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141142214400441 = 3499538717502019
BaseRepresentation
bin100000000101111000111011…
…100011010101100110111001
3200111202001201121011001011120
4200011320323203111212321
5121444433223341303231
61220103501013415453
741505121435351302
oct4005707343254671
9614661647131146
10141142214400441
1140a77093506091
12139b638203a589
13609a866272337
1426bd4690ab7a9
15114b676087d96
hex805e3b8d59b9

141142214400441 has 16 divisors (see below), whose sum is σ = 188601767520000. Its totient is φ = 93888805472208.

The previous prime is 141142214400401. The next prime is 141142214400461. The reversal of 141142214400441 is 144004412241141.

It is a happy number.

141142214400441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 141142214400441 - 215 = 141142214367673 is a prime.

It is a super-2 number, since 2×1411422144004412 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (141142214400401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 686671 + ... + 16815348.

It is an arithmetic number, because the mean of its divisors is an integer number (11787610470000).

Almost surely, 2141142214400441 is an apocalyptic number.

It is an amenable number.

141142214400441 is a deficient number, since it is larger than the sum of its proper divisors (47459553119559).

141142214400441 is a wasteful number, since it uses less digits than its factorization.

141142214400441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17507908.

The product of its (nonzero) digits is 16384, while the sum is 33.

Adding to 141142214400441 its reverse (144004412241141), we get a palindrome (285146626641582).

The spelling of 141142214400441 in words is "one hundred forty-one trillion, one hundred forty-two billion, two hundred fourteen million, four hundred thousand, four hundred forty-one".

Divisors: 1 3 499 1497 5387 16161 2688113 8064339 17502019 52506057 8733507481 26200522443 94283376353 282850129059 47047404800147 141142214400441