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141038924712361 = 132232397192
BaseRepresentation
bin100000000100011000101111…
…000000011100100110101001
3200111101012010011101020020121
4200010120233000130212221
5121441240204211243421
61215544215413123241
741464504014446404
oct4004305700344651
9614335104336217
10141038924712361
1140a372aa139705
121399a356629521
136090bb5051100
1426b846b196d3b
151148b2d135d41
hex80462f01c9a9

141038924712361 has 27 divisors (see below), whose sum is σ = 159655456878519. Its totient is φ = 124526216326512.

The previous prime is 141038924712347. The next prime is 141038924712377. The reversal of 141038924712361 is 163217429830141.

The square root of 141038924712361 is 11875981.

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

It can be written as a sum of positive squares in only one way, i.e., 20863746259225 + 120175178453136 = 4567685^2 + 10962444^2 .

It is not a de Polignac number, because 141038924712361 - 245 = 105854552623529 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 141038924712299 and 141038924712308.

It is not an unprimeable number, because it can be changed into a prime (141038924712461) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3550898460 + ... + 3550938178.

Almost surely, 2141038924712361 is an apocalyptic number.

141038924712361 is the 11875981-st square number.

141038924712361 is the 5937991-st centered octagonal number.

It is an amenable number.

141038924712361 is a deficient number, since it is larger than the sum of its proper divisors (18616532166158).

141038924712361 is an frugal number, since it uses more digits than its factorization.

141038924712361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79510 (or 39755 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 52.

The spelling of 141038924712361 in words is "one hundred forty-one trillion, thirty-eight billion, nine hundred twenty-four million, seven hundred twelve thousand, three hundred sixty-one".

Divisors: 1 13 23 169 299 529 3887 6877 39719 89401 516347 913537 6712511 11875981 21011351 154387753 273147563 1577598961 3550918319 20508786493 36284776103 266614224409 471702089339 834549850369 6132127161407 10849148054797 141038924712361