Search a number
-
+
114097646722500 = 2234547233912
BaseRepresentation
bin11001111100010101101101…
…101100111101110111000100
3112221222121222011202221110000
4121330111231230331313010
5104423333440030110000
61042355422454001300
733014166023132100
oct3174255554756704
9487877864687400
10114097646722500
113339a5a4067721
1210968a7b046230
134b8849219c31c
1420264d9964900
15d2ce1d010000
hex67c56db3ddc4

114097646722500 has 675 divisors, whose sum is σ = 433703544008427. Its totient is φ = 26071771320000.

The previous prime is 114097646722489. The next prime is 114097646722517. The reversal of 114097646722500 is 5227646790411.

The square root of 114097646722500 is 10681650.

It is a perfect power (a square), and thus also a powerful number.

114097646722500 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 9 + 7 + 64 + 6 + 72 + 2 + 500 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8945255503044 + 105152391219456 = 2990862^2 + 10254384^2 .

It is a tau number, because it is divible by the number of its divisors (675).

It is a super-2 number, since 2×1140976467225002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 33647195805 + ... + 33647199195.

Almost surely, 2114097646722500 is an apocalyptic number.

114097646722500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

114097646722500 is the 10681650-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114097646722500

114097646722500 is an abundant number, since it is smaller than the sum of its proper divisors (319605897285927).

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

114097646722500 is an frugal number, since it uses more digits than its factorization.

114097646722500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6832 (or 3408 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 114097646722500 in words is "one hundred fourteen trillion, ninety-seven billion, six hundred forty-six million, seven hundred twenty-two thousand, five hundred".