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173144253748041 = 32443299012
BaseRepresentation
bin100111010111100101001001…
…101111010101001101001001
3211201001102120202002020121100
4213113211021233111031021
5140143243412424414131
61412125212212132013
751320155005530442
oct4727451157251511
9751042522066540
10173144253748041
115019507a419a64
1217504624307009
13757c5825b88b4
1430a8325ac62c9
151503d2cdc57e6
hex9d7949bd5349

173144253748041 has 27 divisors (see below), whose sum is σ = 250688402928327. Its totient is φ = 115157307236400.

The previous prime is 173144253748019. The next prime is 173144253748069. The reversal of 173144253748041 is 140847352441371.

The square root of 173144253748041 is 13158429.

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

173144253748041 is a `hidden beast` number, since 1 + 7 + 3 + 1 + 442 + 53 + 74 + 80 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 166219882531641 + 6924371216400 = 12892629^2 + 2631420^2 .

It is not a de Polignac number, because 173144253748041 - 215 = 173144253715273 is a prime.

It is a super-2 number, since 2×1731442537480412 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (173144253748001) 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, 17487547191 + ... + 17487557091.

Almost surely, 2173144253748041 is an apocalyptic number.

173144253748041 is the 13158429-th square number.

173144253748041 is the 6579215-th centered octagonal number.

It is an amenable number.

173144253748041 is a deficient number, since it is larger than the sum of its proper divisors (77544149180286).

173144253748041 is an frugal number, since it uses more digits than its factorization.

173144253748041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20694 (or 10347 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 173144253748041 in words is "one hundred seventy-three trillion, one hundred forty-four billion, two hundred fifty-three million, seven hundred forty-eight thousand, forty-one".

Divisors: 1 3 9 443 1329 3987 9901 29703 89109 196249 588747 1766241 4386143 13158429 39475287 98029801 294089403 882268209 1943061349 5829184047 17487552141 43427201843 130281605529 390844816587 19238250416449 57714751249347 173144253748041