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213114442304 = 263726593691
BaseRepresentation
bin1100011001111010011…
…1000101001001000000
3202101002022102101021202
43012132213011021000
511442424244123204
6241523050040332
721253113604451
oct3063647051100
9671068371252
10213114442304
1182421601875
12353777190a8
13171343201ca
14a459b1b128
15582497ee1e
hex319e9c5240

213114442304 has 84 divisors (see below), whose sum is σ = 435415060080. Its totient is φ = 103491924480.

The previous prime is 213114442243. The next prime is 213114442397. The reversal of 213114442304 is 403244411312.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57737099 + ... + 57740789.

It is an arithmetic number, because the mean of its divisors is an integer number (5183512620).

Almost surely, 2213114442304 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 213114442304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217707530040).

213114442304 is an abundant number, since it is smaller than the sum of its proper divisors (222300617776).

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

213114442304 is an equidigital number, since it uses as much as digits as its factorization.

213114442304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4436 (or 4389 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 213114442304 its reverse (403244411312), we get a palindrome (616358853616).

The spelling of 213114442304 in words is "two hundred thirteen billion, one hundred fourteen million, four hundred forty-two thousand, three hundred four".

Divisors: 1 2 4 8 16 32 37 64 74 148 296 592 659 1184 1318 1369 2368 2636 2738 3691 5272 5476 7382 10544 10952 14764 21088 21904 24383 29528 42176 43808 48766 59056 87616 97532 118112 136567 195064 236224 273134 390128 546268 780256 902171 1092536 1560512 1804342 2185072 2432369 3608684 4370144 4864738 5052979 7217368 8740288 9729476 10105958 14434736 19458952 20211916 28869472 38917904 40423832 57738944 77835808 80847664 89997653 155671616 161695328 179995306 323390656 359990612 719981224 1439962448 2879924896 3329913161 5759849792 6659826322 13319652644 26639305288 53278610576 106557221152 213114442304