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114730442889216 = 21137211731932459
BaseRepresentation
bin11010000101100011000011…
…010010110001100000000000
3120001020010022211101212221120
4122011203003102301200000
5110014220421334423331
61044002234323552240
733111000220610400
oct3205430322614000
9501203284355846
10114730442889216
11336139a8aa3730
1210a4b64122b680
134c0305a5a912b
142048da975a800
15d3e6071d5796
hex6858c34b1800

114730442889216 has 1152 divisors, whose sum is σ = 395674949779200. Its totient is φ = 29227713822720.

The previous prime is 114730442889199. The next prime is 114730442889233. The reversal of 114730442889216 is 612988244037411.

It is a happy number.

114730442889216 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (114730442889199) and next prime (114730442889233).

It is a self number, because there is not a number n which added to its sum of digits gives 114730442889216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46657356595 + ... + 46657359053.

It is an arithmetic number, because the mean of its divisors is an integer number (343467838350).

Almost surely, 2114730442889216 is an apocalyptic number.

114730442889216 is a gapful number since it is divisible by the number (16) 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 114730442889216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197837474889600).

114730442889216 is an abundant number, since it is smaller than the sum of its proper divisors (280944506889984).

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

114730442889216 is a wasteful number, since it uses less digits than its factorization.

114730442889216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2775 (or 2748 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 60.

The spelling of 114730442889216 in words is "one hundred fourteen trillion, seven hundred thirty billion, four hundred forty-two million, eight hundred eighty-nine thousand, two hundred sixteen".