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20141332303240 = 2353723358407761
BaseRepresentation
bin1001001010001100001001…
…11101010000110110001000
32122022111022002010101212101
410211012010331100312020
510114443422032200430
6110500444511523144
74146106663542121
oct445060475206610
978274262111771
1020141332303240
116465989002335
1223136375294b4
13b3141cbb1135
144d8bba7b9048
1524ddc7a28dca
hex125184f50d88

20141332303240 has 64 divisors (see below), whose sum is σ = 46742563773360. Its totient is φ = 7805145784320.

The previous prime is 20141332303201. The next prime is 20141332303349. The reversal of 20141332303240 is 4230323314102.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 12038804211204 + 8102528092036 = 3469698^2 + 2846494^2 .

It is a super-3 number, since 3×201413323032403 (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20141332303199 and 20141332303208.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28859041 + ... + 29548720.

Almost surely, 220141332303240 is an apocalyptic number.

20141332303240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20141332303240 is an abundant number, since it is smaller than the sum of its proper divisors (26601231470120).

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

20141332303240 is a wasteful number, since it uses less digits than its factorization.

20141332303240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58408042 (or 58408038 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 20141332303240 its reverse (4230323314102), we get a palindrome (24371655617342).

The spelling of 20141332303240 in words is "twenty trillion, one hundred forty-one billion, three hundred thirty-two million, three hundred three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 233 296 370 466 740 932 1165 1480 1864 2330 4660 8621 9320 17242 34484 43105 68968 86210 172420 344840 58407761 116815522 233631044 292038805 467262088 584077610 1168155220 2161087157 2336310440 4322174314 8644348628 10805435785 13609008313 17288697256 21610871570 27218016626 43221743140 54436033252 68045041565 86443486280 108872066504 136090083130 272180166260 503533307581 544360332520 1007066615162 2014133230324 2517666537905 4028266460648 5035333075810 10070666151620 20141332303240