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24142314101312 = 261197353536699
BaseRepresentation
bin1010111110101000100100…
…00011100101101001000000
310011110222112101020121120002
411133110102003211221000
511131021424402220222
6123202454225135132
75041140022646261
oct537242203455100
9104428471217502
1024142314101312
117768774a15370
12285ab3818a4a8
1310617c2212b74
145d66cc288968
152bcee4cbc392
hex15f5120e5a40

24142314101312 has 56 divisors (see below), whose sum is σ = 52801413218400. Its totient is φ = 10860647362560.

The previous prime is 24142314101303. The next prime is 24142314101317. The reversal of 24142314101312 is 21310141324142.

It is not an unprimeable number, because it can be changed into a prime (24142314101317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 176700062 + ... + 176836637.

It is an arithmetic number, because the mean of its divisors is an integer number (942882378900).

Almost surely, 224142314101312 is an apocalyptic number.

24142314101312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

24142314101312 is an abundant number, since it is smaller than the sum of its proper divisors (28659099117088).

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

24142314101312 is a wasteful number, since it uses less digits than its factorization.

24142314101312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353536819 (or 353536809 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

Adding to 24142314101312 its reverse (21310141324142), we get a palindrome (45452455425454).

The spelling of 24142314101312 in words is "twenty-four trillion, one hundred forty-two billion, three hundred fourteen million, one hundred one thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 97 176 194 352 388 704 776 1067 1552 2134 3104 4268 6208 8536 17072 34144 68288 353536699 707073398 1414146796 2828293592 3888903689 5656587184 7777807378 11313174368 15555614756 22626348736 31111229512 34293059803 62222459024 68586119606 124444918048 137172239212 248889836096 274344478424 377223657833 548688956848 754447315666 1097377913696 1508894631332 2194755827392 3017789262664 6035578525328 12071157050656 24142314101312