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24002441130420 = 22325891498279721
BaseRepresentation
bin1010111010100100000001…
…11110100011000110110100
310010222121111101120110222200
411131102000332203012310
511121223444412133140
6123014322542024500
75025055603215234
oct535220076430664
9103877441513880
1024002441130420
117714418304065
122837a00b78130
131051560a6932c
145cda1d885cc4
152b955a2de030
hex15d480fa31b4

24002441130420 has 72 divisors (see below), whose sum is σ = 73625465539080. Its totient is φ = 6328733537280.

The previous prime is 24002441130397. The next prime is 24002441130487. The reversal of 24002441130420 is 2403114420042.

24002441130420 is a `hidden beast` number, since 2 + 400 + 244 + 1 + 13 + 0 + 4 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 424754599824 + 23577686530596 = 651732^2 + 4855686^2 .

It is a super-2 number, since 2×240024411304202 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 749123841 + ... + 749155880.

It is an arithmetic number, because the mean of its divisors is an integer number (1022575910265).

Almost surely, 224002441130420 is an apocalyptic number.

24002441130420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24002441130420 is an abundant number, since it is smaller than the sum of its proper divisors (49623024408660).

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

24002441130420 is a wasteful number, since it uses less digits than its factorization.

24002441130420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1498279825 (or 1498279820 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 24002441130420 its reverse (2403114420042), we get a palindrome (26405555550462).

The spelling of 24002441130420 in words is "twenty-four trillion, two billion, four hundred forty-one million, one hundred thirty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 89 90 178 180 267 356 445 534 801 890 1068 1335 1602 1780 2670 3204 4005 5340 8010 16020 1498279721 2996559442 4494839163 5993118884 7491398605 8989678326 13484517489 14982797210 17979356652 22474195815 26969034978 29965594420 44948391630 53938069956 67422587445 89896783260 133346895169 134845174890 266693790338 269690349780 400040685507 533387580676 666734475845 800081371014 1200122056521 1333468951690 1600162742028 2000203427535 2400244113042 2666937903380 4000406855070 4800488226084 6000610282605 8000813710140 12001220565210 24002441130420