6463859728. The cubic root of 4001403312 is about 1587.5866651759.

Adding to 4001403312 its reverse (2133041004), we get a palindrome (6134444316).

The spelling of 4001403312 in words is "four billion, one million, four hundred three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 73 144 146 219 292 438 584 657 876 1168 1314 1752 2628 3504 5256 10512 380651 761302 1141953 1522604 2283906 3045208 3425859 4567812 6090416 6851718 9135624 13703436 18271248 27406872 27787523 54813744 55575046 83362569 111150092 166725138 222300184 250087707 333450276 444600368 500175414 666900552 1000350828 1333801104 2000701656 4001403312