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21235014403344 = 24327312243302971
BaseRepresentation
bin1001101010000001010010…
…11111011000010100010000
32210012001021122221121020200
410311000221133120110100
510240403302141401334
6113055121514535200
74321115311160340
oct465005137302420
983161248847220
1021235014403344
1168477a0042655
12246b5a3437500
13bb05b7a962b1
14535accb60d20
1526c5889e9799
hex1350297d8510

21235014403344 has 240 divisors, whose sum is σ = 70140742324224. Its totient is φ = 5868795513600.

The previous prime is 21235014403319. The next prime is 21235014403357. The reversal of 21235014403344 is 44330441053212.

21235014403344 is a `hidden beast` number, since 2 + 1 + 235 + 0 + 14 + 403 + 3 + 4 + 4 = 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 = 21235014403299 and 21235014403308.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69937779 + ... + 70240749.

Almost surely, 221235014403344 is an apocalyptic number.

21235014403344 is a gapful number since it is divisible by the number (24) 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 21235014403344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35070371162112).

21235014403344 is an abundant number, since it is smaller than the sum of its proper divisors (48905727920880).

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

21235014403344 is a wasteful number, since it uses less digits than its factorization.

21235014403344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305266 (or 305257 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 21235014403344 its reverse (44330441053212), we get a palindrome (65565455456556).

The spelling of 21235014403344 in words is "twenty-one trillion, two hundred thirty-five billion, fourteen million, four hundred three thousand, three hundred forty-four".