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12303310551424 = 271511674338803
BaseRepresentation
bin1011001100001001011001…
…1101000111100110000000
31121120011222212101120100021
42303002112131013212000
53103034140000121144
642100021323503224
72406612335114314
oct263022635074600
947504885346307
1012303310551424
113a13894072412
121468569987b14
136b3274356359
143076aa685b44
15165086068884
hexb3096747980

12303310551424 has 128 divisors (see below), whose sum is σ = 24880712532480. Its totient is φ = 6059606630400.

The previous prime is 12303310551407. The next prime is 12303310551443. The reversal of 12303310551424 is 42415501330321.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×123033105514242 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12303310551424.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1397622607 + ... + 1397631409.

It is an arithmetic number, because the mean of its divisors is an integer number (194380566660).

Almost surely, 212303310551424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12303310551424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12440356266240).

12303310551424 is an abundant number, since it is smaller than the sum of its proper divisors (12577401981056).

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

12303310551424 is a wasteful number, since it uses less digits than its factorization.

12303310551424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9568 (or 9556 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 34.

Adding to 12303310551424 its reverse (42415501330321), we get a palindrome (54718811881745).

The spelling of 12303310551424 in words is "twelve trillion, three hundred three billion, three hundred ten million, five hundred fifty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 128 151 167 302 334 433 604 668 866 1208 1336 1732 2416 2672 3464 4832 5344 6928 8803 9664 10688 13856 17606 19328 21376 25217 27712 35212 50434 55424 65383 70424 72311 100868 130766 140848 144622 201736 261532 281696 289244 403472 523064 563392 578488 806944 1046128 1126784 1156976 1329253 1470101 1613888 2092256 2313952 2658506 2940202 3227776 3811699 4184512 4627904 5317012 5880404 7623398 8369024 9255808 10634024 10918961 11760808 15246796 21268048 21837922 23521616 30493592 42536096 43675844 47043232 60987184 85072192 87351688 94086464 121974368 170144384 174703376 188172928 221985251 243948736 349406752 443970502 487897472 575566549 636553733 698813504 887941004 1151133098 1273107466 1397627008 1775882008 2302266196 2546214932 3551764016 4604532392 5092429864 7103528032 9209064784 10184859728 14207056064 18418129568 20369719456 28414112128 36836259136 40739438912 73672518272 81478877824 96119613683 192239227366 384478454732 768956909464 1537913818928 3075827637856 6151655275712 12303310551424