Search a number
-
+
2442859117416 = 23344663808459
BaseRepresentation
bin100011100011000101101…
…111111111101101101000
322122112110001101222020000
4203203011233333231220
5310010433413224131
65110122312503000
7341330216615124
oct43430557775550
98575401358200
102442859117416
11862013317483
123355386aaa60
1314948c3b0503
1486340c32584
15438273c3ce6
hex238c5bffb68

2442859117416 has 80 divisors (see below), whose sum is σ = 6843743253600. Its totient is φ = 814110738336.

The previous prime is 2442859117373. The next prime is 2442859117459. The reversal of 2442859117416 is 6147119582442.

2442859117416 is a `hidden beast` number, since 2 + 4 + 4 + 2 + 8 + 591 + 1 + 7 + 41 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (2442859117373) and next prime (2442859117459).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2617395 + ... + 3425853.

It is an arithmetic number, because the mean of its divisors is an integer number (85546790670).

Almost surely, 22442859117416 is an apocalyptic number.

It is an amenable number.

2442859117416 is an abundant number, since it is smaller than the sum of its proper divisors (4400884136184).

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

2442859117416 is a wasteful number, since it uses less digits than its factorization.

2442859117416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813140 (or 813127 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The spelling of 2442859117416 in words is "two trillion, four hundred forty-two billion, eight hundred fifty-nine million, one hundred seventeen thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 4663 9326 13989 18652 27978 37304 41967 55956 83934 111912 125901 167868 251802 335736 377703 503604 755406 808459 1007208 1510812 1616918 2425377 3021624 3233836 4850754 6467672 7276131 9701508 14552262 19403016 21828393 29104524 43656786 58209048 65485179 87313572 130970358 174627144 261940716 523881432 3769844317 7539688634 11309532951 15079377268 22619065902 30158754536 33928598853 45238131804 67857197706 90476263608 101785796559 135714395412 203571593118 271428790824 305357389677 407143186236 610714779354 814286372472 1221429558708 2442859117416