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214313302984 = 23112937261343
BaseRepresentation
bin1100011110011000010…
…0010111101111001000
3202111011212021210222011
43013212010113233020
512002403201143414
6242242033505304
721324612006214
oct3074604275710
9674155253864
10214313302984
11829872aa620
1235651112234
1317295805c21
14a531031944
155894d42dc4
hex31e6117bc8

214313302984 has 96 divisors (see below), whose sum is σ = 466079443200. Its totient is φ = 91512449280.

The previous prime is 214313302969. The next prime is 214313302997. The reversal of 214313302984 is 489203313412.

214313302984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 3463017 + ... + 3524359.

It is an arithmetic number, because the mean of its divisors is an integer number (4854994200).

Almost surely, 2214313302984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214313302984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233039721600).

214313302984 is an abundant number, since it is smaller than the sum of its proper divisors (251766140216).

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

214313302984 is a wasteful number, since it uses less digits than its factorization.

214313302984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61463 (or 61422 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 40.

The spelling of 214313302984 in words is "two hundred fourteen billion, three hundred thirteen million, three hundred two thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 11 22 29 37 44 58 74 88 116 148 232 296 319 407 638 814 1073 1276 1369 1628 2146 2552 2738 3256 4292 5476 8584 10952 11803 15059 23606 30118 39701 47212 60236 61343 79402 94424 120472 122686 158804 245372 317608 436711 490744 674773 873422 1349546 1746844 1778947 2269691 2699092 3493688 3557894 4539382 5398184 7115788 9078764 14231576 18157528 19568417 24966601 39136834 49933202 65821039 78273668 83978567 99866404 131642078 156547336 167957134 199732808 263284156 335914268 526568312 671828536 724031429 923764237 1448062858 1847528474 2435378443 2896125716 3695056948 4870756886 5792251432 7390113896 9741513772 19483027544 26789162873 53578325746 107156651492 214313302984