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23364421442400 = 2535214965336749
BaseRepresentation
bin1010100111111111101000…
…00010100101101101100000
310001201121122200222011100010
411103333310002211231200
511030300313342124100
6121405244513524520
74631011100311563
oct523776402455540
9101647580864303
1023364421442400
1174988828821a5
122754221573740
1310063423cc50c
145aabb60464da
152a7b6775d750
hex153ff40a5b60

23364421442400 has 144 divisors (see below), whose sum is σ = 76561603650000. Its totient is φ = 6188696770560.

The previous prime is 23364421442389. The next prime is 23364421442413. The reversal of 23364421442400 is 424412446332.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32310775 + ... + 33025974.

It is an arithmetic number, because the mean of its divisors is an integer number (531677803125).

Almost surely, 223364421442400 is an apocalyptic number.

23364421442400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23364421442400 is an abundant number, since it is smaller than the sum of its proper divisors (53197182207600).

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

23364421442400 is a wasteful number, since it uses less digits than its factorization.

23364421442400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65336921 (or 65336908 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 39.

Adding to 23364421442400 its reverse (424412446332), we get a palindrome (23788833888732).

The spelling of 23364421442400 in words is "twenty-three trillion, three hundred sixty-four billion, four hundred twenty-one million, four hundred forty-two thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 149 150 160 200 240 298 300 400 447 480 596 600 745 800 894 1192 1200 1490 1788 2235 2384 2400 2980 3576 3725 4470 4768 5960 7152 7450 8940 11175 11920 14304 14900 17880 22350 23840 29800 35760 44700 59600 71520 89400 119200 178800 357600 65336749 130673498 196010247 261346996 326683745 392020494 522693992 653367490 784040988 980051235 1045387984 1306734980 1568081976 1633418725 1960102470 2090775968 2613469960 3136163952 3266837450 3920204940 4900256175 5226939920 6272327904 6533674900 7840409880 9735175601 9800512350 10453879840 13067349800 15680819760 19470351202 19601024700 26134699600 29205526803 31361639520 38940702404 39202049400 48675878005 52269399200 58411053606 77881404808 78404098800 97351756010 116822107212 146027634015 155762809616 156808197600 194703512020 233644214424 243379390025 292055268030 311525619232 389407024040 467288428848 486758780050 584110536060 730138170075 778814048080 934576857696 973517560100 1168221072120 1460276340150 1557628096160 1947035120200 2336442144240 2920552680300 3894070240400 4672884288480 5841105360600 7788140480800 11682210721200 23364421442400