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1124441342244 = 22321119569262649
BaseRepresentation
bin10000010111001101111…
…011010100000100100100
310222111101020202121011200
4100113031323110010210
5121410323440422434
62220321120202500
7144144463465053
oct20271573240444
93874336677150
101124441342244
113a39669071a0
12161b11169430
138205a65c66c
143c5cd58a39a
151e3b15c0199
hex105cded4124

1124441342244 has 144 divisors (see below), whose sum is σ = 3269677320000. Its totient is φ = 322237578240.

The previous prime is 1124441342221. The next prime is 1124441342261. The reversal of 1124441342244 is 4422431444211.

1124441342244 is a `hidden beast` number, since 1 + 12 + 4 + 4 + 413 + 4 + 224 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 = 1124441342199 and 1124441342208.

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, 4149832 + ... + 4412480.

It is an arithmetic number, because the mean of its divisors is an integer number (22706092500).

Almost surely, 21124441342244 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 1124441342244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1634838660000).

1124441342244 is an abundant number, since it is smaller than the sum of its proper divisors (2145235977756).

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

1124441342244 is a wasteful number, since it uses less digits than its factorization.

1124441342244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263258 (or 263253 counting only the distinct ones).

The product of its digits is 98304, while the sum is 36.

Adding to 1124441342244 its reverse (4422431444211), we get a palindrome (5546872786455).

The spelling of 1124441342244 in words is "one trillion, one hundred twenty-four billion, four hundred forty-one million, three hundred forty-two thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 33 36 38 44 57 66 76 99 114 132 171 198 209 228 342 396 418 569 627 684 836 1138 1254 1707 1881 2276 2508 3414 3762 5121 6259 6828 7524 10242 10811 12518 18777 20484 21622 25036 32433 37554 43244 56331 64866 75108 97299 112662 118921 129732 194598 225324 237842 262649 356763 389196 475684 525298 713526 787947 1050596 1070289 1427052 1575894 2140578 2363841 2889139 3151788 4281156 4727682 4990331 5778278 8667417 9455364 9980662 11556556 14970993 17334834 19961324 26002251 29941986 34669668 44912979 52004502 54893641 59883972 89825958 104009004 109787282 149447281 164680923 179651916 219574564 298894562 329361846 448341843 494042769 597789124 658723692 896683686 988085538 1345025529 1643920091 1793367372 1976171076 2690051058 2839498339 3287840182 4931760273 5380102116 5678996678 6575680364 8518495017 9863520546 11357993356 14795280819 17036990034 19727041092 25555485051 29590561638 31234481729 34073980068 51110970102 59181123276 62468963458 93703445187 102221940204 124937926916 187406890374 281110335561 374813780748 562220671122 1124441342244