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141545533138681 = 72592288072
BaseRepresentation
bin100000001011110000100011…
…001110001110011011111001
3200120011121202120111210011111
4200023300203032032123321
5122023040222440414211
61221013041550000321
741546220156150100
oct4013604316163371
9616147676453144
10141545533138681
114111213a410661
1213a605807a60a1
1360c98c03239c9
1426d4ba9d27037
151156dcded6421
hex80bc2338e6f9

141545533138681 has 27 divisors (see below), whose sum is σ = 167498886368709. Its totient is φ = 119264250862008.

The previous prime is 141545533138663. The next prime is 141545533138693. The reversal of 141545533138681 is 186831335545141.

It is a happy number.

The square root of 141545533138681 is 11897291.

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

It is not a de Polignac number, because 141545533138681 - 221 = 141545531041529 is a prime.

It is a super-2 number, since 2×1415455331386812 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (141545533138631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4913566780 + ... + 4913595586.

Almost surely, 2141545533138681 is an apocalyptic number.

141545533138681 is the 11897291-st square number.

141545533138681 is the 5948646-th centered octagonal number.

It is an amenable number.

141545533138681 is a deficient number, since it is larger than the sum of its proper divisors (25953353230028).

141545533138681 is an frugal number, since it uses more digits than its factorization.

141545533138681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57746 (or 28873 counting only the distinct ones).

The product of its digits is 20736000, while the sum is 58.

The spelling of 141545533138681 in words is "one hundred forty-one trillion, five hundred forty-five billion, five hundred thirty-three million, one hundred thirty-eight thousand, six hundred eighty-one".

Divisors: 1 7 49 59 413 2891 3481 24367 28807 170569 201649 1411543 1699613 11897291 83281037 100277167 701940169 829843249 4913581183 5808902743 40662319201 48960751691 342725261837 2399076832859 2888684349769 20220790448383 141545533138681