Search a number
-
+
114843416207 = 131722389109137
BaseRepresentation
bin110101011110100110…
…0110111011010001111
3101222102122011000100112
41222331030313122033
53340144403304312
6124431444550235
711203632634262
oct1527514673217
9358378130315
10114843416207
1144783129423
121a3109b237b
13aaa2a92c60
1457b6564cd9
152ec241dd22
hex1abd33768f

114843416207 has 96 divisors (see below), whose sum is σ = 140926262400. Its totient is φ = 92814999552.

The previous prime is 114843416201. The next prime is 114843416269. The reversal of 114843416207 is 702614348411.

It is not a de Polignac number, because 114843416207 - 224 = 114826638991 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114843416201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 838273043 + ... + 838273179.

It is an arithmetic number, because the mean of its divisors is an integer number (1467981900).

Almost surely, 2114843416207 is an apocalyptic number.

114843416207 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

114843416207 is a deficient number, since it is larger than the sum of its proper divisors (26082846193).

114843416207 is a wasteful number, since it uses less digits than its factorization.

114843416207 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 41.

The spelling of 114843416207 in words is "one hundred fourteen billion, eight hundred forty-three million, four hundred sixteen thousand, two hundred seven".

Divisors: 1 13 17 23 89 109 137 221 289 299 391 1157 1417 1513 1781 1853 2047 2329 2507 3151 3757 5083 6647 9701 12193 14933 19669 24089 25721 26611 30277 31501 32591 34799 39593 40963 42619 53567 86411 126113 158509 164917 194129 207281 223123 253861 280439 334373 343459 409513 452387 514709 554047 591583 696371 724523 910639 1329037 2143921 2694653 2803589 2900599 3300193 3523777 3645707 3793091 4315637 4464967 4767463 5838803 7690579 9418799 11838307 17277481 22593629 30567851 36446657 45809101 49310183 56103281 61977019 64482547 75904439 81046871 99259651 293717177 384091693 397382063 519653467 838273111 1053609323 1290375463 4993192009 6755495071 8834108939 114843416207