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141132343410144 = 25321549316360787
BaseRepresentation
bin100000000101101111101111…
…001100011111110111100000
3200111201010020200010210002100
4200011233233030133313200
5121444303014403111034
61220055145320050400
741504322015334032
oct4005575714376740
9614633220123070
10141132343410144
1140a729885a6a69
12139b4488303a00
136099952214988
1426bcbb012bc52
15114b2996b0099
hex805bef31fde0

141132343410144 has 72 divisors (see below), whose sum is σ = 401604202326600. Its totient is φ = 47013743685888.

The previous prime is 141132343410103. The next prime is 141132343410151. The reversal of 141132343410144 is 441014343231141.

141132343410144 is a `hidden beast` number, since 1 + 4 + 1 + 1 + 3 + 234 + 3 + 410 + 1 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×1411323434101443 (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 141132343410099 and 141132343410108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 157734282 + ... + 158626505.

It is an arithmetic number, because the mean of its divisors is an integer number (5577836143425).

Almost surely, 2141132343410144 is an apocalyptic number.

It is an amenable number.

141132343410144 is an abundant number, since it is smaller than the sum of its proper divisors (260471858916456).

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

141132343410144 is a wasteful number, since it uses less digits than its factorization.

141132343410144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316362352 (or 316362341 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Adding to 141132343410144 its reverse (441014343231141), we get a palindrome (582146686641285).

The spelling of 141132343410144 in words is "one hundred forty-one trillion, one hundred thirty-two billion, three hundred forty-three million, four hundred ten thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1549 3098 4647 6196 9294 12392 13941 18588 24784 27882 37176 49568 55764 74352 111528 148704 223056 446112 316360787 632721574 949082361 1265443148 1898164722 2530886296 2847247083 3796329444 5061772592 5694494166 7592658888 10123545184 11388988332 15185317776 22777976664 30370635552 45555953328 91111906656 490042859063 980085718126 1470128577189 1960171436252 2940257154378 3920342872504 4410385731567 5880514308756 7840685745008 8820771463134 11761028617512 15681371490016 17641542926268 23522057235024 35283085852536 47044114470048 70566171705072 141132343410144