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114313241340 = 2232517922915493
BaseRepresentation
bin110101001110110011…
…0011010001011111100
3101221001200112100011100
41222131212122023330
53333103142210330
6124303105253100
711154534343044
oct1523546321374
9357050470140
10114313241340
1144530932181
121a1a3334190
13aa19ca440c
145765d96724
152e90ae5060
hex1a9d99a2fc

114313241340 has 144 divisors (see below), whose sum is σ = 350232573600. Its totient is φ = 30178911744.

The previous prime is 114313241323. The next prime is 114313241369. The reversal of 114313241340 is 43142313411.

114313241340 is a `hidden beast` number, since 1 + 1 + 4 + 313 + 2 + 4 + 1 + 340 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7370634 + ... + 7386126.

It is an arithmetic number, because the mean of its divisors is an integer number (2432170650).

Almost surely, 2114313241340 is an apocalyptic number.

114313241340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114313241340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175116286800).

114313241340 is an abundant number, since it is smaller than the sum of its proper divisors (235919332260).

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

114313241340 is a wasteful number, since it uses less digits than its factorization.

114313241340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15916 (or 15911 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 114313241340 its reverse (43142313411), we get a palindrome (157455554751).

The spelling of 114313241340 in words is "one hundred fourteen billion, three hundred thirteen million, two hundred forty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 179 180 229 358 458 537 687 716 895 916 1074 1145 1374 1611 1790 2061 2148 2290 2685 2748 3222 3435 3580 4122 4580 5370 6444 6870 8055 8244 10305 10740 13740 15493 16110 20610 30986 32220 40991 41220 46479 61972 77465 81982 92958 122973 139437 154930 163964 185916 204955 232395 245946 278874 309860 368919 409910 464790 491892 557748 614865 697185 737838 819820 929580 1229730 1394370 1475676 1844595 2459460 2773247 2788740 3547897 3689190 5546494 7095794 7378380 8319741 10643691 11092988 13866235 14191588 16639482 17739485 21287382 24959223 27732470 31931073 33278964 35478970 41598705 42574764 49918446 53218455 55464940 63862146 70957940 83197410 99836892 106436910 124796115 127724292 159655365 166394820 212873820 249592230 319310730 499184460 635073563 638621460 1270147126 1905220689 2540294252 3175367815 3810441378 5715662067 6350735630 7620882756 9526103445 11431324134 12701471260 19052206890 22862648268 28578310335 38104413780 57156620670 114313241340