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4244264448640 = 27515742239893
BaseRepresentation
bin111101110000110001110…
…111111111001010000000
3120000202012002100100201021
4331300301313333022000
51024014223144324030
613005442124515224
7615431554364566
oct75606167771200
916022162310637
104244264448640
111396a896a7227
125866976abb14
1324a30381c948
141095d00dda36
157560a4c697a
hex3dc31dff280

4244264448640 has 64 divisors (see below), whose sum is σ = 10211071975560. Its totient is φ = 1686892326912.

The previous prime is 4244264448623. The next prime is 4244264448643. The reversal of 4244264448640 is 468444624424.

It can be written as a sum of positive squares in 4 ways, for example, as 3036041395776 + 1208223052864 = 1742424^2 + 1099192^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (4244264448643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21019467 + ... + 21220426.

Almost surely, 24244264448640 is an apocalyptic number.

4244264448640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4244264448640 is an abundant number, since it is smaller than the sum of its proper divisors (5966807526920).

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

4244264448640 is a wasteful number, since it uses less digits than its factorization.

4244264448640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42240069 (or 42240057 counting only the distinct ones).

The product of its (nonzero) digits is 18874368, while the sum is 52.

The spelling of 4244264448640 in words is "four trillion, two hundred forty-four billion, two hundred sixty-four million, four hundred forty-eight thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 157 160 314 320 628 640 785 1256 1570 2512 3140 5024 6280 10048 12560 20096 25120 50240 100480 42239893 84479786 168959572 211199465 337919144 422398930 675838288 844797860 1351676576 1689595720 2703353152 3379191440 5406706304 6631663201 6758382880 13263326402 13516765760 26526652804 27033531520 33158316005 53053305608 66316632010 106106611216 132633264020 212213222432 265266528040 424426444864 530533056080 848852889728 1061066112160 2122132224320 4244264448640