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1144713444 = 2237192393001
BaseRepresentation
bin100010000111010…
…1111000011100100
32221202222110122020
41010032233003210
54321021312234
6305331103140
740236621660
oct10416570344
92852873566
101144713444
11538185176
1227b441ab0
13153207a44
14ac05b8a0
156a769549
hex443af0e4

1144713444 has 96 divisors (see below), whose sum is σ = 3227750400. Its totient is φ = 308448000.

The previous prime is 1144713443. The next prime is 1144713523. The reversal of 1144713444 is 4443174411.

It is a super-2 number, since 2×11447134442 = 2620737737748682272, which contains 22 as substring.

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 (1144713443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 379944 + ... + 382944.

It is an arithmetic number, because the mean of its divisors is an integer number (33622400).

Almost surely, 21144713444 is an apocalyptic number.

1144713444 is a gapful number since it is divisible by the number (14) 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 1144713444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1613875200).

1144713444 is an abundant number, since it is smaller than the sum of its proper divisors (2083036956).

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

1144713444 is a wasteful number, since it uses less digits than its factorization.

1144713444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3273 (or 3271 counting only the distinct ones).

The product of its digits is 21504, while the sum is 33.

The square root of 1144713444 is about 33833.6141137774. The cubic root of 1144713444 is about 1046.0816753940.

Adding to 1144713444 its reverse (4443174411), we get a palindrome (5587887855).

The spelling of 1144713444 in words is "one billion, one hundred forty-four million, seven hundred thirteen thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 114 133 228 239 266 399 478 532 717 798 956 1434 1596 1673 2868 3001 3346 4541 5019 6002 6692 9003 9082 10038 12004 13623 18006 18164 20076 21007 27246 31787 36012 42014 54492 57019 63021 63574 84028 95361 114038 126042 127148 171057 190722 228076 252084 342114 381444 399133 684228 717239 798266 1197399 1434478 1596532 2151717 2394798 2868956 4303434 4789596 5020673 8606868 10041346 13627541 15062019 20082692 27255082 30124038 40882623 54510164 60248076 81765246 95392787 163530492 190785574 286178361 381571148 572356722 1144713444