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1105248144 = 2437111323003
BaseRepresentation
bin100000111100000…
…1011111110010000
32212000201102102110
41001320023332100
54230420420034
6301401145320
736250311540
oct10170137620
92760642373
101105248144
1151797a320
1226a18b240
13147c9a6b0
14a6b07320
1567070de9
hex41e0bf90

1105248144 has 160 divisors (see below), whose sum is σ = 3833754624. Its totient is φ = 264983040.

The previous prime is 1105248143. The next prime is 1105248161. The reversal of 1105248144 is 4418425011.

It is not an unprimeable number, because it can be changed into a prime (1105248143) 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, 36547 + ... + 59549.

Almost surely, 21105248144 is an apocalyptic number.

1105248144 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 1105248144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1916877312).

1105248144 is an abundant number, since it is smaller than the sum of its proper divisors (2728506480).

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

1105248144 is a wasteful number, since it uses less digits than its factorization.

1105248144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23045 (or 23039 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 1105248144 is about 33245.2725060271. The cubic root of 1105248144 is about 1033.9191947499.

The spelling of 1105248144 in words is "one billion, one hundred five million, two hundred forty-eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 11 12 13 14 16 21 22 24 26 28 33 39 42 44 48 52 56 66 77 78 84 88 91 104 112 132 143 154 156 168 176 182 208 231 264 273 286 308 312 336 364 429 462 528 546 572 616 624 728 858 924 1001 1092 1144 1232 1456 1716 1848 2002 2184 2288 3003 3432 3696 4004 4368 6006 6864 8008 12012 16016 23003 24024 46006 48048 69009 92012 138018 161021 184024 253033 276036 299039 322042 368048 483063 506066 552072 598078 644084 759099 897117 966126 1012132 1104144 1196156 1288168 1518198 1771231 1794234 1932252 2024264 2093273 2392312 2576336 3036396 3289429 3542462 3588468 3864504 4048528 4186546 4784624 5313693 6072792 6279819 6578858 7084924 7176936 7729008 8373092 9868287 10627386 12145584 12559638 13157716 14169848 14353872 16746184 19736574 21254772 23026003 25119276 26315432 28339696 33492368 39473148 42509544 46052006 50238552 52630864 69078009 78946296 85019088 92104012 100477104 138156018 157892592 184208024 276312036 368416048 552624072 1105248144