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4434242011320 = 2335114378122657
BaseRepresentation
bin100000010000110110101…
…1010111000000010111000
3120200220112221122110212110
41000201231122320002320
51040122311423330240
613233021311212320
7635235436126662
oct100415532700270
916626487573773
104434242011320
11145a608018980
125b74768170a0
132621bb5c6a24
1411489309b532
157a528b09c80
hex4086d6b80b8

4434242011320 has 128 divisors (see below), whose sum is σ = 14849554832640. Its totient is φ = 1049968496640.

The previous prime is 4434242011313. The next prime is 4434242011333. The reversal of 4434242011320 is 231102424344.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent 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, 39004569 + ... + 39118088.

It is an arithmetic number, because the mean of its divisors is an integer number (116012147130).

Almost surely, 24434242011320 is an apocalyptic number.

4434242011320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4434242011320 is an abundant number, since it is smaller than the sum of its proper divisors (10415312821320).

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

4434242011320 is a wasteful number, since it uses less digits than its factorization.

4434242011320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78122725 (or 78122721 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 4434242011320 its reverse (231102424344), we get a palindrome (4665344435664).

The spelling of 4434242011320 in words is "four trillion, four hundred thirty-four billion, two hundred forty-two million, eleven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 43 44 55 60 66 86 88 110 120 129 132 165 172 215 220 258 264 330 344 430 440 473 516 645 660 860 946 1032 1290 1320 1419 1720 1892 2365 2580 2838 3784 4730 5160 5676 7095 9460 11352 14190 18920 28380 56760 78122657 156245314 234367971 312490628 390613285 468735942 624981256 781226570 859349227 937471884 1171839855 1562453140 1718698454 1874943768 2343679710 2578047681 3124906280 3359274251 3437396908 4296746135 4687359420 5156095362 6718548502 6874793816 8593492270 9374718840 10077822753 10312190724 12890238405 13437097004 16796371255 17186984540 20155645506 20624381448 25780476810 26874194008 33592742510 34373969080 36952016761 40311291012 50389113765 51560953620 67185485020 73904033522 80622582024 100778227530 103121907240 110856050283 134370970040 147808067044 184760083805 201556455060 221712100566 295616134088 369520167610 403112910120 443424201132 554280251415 739040335220 886848402264 1108560502830 1478080670440 2217121005660 4434242011320