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114207498916 = 227210122392
BaseRepresentation
bin110101001011101001…
…1000010001010100100
3101220210022120001211021
41222113103002022210
53332344104431131
6124244411020524
711152111503100
oct1522723021244
9356708501737
10114207498916
1144487179345
121a173a3a744
13aa010ccc34
145755d0c900
152e866a8e11
hex1a974c22a4

114207498916 has 81 divisors (see below), whose sum is σ = 235805162817. Its totient is φ = 48258688800.

The previous prime is 114207498863. The next prime is 114207498947. The reversal of 114207498916 is 619894702411.

The square root of 114207498916 is 337946.

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

114207498916 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 109729212516 + 4478286400 = 331254^2 + 66920^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 477855525 + ... + 477855763.

Almost surely, 2114207498916 is an apocalyptic number.

114207498916 is the 337946-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114207498916

114207498916 is an abundant number, since it is smaller than the sum of its proper divisors (121597663901).

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

114207498916 is an equidigital number, since it uses as much as digits as its factorization.

114207498916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 52.

The spelling of 114207498916 in words is "one hundred fourteen billion, two hundred seven million, four hundred ninety-eight thousand, nine hundred sixteen".

Divisors: 1 2 4 7 14 28 49 98 101 196 202 239 404 478 707 956 1414 1673 2828 3346 4949 6692 9898 10201 11711 19796 20402 23422 24139 40804 46844 48278 57121 71407 96556 114242 142814 168973 228484 285628 337946 399847 499849 675892 799694 999698 1182811 1599388 1999396 2365622 2438039 2798929 4731244 4876078 5597858 5769221 9752156 11195716 11538442 17066273 23076884 34132546 40384547 68265092 80769094 119463911 161538188 238927822 282691829 477855644 565383658 582691321 1130767316 1165382642 2330765284 4078839247 8157678494 16315356988 28551874729 57103749458 114207498916