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141142063460 = 22554135173709
BaseRepresentation
bin1000001101110010111…
…0001111100101100100
3111111022102200201021212
42003130232033211210
54303024332012320
6144501220130552
713124426513246
oct2033456174544
9444272621255
10141142063460
1154949019342
1223430236a58
131040437c7a8
146b8d19a096
153a111159c5
hex20dcb8f964

141142063460 has 48 divisors (see below), whose sum is σ = 297110719920. Its totient is φ = 56321256960.

The previous prime is 141142063421. The next prime is 141142063463. The reversal of 141142063460 is 64360241141.

141142063460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 302481664 + 140839581796 = 17392^2 + 375286^2 .

It is not an unprimeable number, because it can be changed into a prime (141142063463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38052086 + ... + 38055794.

It is an arithmetic number, because the mean of its divisors is an integer number (6189806665).

Almost surely, 2141142063460 is an apocalyptic number.

141142063460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141142063460 is an abundant number, since it is smaller than the sum of its proper divisors (155968656460).

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

141142063460 is a wasteful number, since it uses less digits than its factorization.

141142063460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7776 (or 7774 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The spelling of 141142063460 in words is "one hundred forty-one billion, one hundred forty-two million, sixty-three thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 541 1082 2164 2705 3517 3709 5410 7034 7418 10820 14068 14836 17585 18545 35170 37090 70340 74180 1902697 2006569 3805394 4013138 7610788 8026276 9513485 10032845 13044553 19026970 20065690 26089106 38053940 40131380 52178212 65222765 130445530 260891060 7057103173 14114206346 28228412692 35285515865 70571031730 141142063460