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1144045532 = 2272171312621
BaseRepresentation
bin100010000110000…
…1011111111011100
32221201201112102202
41010030023333130
54320333424112
6305304511032
740231140500
oct10414137734
92851645382
101144045532
11537869383
1227b17b478
13153032a26
14abd26300
156a6866c2
hex4430bfdc

1144045532 has 72 divisors (see below), whose sum is σ = 2485718928. Its totient is φ = 457766400.

The previous prime is 1144045519. The next prime is 1144045543. The reversal of 1144045532 is 2355404411.

It is a junction number, because it is equal to n+sod(n) for n = 1144045495 and 1144045504.

It is a congruent number.

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, 435182 + ... + 437802.

It is an arithmetic number, because the mean of its divisors is an integer number (34523874).

Almost surely, 21144045532 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 1144045532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1242859464).

1144045532 is an abundant number, since it is smaller than the sum of its proper divisors (1341673396).

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

1144045532 is a wasteful number, since it uses less digits than its factorization.

1144045532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2787 (or 2778 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

The square root of 1144045532 is about 33823.7421347786. The cubic root of 1144045532 is about 1045.8781815440.

Adding to 1144045532 its reverse (2355404411), we get a palindrome (3499449943).

The spelling of 1144045532 in words is "one billion, one hundred forty-four million, forty-five thousand, five hundred thirty-two".

Divisors: 1 2 4 7 14 17 28 34 49 68 98 119 131 196 238 262 476 524 833 917 1666 1834 2227 2621 3332 3668 4454 5242 6419 8908 10484 12838 15589 18347 25676 31178 36694 44557 62356 73388 89114 109123 128429 178228 218246 256858 311899 343351 436492 513716 623798 686702 1247596 1373404 2183293 2403457 4366586 4806914 5836967 8733172 9613828 11673934 16824199 23347868 33648398 40858769 67296796 81717538 163435076 286011383 572022766 1144045532