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1143413424 = 243231673823
BaseRepresentation
bin100010000100111…
…0001101010110000
32221200112102100100
41010021301222300
54320203212144
6305243152400
740222565556
oct10411615260
92850472310
101143413424
1153747747a
1227ab15700
13152b710ba
14abbddbd6
156a5ae269
hex44271ab0

1143413424 has 120 divisors (see below), whose sum is σ = 3353372672. Its totient is φ = 363242880.

The previous prime is 1143413423. The next prime is 1143413437. The reversal of 1143413424 is 4243143411.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1143413423) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 297177 + ... + 300999.

Almost surely, 21143413424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1143413424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1676686336).

1143413424 is an abundant number, since it is smaller than the sum of its proper divisors (2209959248).

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

1143413424 is a wasteful number, since it uses less digits than its factorization.

1143413424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3935 (or 3926 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 1143413424 is about 33814.3966972649. The cubic root of 1143413424 is about 1045.6855231976.

Adding to 1143413424 its reverse (4243143411), we get a palindrome (5386556835).

The spelling of 1143413424 in words is "one billion, one hundred forty-three million, four hundred thirteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 67 72 93 124 134 144 186 201 248 268 279 372 402 496 536 558 603 744 804 1072 1116 1206 1488 1608 2077 2232 2412 3216 3823 4154 4464 4824 6231 7646 8308 9648 11469 12462 15292 16616 18693 22938 24924 30584 33232 34407 37386 45876 49848 61168 68814 74772 91752 99696 118513 137628 149544 183504 237026 256141 275256 299088 355539 474052 512282 550512 711078 768423 948104 1024564 1066617 1422156 1536846 1896208 2049128 2133234 2305269 2844312 3073692 4098256 4266468 4610538 5688624 6147384 7940371 8532936 9221076 12294768 15880742 17065872 18442152 23821113 31761484 36884304 47642226 63522968 71463339 95284452 127045936 142926678 190568904 285853356 381137808 571706712 1143413424