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24423117050340 = 223251398447115561
BaseRepresentation
bin1011000110110011100110…
…01101110101000111100100
310012110211100000112102001100
411203121303031311013210
511200122020431102330
6123535454115000100
75100340415433201
oct543316315650744
9105424300472040
1024423117050340
117866870958088
1228a5444599030
131082122b100c8
146061299daca8
152c547be6b060
hex1636733751e4

24423117050340 has 144 divisors (see below), whose sum is σ = 74625908797440. Its totient is φ = 6465154890240.

The previous prime is 24423117050333. The next prime is 24423117050351. The reversal of 24423117050340 is 4305071132442.

24423117050340 is a `hidden beast` number, since 2 + 4 + 42 + 3 + 1 + 1 + 70 + 503 + 40 = 666.

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 = 24423117050295 and 24423117050304.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 211286160 + ... + 211401720.

It is an arithmetic number, because the mean of its divisors is an integer number (518235477760).

Almost surely, 224423117050340 is an apocalyptic number.

24423117050340 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 24423117050340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37312954398720).

24423117050340 is an abundant number, since it is smaller than the sum of its proper divisors (50202791747100).

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

24423117050340 is a wasteful number, since it uses less digits than its factorization.

24423117050340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124162 (or 124157 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

Adding to 24423117050340 its reverse (4305071132442), we get a palindrome (28728188182782).

The spelling of 24423117050340 in words is "twenty-four trillion, four hundred twenty-three billion, one hundred seventeen million, fifty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 139 180 278 417 556 695 834 1251 1390 1668 2085 2502 2780 4170 5004 6255 8340 8447 12510 16894 25020 25341 33788 42235 50682 76023 84470 101364 115561 126705 152046 168940 231122 253410 304092 346683 380115 462244 506820 577805 693366 760230 1040049 1155610 1174133 1386732 1520460 1733415 2080098 2311220 2348266 3466830 3522399 4160196 4696532 5200245 5870665 6933660 7044798 10400490 10567197 11741330 14089596 16062979 17611995 20800980 21134394 23482660 32125958 35223990 42268788 48188937 52835985 64251916 70447980 80314895 96377874 105671970 144566811 160629790 192755748 211343940 240944685 289133622 321259580 481889370 578267244 722834055 963778740 976143767 1445668110 1952287534 2891336220 2928431301 3904575068 4880718835 5856862602 8785293903 9761437670 11713725204 14642156505 17570587806 19522875340 29284313010 35141175612 43926469515 58568626020 87852939030 135683983613 175705878060 271367967226 407051950839 542735934452 678419918065 814103901678 1221155852517 1356839836130 1628207803356 2035259754195 2442311705034 2713679672260 4070519508390 4884623410068 6105779262585 8141039016780 12211558525170 24423117050340