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4104431233320 = 2335114217737353
BaseRepresentation
bin111011101110100011001…
…010100110100100101000
3112112101020212111000112110
4323232203022212210220
51014221333343431240
612421314421442320
7602351426563155
oct73564312464450
915471225430473
104104431233320
111342752479970
125635718703a0
1323a07a685612
14102926ac922c
1571b7424cc80
hex3bba32a6928

4104431233320 has 128 divisors (see below), whose sum is σ = 13435887623040. Its totient is φ = 994776330240.

The previous prime is 4104431233241. The next prime is 4104431233339. The reversal of 4104431233320 is 233321344014.

It is a happy number.

4104431233320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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, 5197764 + ... + 5935116.

It is an arithmetic number, because the mean of its divisors is an integer number (104967872055).

Almost surely, 24104431233320 is an apocalyptic number.

4104431233320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4104431233320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6717943811520).

4104431233320 is an abundant number, since it is smaller than the sum of its proper divisors (9331456389720).

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

4104431233320 is a wasteful number, since it uses less digits than its factorization.

4104431233320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741595 (or 741591 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 4104431233320 its reverse (233321344014), we get a palindrome (4337752577334).

The spelling of 4104431233320 in words is "four trillion, one hundred four billion, four hundred thirty-one million, two hundred thirty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 4217 8434 12651 16868 21085 25302 33736 42170 46387 50604 63255 84340 92774 101208 126510 139161 168680 185548 231935 253020 278322 371096 463870 506040 556644 695805 737353 927740 1113288 1391610 1474706 1855480 2212059 2783220 2949412 3686765 4424118 5566440 5898824 7373530 8110883 8848236 11060295 14747060 16221766 17696472 22120590 24332649 29494120 32443532 40554415 44241180 48665298 64887064 81108830 88482360 97330596 121663245 162217660 194661192 243326490 324435320 486652980 973305960 3109417601 6218835202 9328252803 12437670404 15547088005 18656505606 24875340808 31094176010 34203593611 37313011212 46641264015 62188352020 68407187222 74626022424 93282528030 102610780833 124376704040 136814374444 171017968055 186565056060 205221561666 273628748888 342035936110 373130112120 410443123332 513053904165 684071872220 820886246664 1026107808330 1368143744440 2052215616660 4104431233320