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144141554435022 = 23317793522156431
BaseRepresentation
bin100000110001100010010010…
…001001100100001111001110
3200220100210112202120121021000
4200301202102021210033032
5122343103400413410042
61230321414351521130
742234612043115064
oct4061422211441716
9626323482517230
10144141554435022
1141a230a9796aa1
12141bb722b291a6
13625764b13c351
1427846ba48c034
15119e6bc8b674c
hex8318922643ce

144141554435022 has 128 divisors (see below), whose sum is σ = 343465557811200. Its totient is φ = 44646404774400.

The previous prime is 144141554434949. The next prime is 144141554435077. The reversal of 144141554435022 is 220534455141441.

144141554435022 is a `hidden beast` number, since 1 + 4 + 4 + 1 + 4 + 1 + 554 + 43 + 50 + 2 + 2 = 666.

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 63 ways as a sum of consecutive naturals, for example, 2554269147 + ... + 2554325577.

It is an arithmetic number, because the mean of its divisors is an integer number (2683324670400).

Almost surely, 2144141554435022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144141554435022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171732778905600).

144141554435022 is an abundant number, since it is smaller than the sum of its proper divisors (199324003376178).

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

144141554435022 is a wasteful number, since it uses less digits than its factorization.

144141554435022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91759 (or 91753 counting only the distinct ones).

The product of its (nonzero) digits is 1536000, while the sum is 45.

It can be divided in two parts, 144141554 and 435022, that added together give a square (144576576 = 120242).

The spelling of 144141554435022 in words is "one hundred forty-four trillion, one hundred forty-one billion, five hundred fifty-four million, four hundred thirty-five thousand, twenty-two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 79 102 153 158 237 306 459 474 711 918 1343 1422 2133 2686 4029 4266 8058 12087 24174 35221 36261 56431 70442 72522 105663 112862 169293 211326 316989 338586 507879 598757 633978 950967 959327 1015758 1197514 1523637 1796271 1901934 1918654 2782459 2877981 3047274 3592542 4458049 5388813 5564918 5755962 8347377 8633943 8916098 10777626 13374147 16166439 16694754 17267886 25042131 25901829 26748294 32332878 40122441 47301803 50084262 51803658 75126393 75786833 80244882 94603606 120367323 141905409 150252786 151573666 227360499 240734646 283810818 425716227 454720998 682081497 851432454 1277148681 1364162994 1987556251 2046244491 2554297362 3975112502 4092488982 5962668753 11925337506 17888006259 33788456267 35776012518 53664018777 67576912534 101365368801 107328037554 157016943829 202730737602 304096106403 314033887658 471050831487 608192212806 912288319209 942101662974 1413152494461 1824576638418 2669288045093 2826304988922 4239457483383 5338576090186 8007864135279 8478914966766 16015728270558 24023592405837 48047184811674 72070777217511 144141554435022