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13618021404240 = 2434511331353
BaseRepresentation
bin1100011000101011000101…
…0101000000111001010000
31210012212111022210202220000
43012022301111000321100
53241104201434413430
644544011020050000
72603604160016511
oct306126125007120
953185438722800
1013618021404240
114380409075000
12163b31b993900
1377a2350cb816
143511898a8a08
151893816d9e60
hexc62b1540e50

13618021404240 has 1600 divisors, whose sum is σ = 54771949799424. Its totient is φ = 3134563660800.

The previous prime is 13618021404233. The next prime is 13618021404241. The reversal of 13618021404240 is 4240412081631.

13618021404240 is a `hidden beast` number, since 1 + 3 + 6 + 1 + 8 + 0 + 2 + 1 + 404 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13618021404195 and 13618021404204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13618021404241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 256943800054 + ... + 256943800106.

Almost surely, 213618021404240 is an apocalyptic number.

13618021404240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13618021404240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27385974899712).

13618021404240 is an abundant number, since it is smaller than the sum of its proper divisors (41153928395184).

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

13618021404240 is an frugal number, since it uses more digits than its factorization.

13618021404240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

Adding to 13618021404240 its reverse (4240412081631), we get a palindrome (17858433485871).

The spelling of 13618021404240 in words is "thirteen trillion, six hundred eighteen billion, twenty-one million, four hundred four thousand, two hundred forty".