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4244133441040 = 24592215753353
BaseRepresentation
bin111101110000101010000…
…100001110111000010000
3120000201211221211111001221
4331300222010032320100
51024013441130103130
613005421124534424
7615425404006333
oct75605204167020
916021757744057
104244133441040
111396a21757289
1258665b851414
1324a2b264065c
141095ba95a61a
15755edc4987a
hex3dc2a10ee10

4244133441040 has 40 divisors (see below), whose sum is σ = 9868682089368. Its totient is φ = 1697468974080.

The previous prime is 4244133441019. The next prime is 4244133441043. The reversal of 4244133441040 is 401443314424.

It can be written as a sum of positive squares in 4 ways, for example, as 2703367332864 + 1540766108176 = 1644192^2 + 1241276^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 4244133440987 and 4244133441005.

It is not an unprimeable number, because it can be changed into a prime (4244133441043) 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, 2138997 + ... + 3614356.

Almost surely, 24244133441040 is an apocalyptic number.

4244133441040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4244133441040 is an abundant number, since it is smaller than the sum of its proper divisors (5624548648328).

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

4244133441040 is a wasteful number, since it uses less digits than its factorization.

4244133441040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5762587 (or 5762581 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 34.

Adding to 4244133441040 its reverse (401443314424), we get a palindrome (4645576755464).

The spelling of 4244133441040 in words is "four trillion, two hundred forty-four billion, one hundred thirty-three million, four hundred forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 9221 18442 36884 46105 73768 92210 147536 184420 368840 737680 5753353 11506706 23013412 28766765 46026824 57533530 92053648 115067060 230134120 460268240 53051668013 106103336026 212206672052 265258340065 424413344104 530516680130 848826688208 1061033360260 2122066720520 4244133441040