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12340001024 = 281343531627
BaseRepresentation
bin10110111111000010…
…10111100100000000
31011211222220000001222
423133201113210000
5200233020013044
65400253014212
7614540164241
oct133741274400
934758800058
1012340001024
11526267745a
122484784368
131218729770
14850c44cc8
154c35318ee
hex2df857900

12340001024 has 144 divisors (see below), whose sum is σ = 27672587712. Its totient is φ = 5454618624.

The previous prime is 12340000999. The next prime is 12340001057. The reversal of 12340001024 is 42010004321.

It is a junction number, because it is equal to n+sod(n) for n = 12340000993 and 12340001011.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7583699 + ... + 7585325.

It is an arithmetic number, because the mean of its divisors is an integer number (192170748).

Almost surely, 212340001024 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 12340001024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13836293856).

12340001024 is an abundant number, since it is smaller than the sum of its proper divisors (15332586688).

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

12340001024 is a wasteful number, since it uses less digits than its factorization.

12340001024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1752 (or 1738 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 12340001024 its reverse (42010004321), we get a palindrome (54350005345).

The spelling of 12340001024 in words is "twelve billion, three hundred forty million, one thousand, twenty-four".

Divisors: 1 2 4 8 13 16 26 32 43 52 53 64 86 104 106 128 172 208 212 256 344 416 424 559 688 689 832 848 1118 1376 1378 1627 1664 1696 2236 2279 2752 2756 3254 3328 3392 4472 4558 5504 5512 6508 6784 8944 9116 11008 11024 13016 13568 17888 18232 21151 22048 26032 29627 35776 36464 42302 44096 52064 59254 69961 71552 72928 84604 86231 88192 104128 118508 139922 143104 145856 169208 172462 176384 208256 237016 279844 291712 338416 344924 416512 474032 559688 583424 676832 689848 909493 948064 1119376 1121003 1353664 1379696 1818986 1896128 2238752 2242006 2707328 2759392 3637972 3707933 3792256 4477504 4484012 5414656 5518784 7275944 7415866 7584512 8955008 8968024 11037568 14551888 14831732 17910016 17936048 22075136 29103776 29663464 35872096 48203129 58207552 59326928 71744192 96406258 116415104 118653856 143488384 192812516 232830208 237307712 286976768 385625032 474615424 771250064 949230848 1542500128 3085000256 6170000512 12340001024