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1144721424 = 2437111916301
BaseRepresentation
bin100010000111011…
…0001000000010000
32221202222212120210
41010032301000100
54321022041144
6305331204120
740236654150
oct10416610020
92852885523
101144721424
11538190170
1227b446640
1315320b572
14ac060760
156a76bab9
hex443b1010

1144721424 has 160 divisors (see below), whose sum is σ = 3881180160. Its totient is φ = 281664000.

The previous prime is 1144721387. The next prime is 1144721449. The reversal of 1144721424 is 4241274411.

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

It is a junction number, because it is equal to n+sod(n) for n = 1144721391 and 1144721400.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62074 + ... + 78374.

It is an arithmetic number, because the mean of its divisors is an integer number (24257376).

Almost surely, 21144721424 is an apocalyptic number.

1144721424 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 1144721424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1940590080).

1144721424 is an abundant number, since it is smaller than the sum of its proper divisors (2736458736).

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

1144721424 is a wasteful number, since it uses less digits than its factorization.

1144721424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16349 (or 16343 counting only the distinct ones).

The product of its digits is 7168, while the sum is 30.

The square root of 1144721424 is about 33833.7320436277. The cubic root of 1144721424 is about 1046.0841061952.

Adding to 1144721424 its reverse (4241274411), we get a palindrome (5385995835).

The spelling of 1144721424 in words is "one billion, one hundred forty-four million, seven hundred twenty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 19 21 22 24 28 33 38 42 44 48 56 57 66 76 77 84 88 112 114 132 133 152 154 168 176 209 228 231 264 266 304 308 336 399 418 456 462 528 532 616 627 798 836 912 924 1064 1232 1254 1463 1596 1672 1848 2128 2508 2926 3192 3344 3696 4389 5016 5852 6384 8778 10032 11704 16301 17556 23408 32602 35112 48903 65204 70224 97806 114107 130408 179311 195612 228214 260816 309719 342321 358622 391224 456428 537933 619438 684642 717244 782448 912856 929157 1075866 1238876 1255177 1369284 1434488 1825712 1858314 2151732 2168033 2477752 2510354 2738568 2868976 3406909 3716628 3765531 4303464 4336066 4955504 5020708 5477136 6504099 6813818 7433256 7531062 8606928 8672132 10041416 10220727 13008198 13627636 14866512 15062124 17344264 20082832 20441454 23848363 26016396 27255272 30124248 34688528 40882908 47696726 52032792 54510544 60248496 71545089 81765816 95393452 104065584 143090178 163531632 190786904 286180356 381573808 572360712 1144721424