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4334334343420 = 22519101502322483
BaseRepresentation
bin111111000100101010011…
…101010111100011111100
3120100100200012202002110011
4333010222131113203330
51032003204042442140
613115055443153004
7625100563016164
oct77045235274374
916310605662404
104334334343420
1114211a98172a4
125a0033975764
13255958c74883
1410dad63d35a4
1577b2ca5ccea
hex3f12a7578fc

4334334343420 has 96 divisors (see below), whose sum is σ = 9678379898880. Its totient is φ = 1625826297600.

The previous prime is 4334334343399. The next prime is 4334334343441. The reversal of 4334334343420 is 243434334334.

It is an interprime number because it is at equal distance from previous prime (4334334343399) and next prime (4334334343441).

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, 192771499 + ... + 192793981.

It is an arithmetic number, because the mean of its divisors is an integer number (100816457280).

Almost surely, 24334334343420 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 4334334343420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4839189949440).

4334334343420 is an abundant number, since it is smaller than the sum of its proper divisors (5344045555460).

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

4334334343420 is a wasteful number, since it uses less digits than its factorization.

4334334343420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27635 (or 27633 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 40.

Adding to 4334334343420 its reverse (243434334334), we get a palindrome (4577768677754).

The spelling of 4334334343420 in words is "four trillion, three hundred thirty-four billion, three hundred thirty-four million, three hundred forty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 101 190 202 380 404 505 1010 1919 2020 3838 5023 7676 9595 10046 19190 20092 22483 25115 38380 44966 50230 89932 95437 100460 112415 190874 224830 381748 427177 449660 477185 507323 854354 954370 1014646 1708708 1908740 2029292 2135885 2270783 2536615 4271770 4541566 5073230 8543540 9083132 9639137 10146460 11353915 19278274 22707830 38556548 43144877 45415660 48195685 86289754 96391370 112932109 172579508 192782740 215724385 225864218 431448770 451728436 564660545 862897540 1129321090 2145710071 2258642180 4291420142 8582840284 10728550355 11406143009 21457100710 22812286018 42914201420 45624572036 57030715045 114061430090 216716717171 228122860180 433433434342 866866868684 1083583585855 2167167171710 4334334343420