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141542677803241 = 11213227123072
BaseRepresentation
bin100000001011101101111001…
…000001111111000011101001
3200120011100101120200201022001
4200023231321001333003221
5122023013401004200431
61221011450350131001
741546056335203011
oct4013557101770351
9616140346621261
10141542677803241
1141110a04678900
1213a5bb044b0a61
1360c95568c0a00
1426d49b8a1ac41
151156cb34bae61
hex80bb7907f0e9

141542677803241 has 81 divisors (see below), whose sum is σ = 169644780551799. Its totient is φ = 117953312162400.

The previous prime is 141542677803223. The next prime is 141542677803251. The reversal of 141542677803241 is 142308776245141.

It is a happy number.

The square root of 141542677803241 is 11897171.

It is a perfect power (a square), and thus also a powerful number.

141542677803241 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 only one way, i.e., 20938265947225 + 120604411856016 = 4575835^2 + 10982004^2 .

It is a de Polignac number, because none of the positive numbers 2k-141542677803241 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (141542677803251) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 461051067610 + ... + 461051067916.

Almost surely, 2141542677803241 is an apocalyptic number.

141542677803241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

141542677803241 is the 11897171-st square number.

141542677803241 is the 5948586-th centered octagonal number.

It is an amenable number.

141542677803241 is a deficient number, since it is larger than the sum of its proper divisors (28102102748558).

141542677803241 is an frugal number, since it uses more digits than its factorization.

141542677803241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1204 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 55.

The spelling of 141542677803241 in words is "one hundred forty-one trillion, five hundred forty-two billion, six hundred seventy-seven million, eight hundred three thousand, two hundred forty-one".

Divisors: 1 11 13 121 143 169 271 307 1573 1859 2981 3377 3523 3991 20449 32791 37147 38753 43901 45799 51883 73441 83197 94249 426283 482911 503789 570713 807851 915167 954733 1036739 1081561 1225237 5541679 6277843 8886361 10066837 10502063 11404129 11897171 12411529 13477607 14060293 15928081 22546387 25541479 115522693 130868881 136526819 148253677 154663223 175208891 248010257 280956269 293103031 332039227 1501795009 1701295453 1927297801 2728112827 3090518959 3224133341 3652431497 3810339403 4316509951 6921740809 35465466751 40176746467 41913733433 47481609461 76139148899 89982630517 461051067763 522297704071 837530637889 989808935687 1169774196721 10887898292557 12867516163931 141542677803241