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1134444431340 = 2233511190983911
BaseRepresentation
bin10000100000100010001…
…010000100011111101100
311000110012101100011202000
4100200202022010133230
5122041320233300330
62225053453132300
7144650406364113
oct20404212043754
94013171304660
101134444431340
113a812a341080
12163a4318a090
1382c92b8bbac
143cc9bcb4c7a
151e79988d560
hex108222847ec

1134444431340 has 96 divisors (see below), whose sum is σ = 3850235665920. Its totient is φ = 275016830400.

The previous prime is 1134444431291. The next prime is 1134444431401. The reversal of 1134444431340 is 431344444311.

1134444431340 is a `hidden beast` number, since 1 + 134 + 44 + 443 + 1 + 3 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1134444431295 and 1134444431304.

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, 95486016 + ... + 95497895.

It is an arithmetic number, because the mean of its divisors is an integer number (40106621520).

Almost surely, 21134444431340 is an apocalyptic number.

1134444431340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1134444431340 is an abundant number, since it is smaller than the sum of its proper divisors (2715791234580).

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

1134444431340 is a wasteful number, since it uses less digits than its factorization.

1134444431340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190983940 (or 190983932 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 1134444431340 its reverse (431344444311), we get a palindrome (1565788875651).

The spelling of 1134444431340 in words is "one trillion, one hundred thirty-four billion, four hundred forty-four million, four hundred thirty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 108 110 132 135 165 180 198 220 270 297 330 396 495 540 594 660 990 1188 1485 1980 2970 5940 190983911 381967822 572951733 763935644 954919555 1145903466 1718855199 1909839110 2100823021 2291806932 2864758665 3437710398 3819678220 4201646042 5156565597 5729517330 6302469063 6875420796 8403292084 8594275995 10313131194 10504115105 11459034660 12604938126 17188551990 18907407189 20626262388 21008230210 25209876252 25782827985 31512345315 34377103980 37814814378 42016460420 51565655970 56722221567 63024690630 75629628756 94537035945 103131311940 113444443134 126049381260 189074071890 226888886268 283611107835 378148143780 567222215670 1134444431340