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141131512423040 = 2751572655752889
BaseRepresentation
bin100000000101101110111101…
…101010100010001010000000
3200111201001002202111021002012
4200011232331222202022000
5121444244314140014130
61220054531033112052
741504262305141066
oct4005567552421200
9614631082437065
10141131512423040
1140a725a1521067
12139b4295b58628
13609984c002729
1426bcb31a18036
15114b24b766995
hex805bbdaa2280

141131512423040 has 128 divisors (see below), whose sum is σ = 339560724358800. Its totient is φ = 56089861521408.

The previous prime is 141131512423009. The next prime is 141131512423043. The reversal of 141131512423040 is 40324215131141.

It can be written as a sum of positive squares in 8 ways, for example, as 55883518878784 + 85247993544256 = 7475528^2 + 9232984^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 141131512422988 and 141131512423006.

It is not an unprimeable number, because it can be changed into a prime (141131512423043) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2668420916 + ... + 2668473804.

Almost surely, 2141131512423040 is an apocalyptic number.

141131512423040 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 141131512423040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169780362179400).

141131512423040 is an abundant number, since it is smaller than the sum of its proper divisors (198429211935760).

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

141131512423040 is a wasteful number, since it uses less digits than its factorization.

141131512423040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79622 (or 79610 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

Adding to 141131512423040 its reverse (40324215131141), we get a palindrome (181455727554181).

The spelling of 141131512423040 in words is "one hundred forty-one trillion, one hundred thirty-one billion, five hundred twelve million, four hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 157 160 314 320 628 640 785 1256 1570 2512 3140 5024 6280 10048 12560 20096 25120 26557 50240 52889 53114 100480 105778 106228 132785 211556 212456 264445 265570 423112 424912 528890 531140 846224 849824 1057780 1062280 1692448 1699648 2115560 2124560 3384896 3399296 4169449 4231120 4249120 6769792 8303573 8338898 8462240 8498240 16607146 16677796 16924480 16996480 20847245 33214292 33355592 33848960 41517865 41694490 66428584 66711184 83035730 83388980 132857168 133422368 166071460 166777960 265714336 266844736 332142920 333555920 531428672 533689472 664285840 667111840 1062857344 1328571680 1334223680 1404573173 2657143360 2668447360 2809146346 5314286720 5618292692 7022865865 11236585384 14045731730 22473170768 28091463460 44946341536 56182926920 89892683072 112365853840 179785366144 220517988161 224731707680 441035976322 449463415360 882071952644 898926830720 1102589940805 1764143905288 2205179881610 3528287810576 4410359763220 7056575621152 8820719526440 14113151242304 17641439052880 28226302484608 35282878105760 70565756211520 141131512423040