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141132124333000 = 23532910289472993
BaseRepresentation
bin100000000101101111100010…
…001000110010001111001000
3200111201002200101220111202001
4200011233202020302033020
5121444302042312124000
61220055111452320344
741504313415243123
oct4005574210621710
9614632611814661
10141132124333000
1140a72885974079
12139b4426a730b4
136099918a0b328
1426bcb8cdc13ba
15114b28533846a
hex805be22323c8

141132124333000 has 128 divisors (see below), whose sum is σ = 341670999852000. Its totient is φ = 54500786995200.

The previous prime is 141132124332989. The next prime is 141132124333019. The reversal of 141132124333000 is 333421231141.

It can be written as a sum of positive squares in 16 ways, for example, as 18437113471716 + 122695010861284 = 4293846^2 + 11076778^2 .

It is a super-3 number, since 3×1411321243330003 (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 141132124333000.

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, 298144504 + ... + 298617496.

Almost surely, 2141132124333000 is an apocalyptic number.

141132124333000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141132124333000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170835499926000).

141132124333000 is an abundant number, since it is smaller than the sum of its proper divisors (200538875519000).

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

141132124333000 is a wasteful number, since it uses less digits than its factorization.

141132124333000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483332 (or 483318 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 141132124333000 its reverse (333421231141), we get a palindrome (141465545564141).

The spelling of 141132124333000 in words is "one hundred forty-one trillion, one hundred thirty-two billion, one hundred twenty-four million, three hundred thirty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 125 145 200 232 250 290 500 580 725 1000 1160 1450 2900 3625 5800 7250 10289 14500 20578 29000 41156 51445 82312 102890 205780 257225 298381 411560 472993 514450 596762 945986 1028900 1193524 1286125 1491905 1891972 2057800 2364965 2387048 2572250 2983810 3783944 4729930 5144500 5967620 7459525 9459860 10289000 11824825 11935240 13716797 14919050 18919720 23649650 27433594 29838100 37297625 47299300 54867188 59124125 59676200 68583985 74595250 94598600 109734376 118248250 137167970 149190500 236496500 274335940 298381000 342919925 472993000 548671880 685839850 1371679700 1714599625 2743359400 3429199250 4866624977 6858398500 9733249954 13716797000 19466499908 24333124885 38932999816 48666249770 97332499540 121665624425 141132124333 194664999080 243331248850 282264248666 486662497700 564528497332 608328122125 705660621665 973324995400 1129056994664 1216656244250 1411321243330 2433312488500 2822642486660 3528303108325 4866624977000 5645284973320 7056606216650 14113212433300 17641515541625 28226424866600 35283031083250 70566062166500 141132124333000