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144542501515044 = 2232831572111460269
BaseRepresentation
bin100000110111010111101100…
…011101010010111100100100
3200221210010110110020121210200
4200313113230131102330210
5122421141020341440134
61231225524123150500
742305564635061253
oct4067275435227444
9627703413217720
10144542501515044
1142068148987656
121426537b375430
1362863b7a49369
142799c7434479a
1511a9d374db499
hex8375ec752f24

144542501515044 has 144 divisors (see below), whose sum is σ = 373892530764480. Its totient is φ = 47072965605120.

The previous prime is 144542501515039. The next prime is 144542501515189. The reversal of 144542501515044 is 440515105245441.

144542501515044 is a `hidden beast` number, since 1 + 4 + 4 + 5 + 4 + 2 + 501 + 51 + 50 + 44 = 666.

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, 98253342 + ... + 99713610.

Almost surely, 2144542501515044 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 144542501515044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186946265382240).

144542501515044 is an abundant number, since it is smaller than the sum of its proper divisors (229350029249436).

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

144542501515044 is a wasteful number, since it uses less digits than its factorization.

144542501515044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1460730 (or 1460725 counting only the distinct ones).

The product of its (nonzero) digits is 1280000, while the sum is 45.

The spelling of 144542501515044 in words is "one hundred forty-four trillion, five hundred forty-two billion, five hundred one million, five hundred fifteen thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 83 157 166 211 249 314 332 422 471 498 628 633 747 844 942 996 1266 1413 1494 1884 1899 2532 2826 2988 3798 5652 7596 13031 17513 26062 33127 35026 39093 52124 52539 66254 70052 78186 99381 105078 117279 132508 156372 157617 198762 210156 234558 298143 315234 397524 469116 596286 630468 1192572 1460269 2749541 2920538 4380807 5499082 5841076 8248623 8761614 10998164 13142421 16497246 17523228 24745869 26284842 32994492 49491738 52569684 98983476 121202327 229262233 242404654 308116759 363606981 458524466 484809308 616233518 687786699 727213962 917048932 924350277 1090820943 1232467036 1375573398 1454427924 1848700554 2063360097 2181641886 2751146796 2773050831 3697401108 4126720194 4363283772 5546101662 8253440388 11092203324 19028765339 25573690997 38057530678 48374331163 51147381994 57086296017 76115061356 76721072991 96748662326 102294763988 114172592034 145122993489 153442145982 171258888051 193497324652 228345184068 230163218973 290245986978 306884291964 342517776102 435368980467 460326437946 580491973956 685035552204 870737960934 920652875892 1741475921868 4015069486529 8030138973058 12045208459587 16060277946116 24090416919174 36135625378761 48180833838348 72271250757522 144542501515044