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141142311011424 = 25323128294982707
BaseRepresentation
bin100000000101111001000001…
…010011111000010001100000
3200111202001222022221101112010
4200011321001103320101200
5121444433423104331144
61220103514344232520
741505124020500052
oct4005710123702140
9614661868841463
10141142311011424
1140a77132aa2378
12139b63aa46b740
13609a88029a3b8
1426bd477c598d2
15114b67e7bd5b9
hex805e414f8460

141142311011424 has 96 divisors (see below), whose sum is σ = 386637412734720. Its totient is φ = 44998379407872.

The previous prime is 141142311011423. The next prime is 141142311011441. The reversal of 141142311011424 is 424110113241141.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 141142311011391 and 141142311011400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141142311011423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25835079 + ... + 30817785.

It is an arithmetic number, because the mean of its divisors is an integer number (4027473049320).

Almost surely, 2141142311011424 is an apocalyptic number.

It is an amenable number.

141142311011424 is an abundant number, since it is smaller than the sum of its proper divisors (245495101723296).

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

141142311011424 is a wasteful number, since it uses less digits than its factorization.

141142311011424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4995572 (or 4995564 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

Adding to 141142311011424 its reverse (424110113241141), we get a palindrome (565252424252565).

The spelling of 141142311011424 in words is "one hundred forty-one trillion, one hundred forty-two billion, three hundred eleven million, eleven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 552 736 1104 2208 12829 25658 38487 51316 76974 102632 153948 205264 295067 307896 410528 590134 615792 885201 1180268 1231584 1770402 2360536 3540804 4721072 4982707 7081608 9442144 9965414 14163216 14948121 19930828 28326432 29896242 39861656 59792484 79723312 114602261 119584968 159446624 229204522 239169936 343806783 458409044 478339872 687613566 916818088 1375227132 1833636176 2750454264 3667272352 5500908528 11001817056 63923148103 127846296206 191769444309 255692592412 383538888618 511385184824 767077777236 1022770369648 1470232406369 1534155554472 2045540739296 2940464812738 3068311108944 4410697219107 5880929625476 6136622217888 8821394438214 11761859250952 17642788876428 23523718501904 35285577752856 47047437003808 70571155505712 141142311011424