Search a number
-
+
2144241520 = 245474871171
BaseRepresentation
bin111111111001110…
…1000011101110000
312112102202202101121
41333303220131300
513342411212040
6552434312024
7104064516001
oct17763503560
95472682347
102144241520
11a00406433
124ba128614
1328230b185
14164ac51a8
15c83a5c4a
hex7fce8770

2144241520 has 80 divisors (see below), whose sum is σ = 5106244608. Its totient is φ = 837008640.

The previous prime is 2144241499. The next prime is 2144241571. The reversal of 2144241520 is 251424412.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 1830535 + ... + 1831705.

Almost surely, 22144241520 is an apocalyptic number.

2144241520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2144241520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2553122304).

2144241520 is an abundant number, since it is smaller than the sum of its proper divisors (2962003088).

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

2144241520 is a wasteful number, since it uses less digits than its factorization.

2144241520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1718 (or 1712 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

The square root of 2144241520 is about 46305.9555564940. The cubic root of 2144241520 is about 1289.5095625806.

Adding to 2144241520 its reverse (251424412), we get a palindrome (2395665932).

The spelling of 2144241520 in words is "two billion, one hundred forty-four million, two hundred forty-one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 47 80 94 188 235 376 470 487 752 940 974 1171 1880 1948 2342 2435 3760 3896 4684 4870 5855 7792 9368 9740 11710 18736 19480 22889 23420 38960 45778 46840 55037 91556 93680 110074 114445 183112 220148 228890 275185 366224 440296 457780 550370 570277 880592 915560 1100740 1140554 1831120 2201480 2281108 2851385 4402960 4562216 5702770 9124432 11405540 22811080 26803019 45622160 53606038 107212076 134015095 214424152 268030190 428848304 536060380 1072120760 2144241520