Search a number
-
+
114355113224000 = 2653111299489923
BaseRepresentation
bin11010000000000101011111…
…111001101110011101000000
3112222220020112110102101002212
4122000011133321232131000
5104442043232441132000
61043114002550401252
733041612211235565
oct3200053771563500
9488806473371085
10114355113224000
1133489805201a70
12109aa954060228
134ba68440baa2c
142034b61c4886c
15d3498b590c35
hex68015fe6e740

114355113224000 has 112 divisors (see below), whose sum is σ = 308945932491456. Its totient is φ = 41583677504000.

The previous prime is 114355113223933. The next prime is 114355113224047. The reversal of 114355113224000 is 422311553411.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 649656962 + ... + 649832961.

Almost surely, 2114355113224000 is an apocalyptic number.

114355113224000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114355113224000 is an abundant number, since it is smaller than the sum of its proper divisors (194590819267456).

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

114355113224000 is a wasteful number, since it uses less digits than its factorization.

114355113224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1299489961 (or 1299489941 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

Adding to 114355113224000 its reverse (422311553411), we get a palindrome (114777424777411).

The spelling of 114355113224000 in words is "one hundred fourteen trillion, three hundred fifty-five billion, one hundred thirteen million, two hundred twenty-four thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 125 160 176 200 220 250 275 320 352 400 440 500 550 704 800 880 1000 1100 1375 1600 1760 2000 2200 2750 3520 4000 4400 5500 8000 8800 11000 17600 22000 44000 88000 1299489923 2598979846 5197959692 6497449615 10395919384 12994899230 14294389153 20791838768 25989798460 28588778306 32487248075 41583677536 51979596920 57177556612 64974496150 71471945765 83167355072 103959193840 114355113224 129948992300 142943891530 162436240375 207918387680 228710226448 259897984600 285887783060 324872480750 357359728825 415836775360 457420452896 519795969200 571775566120 649744961500 714719457650 914840905792 1039591938400 1143551132240 1299489923000 1429438915300 1786798644125 2079183876800 2287102264480 2598979846000 2858877830600 3573597288250 4574204528960 5197959692000 5717755661200 7147194576500 10395919384000 11435511322400 14294389153000 22871022644800 28588778306000 57177556612000 114355113224000