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2144033424 = 2432138313799
BaseRepresentation
bin111111111001011…
…0101101010010000
312112102101011221100
41333302311222100
513342333032144
6552430024400
7104062661211
oct17762655220
95472334840
102144033424
11a00284055
124ba048100
13282267540
14164a6d408
15c8364269
hex7fcb5a90

2144033424 has 120 divisors (see below), whose sum is σ = 6540206400. Its totient is φ = 651707136.

The previous prime is 2144033371. The next prime is 2144033443. The reversal of 2144033424 is 4243304412.

It is a happy number.

2144033424 is a `hidden beast` number, since 214 + 403 + 3 + 42 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148477 + ... + 162275.

It is an arithmetic number, because the mean of its divisors is an integer number (54501720).

Almost surely, 22144033424 is an apocalyptic number.

2144033424 is a gapful number since it is divisible by the number (24) 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 2144033424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3270103200).

2144033424 is an abundant number, since it is smaller than the sum of its proper divisors (4396172976).

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

2144033424 is a wasteful number, since it uses less digits than its factorization.

2144033424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13909 (or 13900 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 2144033424 is about 46303.7085339825. The cubic root of 2144033424 is about 1289.4678461259.

Adding to 2144033424 its reverse (4243304412), we get a palindrome (6387337836).

The spelling of 2144033424 in words is "two billion, one hundred forty-four million, thirty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 83 104 117 144 156 166 208 234 249 312 332 468 498 624 664 747 936 996 1079 1328 1494 1872 1992 2158 2988 3237 3984 4316 5976 6474 8632 9711 11952 12948 13799 17264 19422 25896 27598 38844 41397 51792 55196 77688 82794 110392 124191 155376 165588 179387 220784 248382 331176 358774 496764 538161 662352 717548 993528 1076322 1145317 1435096 1614483 1987056 2152644 2290634 2870192 3228966 3435951 4305288 4581268 6457932 6871902 8610576 9162536 10307853 12915864 13743804 14889121 18325072 20615706 25831728 27487608 29778242 41231412 44667363 54975216 59556484 82462824 89334726 119112968 134002089 164925648 178669452 238225936 268004178 357338904 536008356 714677808 1072016712 2144033424