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142045469668089 = 321323055972
BaseRepresentation
bin100000010011000010001001…
…110000101111001011111001
3200121221102012000021212010100
4200103002021300233023321
5122104233110213334324
61222034442104510013
741630306104426131
oct4023021160571371
9617842160255110
10142045469668089
1141295166567719
1213b2144447b309
136134aa427ac00
142711074947ac1
151164dde27d4c9
hex813089c2f2f9

142045469668089 has 27 divisors (see below), whose sum is σ = 222174410344653. Its totient is φ = 87412310680032.

The previous prime is 142045469668043. The next prime is 142045469668169. The reversal of 142045469668089 is 980866964540241.

The square root of 142045469668089 is 11918283.

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

142045469668089 is a `hidden beast` number, since 1 + 4 + 2 + 0 + 4 + 5 + 469 + 6 + 6 + 80 + 89 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 40080712650489 + 101964757017600 = 6330933^2 + 10097760^2 .

It is not a de Polignac number, because 142045469668089 - 229 = 142044932797177 is a prime.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (142045469668019) 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, 464660239 + ... + 464965835.

Almost surely, 2142045469668089 is an apocalyptic number.

142045469668089 is the 11918283-rd square number.

142045469668089 is the 5959142-nd centered octagonal number.

It is an amenable number.

142045469668089 is a deficient number, since it is larger than the sum of its proper divisors (80128940676564).

142045469668089 is an frugal number, since it uses more digits than its factorization.

142045469668089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611226 (or 305613 counting only the distinct ones).

The product of its (nonzero) digits is 716636160, while the sum is 72.

The spelling of 142045469668089 in words is "one hundred forty-two trillion, forty-five billion, four hundred sixty-nine million, six hundred sixty-eight thousand, eighty-nine".

Divisors: 1 3 9 13 39 117 169 507 1521 305597 916791 2750373 3972761 11918283 35754849 51645893 154937679 464813037 93389526409 280168579227 840505737681 1214063843317 3642191529951 10926574589853 15782829963121 47348489889363 142045469668089