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334131443103220 = 225723324197423323
BaseRepresentation
bin100101111111001000000100…
…1111110010111010111110100
31121211001122122202201112100121
41023332100021332113113310
5322243402143413300340
63142345511011221324
7130244125434133660
oct11376201176272764
91554048582645317
10334131443103220
1197512392930064
1231584ab42a7844
13114595c94a4c39
145c7209611d8a0
1528967d3eb294a
hex12fe409f975f4

334131443103220 has 96 divisors (see below), whose sum is σ = 805392346606848. Its totient is φ = 114062697311232.

The previous prime is 334131443103187. The next prime is 334131443103281. The reversal of 334131443103220 is 22301344131433.

It is a super-3 number, since 3×3341314431032203 (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 789094479 + ... + 789517801.

It is an arithmetic number, because the mean of its divisors is an integer number (8389503610488).

Almost surely, 2334131443103220 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 334131443103220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402696173303424).

334131443103220 is an abundant number, since it is smaller than the sum of its proper divisors (471260903503628).

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

334131443103220 is a wasteful number, since it uses less digits than its factorization.

334131443103220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447769 (or 447767 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 34.

Adding to 334131443103220 its reverse (22301344131433), we get a palindrome (356432787234653).

The spelling of 334131443103220 in words is "three hundred thirty-four trillion, one hundred thirty-one billion, four hundred forty-three million, one hundred three thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 233 466 932 1165 1631 2330 3262 4660 6524 8155 16310 24197 32620 48394 96788 120985 169379 241970 338758 423323 483940 677516 846646 846895 1693292 1693790 2116615 2963261 3387580 4233230 5637901 5926522 8466460 11275802 11853044 14816305 22551604 28189505 29632610 39465307 56379010 59265220 78930614 98634259 112758020 157861228 197268518 197326535 394537036 394653070 493171295 690439813 789306140 986342590 1380879626 1972685180 2761759252 3452199065 6904398130 10243146631 13808796260 20486293262 40972586524 51215733155 71702026417 102431466310 143404052834 204862932620 286808105668 358510132085 717020264170 1434040528340 2386653165023 4773306330046 9546612660092 11933265825115 16706572155161 23866531650230 33413144310322 47733063300460 66826288620644 83532860775805 167065721551610 334131443103220