Search a number
-
+
998141265 = 335112412789
BaseRepresentation
bin111011011111100…
…110110101010001
32120120011211102000
4323133212311101
54021011010030
6243013344213
733510026562
oct7337466521
92516154360
10998141265
11472474340
1223a338069
1312ba39144
14967c6169
155c965860
hex3b7e6d51

998141265 has 64 divisors (see below), whose sum is σ = 1944518400. Its totient is φ = 481766400.

The previous prime is 998141251. The next prime is 998141273. The reversal of 998141265 is 562141899.

It is not a de Polignac number, because 998141265 - 25 = 998141233 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 998141265.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 356491 + ... + 359279.

It is an arithmetic number, because the mean of its divisors is an integer number (30383100).

Almost surely, 2998141265 is an apocalyptic number.

It is an amenable number.

998141265 is a deficient number, since it is larger than the sum of its proper divisors (946377135).

998141265 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (998141264) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (3049).

998141265 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3055 (or 3049 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The square root of 998141265 is about 31593.3737514688. The cubic root of 998141265 is about 999.3800373925.

The spelling of 998141265 in words is "nine hundred ninety-eight million, one hundred forty-one thousand, two hundred sixty-five".

Divisors: 1 3 5 9 11 15 27 33 45 55 99 135 165 241 297 495 723 1205 1485 2169 2651 2789 3615 6507 7953 8367 10845 13255 13945 23859 25101 30679 32535 39765 41835 71577 75303 92037 119295 125505 153395 276111 357885 376515 460185 672149 828333 1380555 2016447 3360745 4141665 6049341 7393639 10082235 18148023 22180917 30246705 36968195 66542751 90740115 110904585 199628253 332713755 998141265