Search a number
-
+
114723368519760 = 243457112131607867
BaseRepresentation
bin11010000101011100011101…
…101000001100100001010000
3120001012110001210201200110000
4122011130131220030201100
5110014111424320113020
61043555104331410000
733110330006505510
oct3205343550144120
9501173053650400
10114723368519760
11336109a8774200
1210a4a1a7bb3900
134c024a0a648c0
1420488d7da1840
15d3e3410cb090
hex68571da0c850

114723368519760 has 1200 divisors, whose sum is σ = 539036743690368. Its totient is φ = 22004868188160.

The previous prime is 114723368519677. The next prime is 114723368519807. The reversal of 114723368519760 is 67915863327411.

114723368519760 is a `hidden beast` number, since 1 + 1 + 4 + 7 + 23 + 36 + 8 + 519 + 7 + 60 = 666.

It is a super-2 number, since 2×1147233685197602 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 70547347 + ... + 72155213.

It is a 1-persistent number, because it is pandigital, but 2⋅114723368519760 = 229446737039520 is not.

Almost surely, 2114723368519760 is an apocalyptic number.

114723368519760 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 114723368519760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269518371845184).

114723368519760 is an abundant number, since it is smaller than the sum of its proper divisors (424313375170608).

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

114723368519760 is a wasteful number, since it uses less digits than its factorization.

114723368519760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1607934 (or 1607908 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 114723368519760 in words is "one hundred fourteen trillion, seven hundred twenty-three billion, three hundred sixty-eight million, five hundred nineteen thousand, seven hundred sixty".