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244261560640 = 2654118617497
BaseRepresentation
bin1110001101111100011…
…1111010000101000000
3212100111000012221012011
43203133013322011000
513000221424420030
6304113500542304
723435013002566
oct3433707720500
9770430187164
10244261560640
1194655312889
123b40a851994
131a059252846
14bb7264ba36
15654914ab2a
hex38df1fa140

244261560640 has 56 divisors (see below), whose sum is σ = 595834405992. Its totient is φ = 95321579520.

The previous prime is 244261560601. The next prime is 244261560667. The reversal of 244261560640 is 46065162442.

It is a happy number.

244261560640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1780164864 + 242481395776 = 42192^2 + 492424^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 244261560593 and 244261560602.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9295629 + ... + 9321868.

It is an arithmetic number, because the mean of its divisors is an integer number (10639900107).

Almost surely, 2244261560640 is an apocalyptic number.

244261560640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

244261560640 is an abundant number, since it is smaller than the sum of its proper divisors (351572845352).

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

244261560640 is a wasteful number, since it uses less digits than its factorization.

244261560640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18617555 (or 18617545 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 40.

The spelling of 244261560640 in words is "two hundred forty-four billion, two hundred sixty-one million, five hundred sixty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 64 80 82 160 164 205 320 328 410 656 820 1312 1640 2624 3280 6560 13120 18617497 37234994 74469988 93087485 148939976 186174970 297879952 372349940 595759904 744699880 763317377 1191519808 1489399760 1526634754 2978799520 3053269508 3816586885 5957599040 6106539016 7633173770 12213078032 15266347540 24426156064 30532695080 48852312128 61065390160 122130780320 244261560640