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4495034305944 = 2333713228685099
BaseRepresentation
bin100000101101001010011…
…1011000100110110011000
3120220201110200002000112000
41001122110323010312120
51042121312240242234
613320553521121000
7642520066116360
oct101322473046630
916821420060460
104495034305944
111483373753686
12607201a89160
13267b592397b0
141177bcc719a0
157bdd5bb1899
hex41694ec4d98

4495034305944 has 128 divisors (see below), whose sum is σ = 15367638720000. Its totient is φ = 1185503548032.

The previous prime is 4495034305921. The next prime is 4495034305967.

It is a happy number.

4495034305944 is a `hidden beast` number, since 4 + 4 + 9 + 5 + 0 + 3 + 43 + 0 + 594 + 4 = 666.

4495034305944 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (4495034305921) and next prime (4495034305967).

It is a super-2 number, since 2×44950343059442 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114322894 + ... + 114362205.

It is an arithmetic number, because the mean of its divisors is an integer number (120059677500).

Almost surely, 24495034305944 is an apocalyptic number.

It is an amenable number.

4495034305944 is an abundant number, since it is smaller than the sum of its proper divisors (10872604414056).

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

4495034305944 is a wasteful number, since it uses less digits than its factorization.

4495034305944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228685134 (or 228685124 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 54.

The spelling of 4495034305944 in words is "four trillion, four hundred ninety-five billion, thirty-four million, three hundred five thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 27 28 36 39 42 52 54 56 63 72 78 84 91 104 108 117 126 156 168 182 189 216 234 252 273 312 351 364 378 468 504 546 702 728 756 819 936 1092 1404 1512 1638 2184 2457 2808 3276 4914 6552 9828 19656 228685099 457370198 686055297 914740396 1372110594 1600795693 1829480792 2058165891 2744221188 2972906287 3201591386 4116331782 4802387079 5488442376 5945812574 6174497673 6403182772 8232663564 8918718861 9604774158 11891625148 12348995346 12806365544 14407161237 16465327128 17837437722 19209548316 20810344009 23783250296 24697990692 26756156583 28814322474 35674875444 38419096632 41620688018 43221483711 49395981384 53512313166 57628644948 62431032027 71349750888 80268469749 83241376036 86442967422 107024626332 115257289896 124862064054 160536939498 166482752072 172885934844 187293096081 214049252664 249724128108 321073878996 345771869688 374586192162 499448256216 561879288243 642147757992 749172384324 1123758576486 1498344768648 2247517152972 4495034305944