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141110440144 = 2423617386111
BaseRepresentation
bin1000001101101011010…
…1100111000011010000
3111111020020012002020221
42003122311213003100
54302443233041034
6144454130242424
713123563644062
oct2033265470320
9444206162227
10141110440144
115493218a273
1223421726414
13103ca95997b
146b88cc7732
153a0d46abb4
hex20dad670d0

141110440144 has 80 divisors (see below), whose sum is σ = 293940900864. Its totient is φ = 65471155200.

The previous prime is 141110440139. The next prime is 141110440157. The reversal of 141110440144 is 441044011141.

It is a congruent number.

It is an unprimeable number.

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, 1595649 + ... + 1681759.

Almost surely, 2141110440144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141110440144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146970450432).

141110440144 is an abundant number, since it is smaller than the sum of its proper divisors (152830460720).

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

141110440144 is a wasteful number, since it uses less digits than its factorization.

141110440144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86276 (or 86270 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

Adding to 141110440144 its reverse (441044011141), we get a palindrome (582154451285).

The spelling of 141110440144 in words is "one hundred forty-one billion, one hundred ten million, four hundred forty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 23 46 61 73 92 122 146 184 244 292 368 488 584 976 1168 1403 1679 2806 3358 4453 5612 6716 8906 11224 13432 17812 22448 26864 35624 71248 86111 102419 172222 204838 344444 409676 688888 819352 1377776 1638704 1980553 3961106 5252771 6286103 7922212 10505542 12572206 15844424 21011084 25144412 31688848 42022168 50288824 84044336 100577648 120813733 144580369 241627466 289160738 383452283 483254932 578321476 766904566 966509864 1156642952 1533809132 1933019728 2313285904 3067618264 6135236528 8819402509 17638805018 35277610036 70555220072 141110440144