Search a number
-
+
114190073652830 = 25741151263493259
BaseRepresentation
bin11001111101101011110010…
…110001101110011001011110
3112222022110112120100111002212
4121331223302301232121132
5104431342232323342310
61042510110131520422
733023650322104220
oct3175536261563136
9488273476314085
10114190073652830
113342581371445a
1210982974759112
134b94101a48c46
14202ab86cd2410
15d3052c482205
hex67daf2c6e65e

114190073652830 has 64 divisors (see below), whose sum is σ = 242228299944960. Its totient is φ = 37943029152000.

The previous prime is 114190073652803. The next prime is 114190073652847. The reversal of 114190073652830 is 38256370091411.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131313260 + ... + 132179999.

It is an arithmetic number, because the mean of its divisors is an integer number (3784817186640).

It is a 1-persistent number, because it is pandigital, but 2⋅114190073652830 = 228380147305660 is not.

Almost surely, 2114190073652830 is an apocalyptic number.

114190073652830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

114190073652830 is an abundant number, since it is smaller than the sum of its proper divisors (128038226292130).

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

114190073652830 is a wasteful number, since it uses less digits than its factorization.

114190073652830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263493465.

The product of its (nonzero) digits is 1088640, while the sum is 50.

The spelling of 114190073652830 in words is "one hundred fourteen trillion, one hundred ninety billion, seventy-three million, six hundred fifty-two thousand, eight hundred thirty".

Divisors: 1 2 5 7 10 14 35 41 70 82 151 205 287 302 410 574 755 1057 1435 1510 2114 2870 5285 6191 10570 12382 30955 43337 61910 86674 216685 433370 263493259 526986518 1317466295 1844452813 2634932590 3688905626 9222264065 10803223619 18444528130 21606447238 39787482109 54016118095 75622565333 79574964218 108032236190 151245130666 198937410545 278512374763 378112826665 397874821090 557024749526 756225653330 1392561873815 1631286766469 2785123747630 3262573532938 8156433832345 11419007365283 16312867664690 22838014730566 57095036826415 114190073652830