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11420103342432 = 253257462877081
BaseRepresentation
bin1010011000101111001100…
…1100111111100101100000
31111102202021122012122201110
42212023303030333211200
52444101332423424212
640142153440103320
72256034543524201
oct246136314774540
944382248178643
1011420103342432
113703269684aa4
121345361604b40
1364abac980c95
142b6a436415a8
1514c0e2e33a3c
hexa62f333f960

11420103342432 has 48 divisors (see below), whose sum is σ = 30094416363312. Its totient is φ = 3791889039360.

The previous prime is 11420103342409. The next prime is 11420103342469. The reversal of 11420103342432 is 23424330102411.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 11420103342432.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 231413869 + ... + 231463212.

It is an arithmetic number, because the mean of its divisors is an integer number (626967007569).

Almost surely, 211420103342432 is an apocalyptic number.

11420103342432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11420103342432 is an abundant number, since it is smaller than the sum of its proper divisors (18674313020880).

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

11420103342432 is a wasteful number, since it uses less digits than its factorization.

11420103342432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462877351 (or 462877343 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 11420103342432 its reverse (23424330102411), we get a palindrome (34844433444843).

The spelling of 11420103342432 in words is "eleven trillion, four hundred twenty billion, one hundred three million, three hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 257 514 771 1028 1542 2056 3084 4112 6168 8224 12336 24672 462877081 925754162 1388631243 1851508324 2777262486 3703016648 5554524972 7406033296 11109049944 14812066592 22218099888 44436199776 118959409817 237918819634 356878229451 475837639268 713756458902 951675278536 1427512917804 1903350557072 2855025835608 3806701114144 5710051671216 11420103342432