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22014303044240 = 2451361652953149
BaseRepresentation
bin1010000000101100110101…
…01101101000001010010000
32212221112202122000021202002
411000112122231220022100
510341140243034403430
6114453121535013132
74431323644264253
oct500263255501220
985845678007662
1022014303044240
11701823917a741
12257662966a1a8
13c38c2ab7c5a0
145616d854b09a
152829988a7845
hex14059ab68290

22014303044240 has 160 divisors (see below), whose sum is σ = 56033676636000. Its totient is φ = 7993731317760.

The previous prime is 22014303044207. The next prime is 22014303044257. The reversal of 22014303044240 is 4244030341022.

It can be written as a sum of positive squares in 16 ways, for example, as 18225658799104 + 3788644245136 = 4269152^2 + 1946444^2 .

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, 414173186 + ... + 414226334.

It is an arithmetic number, because the mean of its divisors is an integer number (350210478975).

Almost surely, 222014303044240 is an apocalyptic number.

22014303044240 is a gapful number since it is divisible by the number (20) 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 22014303044240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28016838318000).

22014303044240 is an abundant number, since it is smaller than the sum of its proper divisors (34019373591760).

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

22014303044240 is a wasteful number, since it uses less digits than its factorization.

22014303044240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59765 (or 59759 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 22014303044240 its reverse (4244030341022), we get a palindrome (26258333385262).

The spelling of 22014303044240 in words is "twenty-two trillion, fourteen billion, three hundred three million, forty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 61 65 80 104 122 130 208 244 260 305 488 520 610 793 976 1040 1220 1586 2440 3172 3965 4880 6344 6529 7930 12688 13058 15860 26116 31720 32645 52232 53149 63440 65290 84877 104464 106298 130580 169754 212596 261160 265745 339508 398269 424385 425192 522320 531490 679016 690937 796538 848770 850384 1062980 1358032 1381874 1593076 1697540 1991345 2125960 2763748 3186152 3242089 3395080 3454685 3982690 4251920 5177497 5527496 6372304 6484178 6790160 6909370 7965380 10354994 11054992 12968356 13818740 15930760 16210445 20709988 25887485 25936712 27637480 31861520 32420890 41419976 42147157 51774970 51873424 55274960 64841780 82839952 84294314 103549940 129683560 168588628 207099880 210735785 259367120 337177256 347009821 414199760 421471570 674354512 694019642 842943140 1388039284 1685886280 1735049105 2776078568 3371772560 3470098210 4511127673 5552157136 6940196420 9022255346 13880392840 18044510692 21167599081 22555638365 27760785680 36089021384 42335198162 45111276730 72178042768 84670396324 90222553460 105837995405 169340792648 180445106920 211675990810 275178788053 338681585296 360890213840 423351981620 550357576106 846703963240 1100715152212 1375893940265 1693407926480 2201430304424 2751787880530 4402860608848 5503575761060 11007151522120 22014303044240