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4144924640 = 25559439081
BaseRepresentation
bin1111011100001110…
…1000011111100000
3101200212101222200102
43313003220133200
531442100042030
61523144041532
7204500164253
oct36703503740
911625358612
104144924640
11183777a25a
129781632a8
1351096443c
142b46bb09a
15193d50c45
hexf70e87e0

4144924640 has 48 divisors (see below), whose sum is σ = 9958379760. Its totient is φ = 1629864960.

The previous prime is 4144924601. The next prime is 4144924669. The reversal of 4144924640 is 464294414.

It is a junction number, because it is equal to n+sod(n) for n = 4144924594 and 4144924603.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 210101 + ... + 228980.

It is an arithmetic number, because the mean of its divisors is an integer number (207466245).

Almost surely, 24144924640 is an apocalyptic number.

4144924640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4144924640 is an abundant number, since it is smaller than the sum of its proper divisors (5813455120).

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

4144924640 is a wasteful number, since it uses less digits than its factorization.

4144924640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439155 (or 439147 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 38.

The square root of 4144924640 is about 64381.0891489108. The cubic root of 4144924640 is about 1606.3451990996.

The spelling of 4144924640 in words is "four billion, one hundred forty-four million, nine hundred twenty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 59 80 118 160 236 295 472 590 944 1180 1888 2360 4720 9440 439081 878162 1756324 2195405 3512648 4390810 7025296 8781620 14050592 17563240 25905779 35126480 51811558 70252960 103623116 129528895 207246232 259057790 414492464 518115580 828984928 1036231160 2072462320 4144924640