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114999972230416 = 247213217217332
BaseRepresentation
bin11010001001011110000100…
…011111100111010100010000
3120002011220000210102001211011
4122021132010133213110100
5110033124420342333131
61044330131413100304
733136321342323100
oct3211360437472420
9502156023361734
10114999972230416
113370823a30aa89
1210a93922027694
134c225b2691a00
142058057b39200
15d4662e79b0b1
hex6897847e7510

114999972230416 has 405 divisors, whose sum is σ = 298314123387021. Its totient is φ = 42793640128512.

The previous prime is 114999972230413. The next prime is 114999972230431. The reversal of 114999972230416 is 614032279999411.

The square root of 114999972230416 is 10723804.

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

It can be written as a sum of positive squares in 13 ways, for example, as 74612625379600 + 40387346850816 = 8637860^2 + 6355104^2 .

It is a super-2 number, since 2×1149999722304162 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (114999972230411) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 66358898286 + ... + 66358900018.

Almost surely, 2114999972230416 is an apocalyptic number.

114999972230416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

114999972230416 is the 10723804-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114999972230416

114999972230416 is an abundant number, since it is smaller than the sum of its proper divisors (183314151156605).

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

114999972230416 is an equidigital number, since it uses as much as digits as its factorization.

114999972230416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3548 (or 1772 counting only the distinct ones).

The product of its (nonzero) digits is 52907904, while the sum is 67.

The spelling of 114999972230416 in words is "one hundred fourteen trillion, nine hundred ninety-nine billion, nine hundred seventy-two million, two hundred thirty thousand, four hundred sixteen".