Search a number
-
+
109341087744 = 211372923023
BaseRepresentation
bin110010111010100111…
…1001001100000000000
3101110020011112202200110
41211311033021200000
53242412304301434
6122121450551320
710620400624320
oct1456517114000
9343204482613
10109341087744
114240a214629
1219236138540
13a406b454b5
1454138a3280
152c9e33e4e9
hex19753c9800

109341087744 has 288 divisors, whose sum is σ = 345146780160. Its totient is φ = 30153080832.

The previous prime is 109341087719. The next prime is 109341087799. The reversal of 109341087744 is 447780143901.

It is a happy number.

It is a super-2 number, since 2×1093410877442 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 109341087693 and 109341087702.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36168217 + ... + 36171239.

It is an arithmetic number, because the mean of its divisors is an integer number (1198426320).

Almost surely, 2109341087744 is an apocalyptic number.

109341087744 is a gapful number since it is divisible by the number (14) 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 109341087744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172573390080).

109341087744 is an abundant number, since it is smaller than the sum of its proper divisors (235805692416).

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

109341087744 is an equidigital number, since it uses as much as digits as its factorization.

109341087744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3113 (or 3064 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

The spelling of 109341087744 in words is "one hundred nine billion, three hundred forty-one million, eighty-seven thousand, seven hundred forty-four".