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11434221338680 = 235740836504781
BaseRepresentation
bin1010011001100011110010…
…1100111000000000111000
31111111002201112201011201101
42212120330230320000320
52444314241130314210
640152450405501144
72260044443520130
oct246307454700070
944432645634641
1011434221338680
113709253946598
1213480417117b4
1364c31c864a0a
142b75c2671ac0
1514c66c5c3a3a
hexa663cb38038

11434221338680 has 32 divisors (see below), whose sum is σ = 29402283443040. Its totient is φ = 3920304458880.

The previous prime is 11434221338663. The next prime is 11434221338681. The reversal of 11434221338680 is 8683312243411.

It is a self number, because there is not a number n which added to its sum of digits gives 11434221338680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11434221338681) 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, 20418252111 + ... + 20418252670.

It is an arithmetic number, because the mean of its divisors is an integer number (918821357595).

Almost surely, 211434221338680 is an apocalyptic number.

11434221338680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11434221338680 is an abundant number, since it is smaller than the sum of its proper divisors (17968062104360).

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

11434221338680 is a wasteful number, since it uses less digits than its factorization.

11434221338680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40836504799 (or 40836504795 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 46.

The spelling of 11434221338680 in words is "eleven trillion, four hundred thirty-four billion, two hundred twenty-one million, three hundred thirty-eight thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 40836504781 81673009562 163346019124 204182523905 285855533467 326692038248 408365047810 571711066934 816730095620 1143422133868 1429277667335 1633460191240 2286844267736 2858555334670 5717110669340 11434221338680