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22343242033440 = 25355574671863
BaseRepresentation
bin1010001010010001100010…
…00000010010100100100000
32221002222210221202021200000
411011020301000102210200
510412032424430032230
6115304202123100000
74464150236460546
oct505106100224440
987088727667600
1022343242033440
117134796705939
12260a32a671600
13c60c602c4033
145735c0c27d96
1528b2eb95bb60
hex145231012920

22343242033440 has 144 divisors (see below), whose sum is σ = 79070251111488. Its totient is φ = 5958197865216.

The previous prime is 22343242033417. The next prime is 22343242033459. The reversal of 22343242033440 is 4433024234322.

22343242033440 is a `hidden beast` number, since 2 + 2 + 3 + 4 + 3 + 2 + 4 + 203 + 3 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 22343242033395 and 22343242033404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 287297052 + ... + 287374811.

It is an arithmetic number, because the mean of its divisors is an integer number (549098966052).

Almost surely, 222343242033440 is an apocalyptic number.

22343242033440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22343242033440 is an abundant number, since it is smaller than the sum of its proper divisors (56727009078048).

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

22343242033440 is an equidigital number, since it uses as much as digits as its factorization.

22343242033440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574671893 (or 574671873 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 36.

Adding to 22343242033440 its reverse (4433024234322), we get a palindrome (26776266267762).

The spelling of 22343242033440 in words is "twenty-two trillion, three hundred forty-three billion, two hundred forty-two million, thirty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 81 90 96 108 120 135 144 160 162 180 216 240 243 270 288 324 360 405 432 480 486 540 648 720 810 864 972 1080 1215 1296 1440 1620 1944 2160 2430 2592 3240 3888 4320 4860 6480 7776 9720 12960 19440 38880 574671863 1149343726 1724015589 2298687452 2873359315 3448031178 4597374904 5172046767 5746718630 6896062356 8620077945 9194749808 10344093534 11493437260 13792124712 15516140301 17240155890 18389499616 20688187068 22986874520 25860233835 27584249424 31032280602 34480311780 41376374136 45973749040 46548420903 51720467670 55168498848 62064561204 68960623560 77580701505 82752748272 91947498080 93096841806 103440935340 124129122408 137921247120 139645262709 155161403010 165505496544 186193683612 206881870680 232742104515 248258244816 275842494240 279290525418 310322806020 372387367224 413763741360 465484209030 496516489632 558581050836 620645612040 698226313545 744774734448 827527482720 930968418060 1117162101672 1241291224080 1396452627090 1489549468896 1861936836120 2234324203344 2482582448160 2792905254180 3723873672240 4468648406688 5585810508360 7447747344480 11171621016720 22343242033440