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141142330112 = 28782995009
BaseRepresentation
bin1000001101110010111…
…1010000101100000000
3111111022110012021001212
42003130233100230000
54303024414030422
6144501225545252
713124432003540
oct2033457205400
9444273167055
10141142330112
1154949190713
1223430345228
1310404443c84
146b8d229320
153a111699e2
hex20dcbd0b00

141142330112 has 72 divisors (see below), whose sum is σ = 322372730400. Its totient is φ = 60415967232.

The previous prime is 141142330073. The next prime is 141142330123. The reversal of 141142330112 is 211033241141.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1438064 + ... + 1533072.

Almost surely, 2141142330112 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 141142330112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161186365200).

141142330112 is an abundant number, since it is smaller than the sum of its proper divisors (181230400288).

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

141142330112 is an frugal number, since it uses more digits than its factorization.

141142330112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95861 (or 95847 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 141142330112 its reverse (211033241141), we get a palindrome (352175571253).

The spelling of 141142330112 in words is "one hundred forty-one billion, one hundred forty-two million, three hundred thirty thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 829 896 1658 1792 3316 5803 6632 11606 13264 23212 26528 46424 53056 92848 95009 106112 185696 190018 212224 371392 380036 665063 742784 760072 1330126 1485568 1520144 2660252 3040288 5320504 6080576 10641008 12161152 21282016 24322304 42564032 78762461 85128064 157524922 170256128 315049844 551337227 630099688 1102674454 1260199376 2205348908 2520398752 4410697816 5040797504 8821395632 10081595008 17642791264 20163190016 35285582528 70571165056 141142330112