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11984142323344 = 24172509092
BaseRepresentation
bin1010111001100100011010…
…0010111100111010010000
31120102200011111001122220211
42232121012202330322100
53032322010413321334
641253234453013504
72344553135000032
oct256310642747220
946380144048824
1011984142323344
11390049aa08704
121416735024294
1368c13b278369
142d606d8d7c52
1515bb05b8ea64
hexae6468bce90

11984142323344 has 45 divisors (see below), whose sum is σ = 24665943526747. Its totient is φ = 5639485609472.

The previous prime is 11984142323287. The next prime is 11984142323369. The reversal of 11984142323344 is 44332324148911.

The square root of 11984142323344 is 3461812.

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

It can be written as a sum of positive squares in 4 ways, for example, as 46509235600 + 11937633087744 = 215660^2 + 3455088^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 235377762 + ... + 235428670.

Almost surely, 211984142323344 is an apocalyptic number.

11984142323344 is the 3461812-nd square number.

It is an amenable number.

11984142323344 is an abundant number, since it is smaller than the sum of its proper divisors (12681801203403).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11984142323344 is an frugal number, since it uses more digits than its factorization.

11984142323344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101860 (or 50928 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 49.

Multiplying 11984142323344 by its sum of digits (49), we get a square (587222973843856 = 242326842).

The spelling of 11984142323344 in words is "eleven trillion, nine hundred eighty-four billion, one hundred forty-two million, three hundred twenty-three thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 17 34 68 136 272 289 578 1156 2312 4624 50909 101818 203636 407272 814544 865453 1730906 3461812 6923624 13847248 14712701 29425402 58850804 117701608 235403216 2591726281 5183452562 10366905124 20733810248 41467620496 44059346777 88118693554 176237387108 352474774216 704949548432 749008895209 1498017790418 2996035580836 5992071161672 11984142323344