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4230111002240 = 27543931694751
BaseRepresentation
bin111101100011100110010…
…000110111111010000000
3112222101122201010210020202
4331203212100313322000
51023301231404032430
612555141451224332
7614421044153504
oct75434620677200
915871581123222
104230111002240
111390a86422492
125839a77480a8
13248b894a62a6
14108a4a4c2304
157507cb82d45
hex3d8e6437e80

4230111002240 has 128 divisors (see below), whose sum is σ = 10140977088000. Its totient is φ = 1687302144000.

The previous prime is 4230111002237. The next prime is 4230111002263. The reversal of 4230111002240 is 422001110324.

4230111002240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 890359865 + ... + 890364615.

It is an arithmetic number, because the mean of its divisors is an integer number (79226383500).

Almost surely, 24230111002240 is an apocalyptic number.

4230111002240 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 4230111002240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5070488544000).

4230111002240 is an abundant number, since it is smaller than the sum of its proper divisors (5910866085760).

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

4230111002240 is a wasteful number, since it uses less digits than its factorization.

4230111002240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8378 (or 8366 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 4230111002240 its reverse (422001110324), we get a palindrome (4652112112564).

The spelling of 4230111002240 in words is "four trillion, two hundred thirty billion, one hundred eleven million, two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 439 640 878 1756 2195 3169 3512 4390 4751 6338 7024 8780 9502 12676 14048 15845 17560 19004 23755 25352 28096 31690 35120 38008 47510 50704 56192 63380 70240 76016 95020 101408 126760 140480 152032 190040 202816 253520 280960 304064 380080 405632 507040 608128 760160 1014080 1391191 1520320 2028160 2085689 2782382 3040640 4171378 5564764 6955955 8342756 10428445 11129528 13911910 15055919 16685512 20856890 22259056 27823820 30111838 33371024 41713780 44518112 55647640 60223676 66742048 75279595 83427560 89036224 111295280 120447352 133484096 150559190 166855120 178072448 222590560 240894704 266968192 301118380 333710240 445181120 481789408 602236760 667420480 890362240 963578816 1204473520 1334840960 1927157632 2408947040 4817894080 6609548441 9635788160 13219096882 26438193764 33047742205 52876387528 66095484410 105752775056 132190968820 211505550112 264381937640 423011100224 528763875280 846022200448 1057527750560 2115055501120 4230111002240