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110434443840 = 26325724318199
BaseRepresentation
bin110011011011001100…
…1111110001001000000
3101120001100220000021200
41212312121332021000
53302132204200330
6122422145221200
710656445166400
oct1466631761100
9346040800250
10110434443840
1142920401206
12194a0331800
13a54c50b076
1454b8b92800
152d15311a60
hex19b667e240

110434443840 has 504 divisors, whose sum is σ = 452165313600. Its totient is φ = 24653776896.

The previous prime is 110434443809. The next prime is 110434443941. The reversal of 110434443840 is 48344434011.

110434443840 is a `hidden beast` number, since 1 + 104 + 34 + 443 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×1104344438402 (a number of 23 digits) contains 22 as substring.

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 = 110434443795 and 110434443804.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6059061 + ... + 6077259.

It is an arithmetic number, because the mean of its divisors is an integer number (897153400).

Almost surely, 2110434443840 is an apocalyptic number.

110434443840 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 110434443840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226082656800).

110434443840 is an abundant number, since it is smaller than the sum of its proper divisors (341730869760).

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

110434443840 is a wasteful number, since it uses less digits than its factorization.

110434443840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18279 (or 18259 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 110434443840 its reverse (48344434011), we get a palindrome (158778877851).

The spelling of 110434443840 in words is "one hundred ten billion, four hundred thirty-four million, four hundred forty-three thousand, eight hundred forty".