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320014213000 = 23534315314861
BaseRepresentation
bin1001010100000100101…
…01010101111110001000
31010121000100012101120021
410222002111111332020
520220342114304000
6403002411110224
732056151633506
oct4520225257610
91117010171507
10320014213000
111137987537a9
1252030142374
132423c4418b1
14116bb287676
1584ce7d611a
hex4a82555f88

320014213000 has 128 divisors (see below), whose sum is σ = 766906208640. Its totient is φ = 124921440000.

The previous prime is 320014212997. The next prime is 320014213019. The reversal of 320014213000 is 312410023.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65830570 + ... + 65835430.

It is an arithmetic number, because the mean of its divisors is an integer number (5991454755).

Almost surely, 2320014213000 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 320014213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383453104320).

320014213000 is an abundant number, since it is smaller than the sum of its proper divisors (446891995640).

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

320014213000 is a wasteful number, since it uses less digits than its factorization.

320014213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6456 (or 6442 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 320014213000 its reverse (312410023), we get a palindrome (320326623023).

The spelling of 320014213000 in words is "three hundred twenty billion, fourteen million, two hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 86 100 125 172 200 215 250 344 430 500 860 1000 1075 1531 1720 2150 3062 4300 4861 5375 6124 7655 8600 9722 10750 12248 15310 19444 21500 24305 30620 38275 38888 43000 48610 61240 65833 76550 97220 121525 131666 153100 191375 194440 209023 243050 263332 306200 329165 382750 418046 486100 526664 607625 658330 765500 836092 972200 1045115 1215250 1316660 1531000 1645825 1672184 2090230 2430500 2633320 3291650 4180460 4861000 5225575 6583300 7442191 8229125 8360920 10451150 13166600 14884382 16458250 20902300 26127875 29768764 32916500 37210955 41804600 52255750 59537528 65833000 74421910 104511500 148843820 186054775 209023000 297687640 320014213 372109550 640028426 744219100 930273875 1280056852 1488438200 1600071065 1860547750 2560113704 3200142130 3721095500 6400284260 7442191000 8000355325 12800568520 16000710650 32001421300 40001776625 64002842600 80003553250 160007106500 320014213000