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11444424420 = 223511213121259
BaseRepresentation
bin10101010100010010…
…00000111011100100
31002112120200222221010
422222021000323210
5141414233040140
65131341422220
7553414000602
oct125211007344
932476628833
1011444424420
114943096500
12227486a970
131105021590
147a7d1a872
1546eaca880
hex2aa240ee4

11444424420 has 144 divisors (see below), whose sum is σ = 37932068160. Its totient is φ = 2560968960.

The previous prime is 11444424353. The next prime is 11444424443. The reversal of 11444424420 is 2442444411.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33751 + ... + 155009.

It is an arithmetic number, because the mean of its divisors is an integer number (263417140).

Almost surely, 211444424420 is an apocalyptic number.

11444424420 is a gapful number since it is divisible by the number (10) 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 11444424420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18966034080).

11444424420 is an abundant number, since it is smaller than the sum of its proper divisors (26487643740).

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

11444424420 is a wasteful number, since it uses less digits than its factorization.

11444424420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121306 (or 121293 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

Adding to 11444424420 its reverse (2442444411), we get a palindrome (13886868831).

The spelling of 11444424420 in words is "eleven billion, four hundred forty-four million, four hundred twenty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 13 15 20 22 26 30 33 39 44 52 55 60 65 66 78 110 121 130 132 143 156 165 195 220 242 260 286 330 363 390 429 484 572 605 660 715 726 780 858 1210 1430 1452 1573 1716 1815 2145 2420 2860 3146 3630 4290 4719 6292 7260 7865 8580 9438 15730 18876 23595 31460 47190 94380 121259 242518 363777 485036 606295 727554 1212590 1333849 1455108 1576367 1818885 2425180 2667698 3152734 3637770 4001547 4729101 5335396 6305468 6669245 7275540 7881835 8003094 9458202 13338490 14672339 15763670 16006188 17340037 18916404 20007735 23645505 26676980 29344678 31527340 34680074 40015470 44017017 47291010 52020111 58689356 69360148 73361695 80030940 86700185 88034034 94582020 104040222 146723390 173400370 176068068 190740407 208080444 220085085 260100555 293446780 346800740 381480814 440170170 520201110 572221221 762961628 880340340 953702035 1040402220 1144442442 1907404070 2288884884 2861106105 3814808140 5722212210 11444424420